Soft 17: Why H17 and S17 Tables Are Not the Same Game

Unknown — Sat, 05 Sep 2026 00:00:00 +0000

A soft 17</strong> is any 17 containing an ace counted as 11: A,6 or A,2,4 or A,3,3. The rule governing what the dealer does with it is printed on the felt and is worth about 0.22%</strong> of your total action — roughly half the entire house edge at a good table.</p>

S17</strong> — dealer stands on all 17s. Better for you.</li>
H17</strong> — dealer hits soft 17. Costs you 0.22%.</li> </ul>
To put 0.22% in perspective: it is more than the value of the surrender option, more than the difference between six decks and two, and about half of what you gain by playing perfect basic strategy instead of merely competent blackjack.</p>
Why hitting soft 17 helps the dealer</h2>
The intuition that trips people is that hitting a made 17 should be risky. It would be, on a hard 17. On a soft</strong> 17 it is free: the ace reverts to 1, so the draw cannot bust the hand.</p>
Meanwhile, 17 is a poor total. Against a player who has stood, 17 loses to 18, 19, 20 and 21, and ties only 17. The dealer holding soft 17 is holding a hand that mostly loses. A costless attempt to improve it is clearly worth taking.</p>
What the dealer risks is ending on a hard</em> 12 through 16 — a genuinely bad total — and then having to draw again with real bust risk. That downside is real, and it is why the rule is worth only 0.22% rather than more. But it is smaller than the upside.</p>
Strategy changes under H17</h2>
Four plays change. All of them are cases where the dealer’s improved hand makes your marginal option more attractive, not less.</p>
Hand</th> S17 play</th> H17 play</th></tr></thead>

Hard 11 vs A</strong></td> Hit</td> Double</strong></td></tr>
A,7 (soft 18) vs 2</strong></td> Stand</td> Double</strong></td></tr>
A,8 (soft 19) vs 6</strong></td> Stand</td> Double</strong></td></tr>
15 vs A</strong> (if surrender offered)</td> Hit</td> Surrender</strong></td></tr>
17 vs A</strong> (if surrender offered)</td> Stand</td> Surrender</strong></td></tr> </tbody></table>
The soft 19 double against a 6 is the one that looks wrong. Standing on 19 feels unimpeachable. Under H17 the dealer showing a 6 will now draw to soft 17s and reach 18, 19, 20 or 21 more often, which erodes the value of a static 19 enough to make the extra bet worthwhile. It is a thin edge — but it is the correct play, and it appears on every H17 strategy chart.</p>
Everything else on the main chart</a> is unchanged.</p>
How to read the felt</h2>
The layout text is standardised enough to be reliable:</p>

“Dealer must draw to 16 and stand on all 17s”</strong> → S17</li>
“Dealer must hit soft 17”</strong> → H17</li>
Some tables mark H17 with a small stripe or icon near the dealer’s chip tray</li> </ul>
If you cannot tell, ask. The dealer will answer, and it takes five seconds.</p>
In practice</h2>
The rule has drifted toward H17 over the past two decades, particularly on lower-minimum tables, and it is frequently paired with 6:5 blackjack payouts on the same felt. If a table is H17 and</em> pays 6:5, the house edge is around 2.0%</strong> rather than 0.43% — a game roughly five times as expensive as the one down the aisle.</p>
Priority when choosing a table:</p>

3:2 blackjack</strong> — non-negotiable, worth 1.39%</li>
S17</strong> — worth 0.22%</li>
Double after split allowed</strong> — worth 0.14%</li>
Fewer decks</strong> — worth up to 0.19%</li>
Surrender offered</strong> — worth 0.08%</li> </ol>
The first item outweighs all the others combined.</p>
Full breakdown: blackjack house edge by rule</a>.</p>

When to Double Down in Blackjack

Unknown — Sat, 05 Sep 2026 00:00:00 +0000

Doubling down is the largest single source of value in basic strategy after the split decisions. A player who never doubles gives up roughly 1.6%</strong> — nearly four times the entire house edge at a good table.</p>
The reason is structural. Every other decision in blackjack is about limiting losses. Doubling is the only one that lets you put more money in when the odds have swung your way.</p>
The complete list</h2>
Dealer upcard across the top. Double where marked; otherwise play the hand normally.</p>
Your hand</th> 2</th> 3</th> 4</th> 5</th> 6</th> 7</th> 8</th> 9</th> 10</th> A</th></tr></thead>

Hard 9</strong></td> —</td> ✓</td> ✓</td> ✓</td> ✓</td> —</td> —</td> —</td> —</td> —</td></tr>
Hard 10</strong></td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> —</td> —</td></tr>
Hard 11</strong></td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> —</td></tr>
A,2 / A,3</strong></td> —</td> —</td> —</td> ✓</td> ✓</td> —</td> —</td> —</td> —</td> —</td></tr>
A,4 / A,5</strong></td> —</td> —</td> ✓</td> ✓</td> ✓</td> —</td> —</td> —</td> —</td> —</td></tr>
A,6</strong></td> —</td> ✓</td> ✓</td> ✓</td> ✓</td> —</td> —</td> —</td> —</td> —</td></tr>
A,7</strong></td> —</td> ✓</td> ✓</td> ✓</td> ✓</td> —</td> —</td> —</td> —</td> —</td></tr>
5,5</strong></td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> ✓</td> —</td> —</td></tr> </tbody></table>
4–8 decks, dealer stands on soft 17, double after split allowed.</em></p>
On A,7 against 3–6</strong>, double if the table allows it; if it does not, stand</strong> rather than hit. That is the “Ds” notation on the full strategy chart</a>.</p>
Why each group is correct</h2>
Hard 11 — the strongest double in the game</h3>
You cannot bust. Any ten-value card makes 21, and there are sixteen of them in every fifty-two. You reach 20 or 21 about 46%</strong> of the time on the draw card alone.</p>
Double against everything except an ace. Against an ace, the dealer’s hand is strong enough and their natural-blackjack probability high enough that the extra bet stops paying. (In games where the dealer hits soft 17, doubling 11 against an ace becomes correct.)</p>
Hard 10 — nearly as strong</h3>
Same logic, one rank lower: a ten-value card gives you 20 rather than 21. Double against 2 through 9. Stop against a ten or an ace, where the dealer is likely to have 20 or better and you are drawing to merely match it.</p>
Hard 9 — narrow window</h3>
Nine only doubles against the dealer’s genuinely weak cards, 3 through 6</strong>. Against a 2 the dealer is not weak enough; the 2 busts only about 35% of the time, the least bust-prone of the “bust cards”. Against 7 or higher you are the underdog and should just hit.</p>
Soft doubles — a different bet entirely</h3>
Hard doubles are about making a strong total. Soft doubles are about punishing a weak dealer</strong>. On A,4 against a 5 you are not expecting to make 19. Roughly half your draws leave you with a mediocre hand. You double anyway because the dealer showing a 5 busts about 42% of the time, and getting more money onto the table while they are that vulnerable is worth more than the quality of your own total.</p>
This is why the soft-double windows are narrow and centred on 4, 5 and 6 — the three upcards where the dealer busts most often:</p>
Dealer upcard</th> Bust probability</th></tr></thead>

2</td> 35.3%</td></tr>
3</td> 37.6%</td></tr>
4</td> 40.3%</td></tr>
5</td> 42.9%</td></tr>
6</td> 42.1%</td></tr>
7</td> 26.0%</td></tr>
8</td> 23.9%</td></tr>
9</td> 23.3%</td></tr>
10</td> 21.4%</td></tr>
A</td> 11.7%</td></tr> </tbody></table>
Dealer stands on soft 17. The ace figure assumes the dealer has already checked for and does not have a natural.</em></p>
Notice that 5 and 6 are the peak, and 6 is slightly below</em> 5 — a detail that surprises people who think of 6 as the dealer’s worst card. It is the worst card in terms of the dealer’s final expected hand, but 5 busts marginally more often.</p>
5,5 — a doubling hand, not a splitting hand</h3>
A pair of fives is a hard 10. Play it as a hard 10 and double against 2–9. Splitting fives is one of the most expensive errors available at the table: it converts the best low starting total in the game into two hands starting with the worst card.</p>
The four doubles most often missed</h2>
Situation</th> What players do</th> Cost of the error</th></tr></thead>

11 vs 10</strong></td> Hit</td> Large — this is the most-missed double at any table</td></tr>
A,7 vs 6</strong></td> Stand on soft 18</td> Moderate, and frequent</td></tr>
9 vs 3</strong></td> Hit</td> Small per hand, common enough to add up</td></tr>
A,2 / A,3 vs 5–6</strong></td> Hit</td> Small, and almost universally missed</td></tr> </tbody></table>
All four share a pattern: they feel like pressing a hand that is not strong enough. Hard 9 does not feel like a doubling hand. Soft 18 feels finished. The chart is not describing how the hand feels; it is describing what the hand is worth against that specific upcard.</p>
When not to double, regardless of the chart</h2>

If the table does not allow it.</strong> Doubling on 9 is barred at some tables; the chart assumes it is available. Hit instead.</li>
If you cannot cover the second bet.</strong> Never double with money you need to leave with. Basic strategy assumes an indifferent bankroll; you may not have one.</li>
After splitting, where DAS is not offered.</strong> Some tables bar doubling after a split. Check before you split a pair whose value depends on doubling the resulting hands.</li> </ul>
What it is worth</h2>
Playing every double correctly, against never doubling at all: about 1.6%</strong> of total action. On $10 hands at 60 hands an hour, that is roughly $9.60 an hour</strong> — more than the entire house edge at a well-played 3:2 table.</p>
Next: the complete basic strategy chart</a>.</p>

Are Casino Winnings Taxable?

Unknown — Sat, 05 Sep 2026 00:00:00 +0000

This page is general information, not tax advice.</strong> Tax law is jurisdiction-specific, changes frequently, and depends on your individual circumstances. For anything that affects a real return, consult a qualified tax professional in your country. With that stated plainly, here is the general shape of how gambling winnings are treated.</p>
United States: yes, all of it</h2>
The IRS treats all gambling winnings as taxable income</strong>. This is broad and has few exceptions:</p>

It applies to casino games, slots, table games, poker, lotteries, raffles, and sports betting.</li>
It applies regardless of amount</strong> — there is no minimum below which winnings are tax-free.</li>
It applies whether or not</strong> you receive a tax form.</li>
It applies to winnings from offshore and online</strong> casinos, including those not licensed in the US.</li> </ul>
Winnings are reported as “other income” on your federal return. Depending on your state, they may be taxable at the state level too.</p>
When the casino reports: Form W-2G</h3>
A casino is required to issue Form W-2G</strong> and report the payout to the IRS when a win crosses certain thresholds:</p>
Game</th> W-2G threshold</th></tr></thead>

Slots and bingo</td> $1,200 or more</td></tr>
Keno</td> $1,500 or more (net of wager)</td></tr>
Poker tournament</td> $5,000 or more (net of buy-in)</td></tr>
Other (table games, etc.)</td> $600 or more and</strong> 300× the wager</td></tr> </tbody></table>
Table games like blackjack, roulette and craps usually do not</strong> trigger a W-2G, because the 300× condition is rarely met — but this does not</strong> make the winnings tax-free. The reporting threshold governs when the casino tells the IRS; your obligation to report the income exists either way.</p>
Withholding</h3>
For certain large payouts the casino may withhold 24%</strong> for federal tax (higher if you do not provide a taxpayer ID). This is a prepayment, reconciled when you file — you may owe more or get some back depending on your bracket.</p>
Deducting losses</h3>
US taxpayers can deduct gambling losses</strong>, but under strict conditions:</p>

Only if you itemize</strong> deductions (not if you take the standard deduction).</li>
Only up to the amount of your winnings</strong> — you can zero out gambling income, but you cannot create a net loss that offsets other income.</li>
You must keep contemporaneous records</strong>: dates, venues, amounts, and supporting documentation.</li> </ul>
So a year of $10,000 in wins and $12,000 in losses is taxed on $10,000 of income, and $10,000 of losses may be deductible if you itemize — the extra $2,000 of loss is simply gone for tax purposes.</p>
Professional gamblers</strong> are treated differently — gambling as a trade or business, reporting on Schedule C, with different loss rules — but that status has a high bar and is its own subject.</p>
Other major jurisdictions</h2>
The US approach is on the stricter end. Many countries do the opposite for recreational players.</p>
Country</th> Recreational gambling winnings</th></tr></thead>

United Kingdom</strong></td> Not taxed.</strong> No tax on winnings; the duty is levied on operators, not players.</td></tr>
Canada</strong></td> Generally not taxed</strong> for recreational players; taxable if gambling is a business/profession.</td></tr>
Australia</strong></td> Generally not taxed</strong> — treated as luck, not income, for recreational players.</td></tr>
Ireland</strong></td> Not taxed</strong> for players; betting duty falls on bookmakers.</td></tr>
Germany</strong></td> Winnings generally not taxed for players; specific rules for professional activity and lottery.</td></tr>
France</strong></td> Casino and most winnings not taxed for players; specific levies elsewhere.</td></tr>
South Africa</strong></td> Generally not taxed for casual players; National Lottery exempt; professional activity differs.</td></tr>
United States</strong></td> Fully taxable</strong>, as above.</td></tr> </tbody></table>
The common pattern outside the US: recreational winnings are treated as windfalls rather than income and are not taxed, while the tax burden sits on the operator. The US is the notable exception among major English-speaking markets.</p>
Offshore and online winnings</h2>
A frequent misconception is that winnings from an offshore or unlicensed online casino are somehow outside the tax system. In the US they are not — the source does not change the obligation</strong> to report the income. Whether it was legal for you to use that casino is a separate legal question, and both the tax and the legality are your responsibility to sort out.</p>
Practical friction: getting money out of an offshore casino and documenting it for a tax return can be difficult, which is a record-keeping problem, not an exemption.</p>
The takeaway</h2>

In the US</strong>, assume all winnings are taxable and reportable, form or no form, and keep records of both wins and losses.</li>
In the UK, Canada, Australia and much of Europe</strong>, recreational winnings are generally not taxed — but professional or business-level gambling can be.</li>
Verify against current law for your country before acting</strong>, and get professional advice for anything material. Rules and thresholds change, and this page will not always be current.</li> </ul>
See also: responsible gambling</a> · house edge, every game</a></p>

House Edge: Every Casino Game Compared

Unknown — Sat, 05 Sep 2026 00:00:00 +0000

Every figure here is the expected loss per unit wagered</strong>, per resolved bet, under the rules stated. Derivations are in methodology</a>.</p>
The complete ranking</h2>
Game / bet</th> House edge</th></tr></thead>

Craps — free odds</td> 0.00%</strong></td></tr>
Craps — pass/come with 3-4-5× odds</td> 0.37%</td></tr>
Blackjack — 6 deck, S17, 3:2, basic strategy</td> 0.43%</td></tr>
Video poker — 9/6 Jacks or Better, optimal</td> 0.46%</td></tr>
Video poker — full-pay Deuces Wild, optimal</td> −0.76%</strong> (player edge)</td></tr>
Blackjack — 2 deck, S17, surrender, 3:2</td> 0.06%</td></tr>
Baccarat — banker</td> 1.06%</td></tr>
Baccarat — player</td> 1.24%</td></tr>
Roulette — French, la partage, even money</td> 1.35%</td></tr>
Don’t pass / don’t come</td> 1.36%</td></tr>
Craps — pass line, no odds</td> 1.41%</td></tr>
Craps — place 6 or 8</td> 1.52%</td></tr>
Blackjack — 6 deck, H17, 3:2</td> 0.65%</td></tr>
Pai Gow Poker — banking</td> ~1.46%</td></tr>
Craps — buy 4/10, commission on win</td> 1.67%</td></tr>
Blackjack — 6:5 payout</td> 1.82%</td></tr>
Pai Gow Poker — not banking</td> 2.84%</td></tr>
Roulette — European single zero</td> 2.70%</td></tr>
Craps — field (12 pays 3:1)</td> 2.78%</td></tr>
Let It Ride</td> 3.51%</td></tr>
Three Card Poker — ante/play</td> 3.37%</td></tr>
Craps — place 5 or 9</td> 4.00%</td></tr>
Caribbean Stud</td> 5.22%</td></tr>
Roulette — American double zero</td> 5.26%</td></tr>
Craps — field (12 pays 2:1)</td> 5.56%</td></tr>
Slots — typical land-based</td> 5–10%</td></tr>
Craps — place 4 or 10</td> 6.67%</td></tr>
Pair Plus — 3:1 flush pay table</td> 7.28%</td></tr>
Blackjack — insurance</td> 7.39%</td></tr>
Roulette — five-number bet</td> 7.89%</td></tr>
Sic Bo — most bets</td> 2.8–18.98%</td></tr>
Craps — big 6 / big 8</td> 9.09%</td></tr>
Craps — hard 6 / hard 8</td> 9.09%</td></tr>
Baccarat — pair side bets</td> 10.36%</td></tr>
Craps — hard 4 / hard 10</td> 11.11%</td></tr>
Craps — any craps, yo, ace deuce</td> 11.11%</td></tr>
Craps — horn</td> 12.50%</td></tr>
Craps — snake eyes, boxcars</td> 13.89%</td></tr>
Baccarat — tie (8:1)</td> 14.36%</td></tr>
Craps — any seven</strong></td> 16.67%</strong></td></tr>
Keno</strong></td> 25–30%</strong></td></tr>
Lottery — typical state draw</td> 40–50%</td></tr> </tbody></table>
How the number is produced</h2>
House edge is expected value with the sign flipped, divided by the amount wagered. Nothing more.</p>
Take the craps pass line. It wins 244 times in 495 resolutions:</p>
EV = (244/495 × +1) + (251/495 × −1) = −7/495 = −0.01414</code></p>
House edge 1.41%</strong>.</p>
Take a single number on an American roulette wheel, paying 35:1 on one pocket in 38:</p>
EV = (1/38 × +35) + (37/38 × −1) = −2/38 = −0.05263</code></p>
House edge 5.26%</strong>.</p>
Both figures come from the same two ingredients: the probability of winning and what the win pays. There is no third ingredient — no adjustment for skill, streaks, dealer, time of day, or how much you have already lost.</p>
Percentage is not cost</h2> A 5.26% roulette bet is more than twelve times the percentage of a 0.43% blackjack game. It is frequently the cheaper</strong> session, because roulette is slow.</p> Expected cost per hour is:</p> edge × average bet × decisions per hour</code></p> Game</th> Edge</th> Bet</th> Decisions/hr</th> Cost/hour</th></tr></thead> Roulette, American</td> 5.26%</td> $10</td> 40</td> $21</strong></td></tr> Blackjack, 3:2, full table</td> 0.43%</td> $25</td> 60</td> $6.45</strong></td></tr> Blackjack, 3:2, heads-up</td> 0.43%</td> $25</td> 200</td> $21.50</strong></td></tr> Craps, pass + odds</td> 0.37%</td> $60 total</td> 30</td> $6.66</strong></td></tr> Video poker, 9/6, $1 5-coin</td> 0.46%</td> $5</td> 600</td> $13.80</strong></td></tr> Video poker, 8/5, $1 5-coin</td> 2.70%</td> $5</td> 600</td> $81.00</strong></td></tr> Slots, $1 spin</td> 8%</td> $1</td> 600</td> $48.00</strong></td></tr> Keno, live lounge</td> 27%</td> $1</td> 12</td> $3.24</strong></td></tr> Video keno</td> 27%</td> $1</td> 300</td> $81.00</strong></td></tr> </tbody></table> Keno, the worst game in the building by percentage, is the cheapest line in that table when played in a live lounge — and among the most expensive when played on a machine. Speed is the multiplier most players never account for.</strong></p> Two practical consequences:</p> A crowded blackjack table is cheaper than an empty one, because you play fewer hands.</li> Any machine game deserves a much lower edge than a table game, because it deals ten times as fast.</li> </ol> What the edge does not tell you</h2> Variance.</strong> Two games with identical edges can feel completely different. Even-money roulette and a straight-up number both cost 5.26%, but one drifts and the other lurches. High-variance games produce more winning sessions and</em> more severe losing ones — the distribution is wider, not shifted.</p> Your actual result.</strong> Edge is a long-run average. Over a few hundred hands, variance dominates completely. This is why the edge is invisible in a single session and inescapable over a year.</p> Hit frequency.</strong> A game can pay out constantly and still be expensive — the craps Iron Cross wins on about 70% of rolls at a blended 2.4%. Frequent small wins funded by occasional large losses is the standard shape of an expensive bet.</p> Reference points</h2> 1%</strong> of $100 wagered is $1. If you play $10 hands for an hour at 60 hands, you wager $600 and give up $6.</li> Money wagered</strong> is the driver, not money brought. A $200 bankroll cycled ten times is $2,000 wagered.</li> No edge is beatable by betting patterns.</strong> Why</a>.</li> </ul> How Casino RNGs Work Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Every outcome in a modern casino game — every spin, every virtual card, every dice roll on a screen — comes from a random number generator. Understanding what an RNG is, and what it cannot do, dissolves most gambling superstitions in one step.</p> What an RNG actually is</h2> Almost all casino RNGs are pseudo-random number generators</strong> (PRNGs): deterministic algorithms that produce a sequence of numbers which passes statistical tests for randomness. “Deterministic” means that given the same starting point (the seed</em>), the sequence is reproducible — which is exactly what makes it testable and auditable.</p> The generator runs continuously, producing thousands of values per second, whether or not anyone is playing. The moment you press spin, the values at that instant</em> are taken and mapped onto the game. Press a millisecond earlier or later and you would get a different result — which is why the outcome cannot be timed or predicted from the outside.</p> Physical casino equipment sometimes uses hardware RNGs</strong> that derive randomness from physical noise (electronic or thermal). The principle for the player is identical: the next result does not depend on the last.</p> From numbers to reels and cards</h2> The raw output is just numbers. The game maps them:</p> Slots</strong> — each reel has a set of virtual stops</em>, often far more than the symbols you see. An RNG value selects a virtual stop per reel; the visible symbol is whatever sits there. The house edge lives in how the virtual stops are weighted</em> — a jackpot symbol might occupy one virtual stop while a blank occupies twenty, so the symbols you see are not equally likely even though they share the reel.</li> Video poker and online blackjack</strong> — the RNG orders a virtual 52-card deck. Video poker is a genuinely fair deal from a full deck, which is why its return is exactly calculable.</li> Roulette and dice on screen</strong> — the RNG picks the pocket or the dice faces directly.</li> </ul> The weighting is where the mathematics is. The randomness is honest; the distribution</em> is designed. A slot is not cheating you by making the jackpot rare — the rarity is the published mathematics, and the RTP already accounts for it.</p> Why “due” is always wrong</h2> The defining property of these outcomes is independence</strong>: each result is statistically unconnected to every result before it. The generator has no variable that tracks “how long since this machine paid” or “how much this player is down”.</p> So:</p> A slot that has not hit in 500 spins is not “warming up”. Spin 501 has the same probability as spin 1.</li> A roulette wheel showing ten reds does not owe you a black. The eleventh spin is 18/37 for red, same as the first.</li> A “hot” machine is a machine that happened to pay recently. That fact predicts nothing about the next spin.</li> </ul> This is the gambler’s fallacy</a>, and it is the engine behind almost every betting system and every “strategy” for picking machines. The RNG’s independence is precisely what makes those systems worthless.</p> Certification</h2> In a regulated market, the RNG and the game’s return are tested by independent laboratories before deployment and periodically after:</p> eCOGRA</strong>, iTech Labs</strong>, GLI</strong> (Gaming Laboratories International), BMM</strong> — the common testing houses.</li> They verify the RNG passes recognised statistical randomness batteries (the outputs are uniformly distributed, unpredictable, and non-repeating over the tested range).</li> They confirm the game returns its stated RTP</strong> over tens of millions of simulated rounds.</li> A certification seal in a game’s info screen links to the test report.</li> </ul> The critical caveat: certification is only as strong as the regulator behind it.</strong> A UK Gambling Commission or Malta Gaming Authority licence carries real, enforced testing requirements. A licence from a permissive jurisdiction may require far less, and a rogue operator can display a seal it is not entitled to. Check that the seal links to a live report, and that the regulator is one with a track record of enforcement.</p> What it means online versus in a pit</h2> Card counting does not work online.</strong> A certified online blackjack game reshuffles the virtual deck every hand, so the composition never drifts and there is no count to track. The edge is fixed at the basic-strategy figure with no way to beat it.</li> Slot “strategies” for timing or machine selection do not work</strong>, because the RNG runs continuously and independently.</li> Provably fair</strong> systems (common in crypto casinos) go further: they publish a hashed seed before the bet and reveal it after, letting you verify the result was not altered once you bet. That proves the specific outcome was not tampered with; it does not change the house edge, which is still built into the game.</li> </ul> See also: what is RTP</a> · Real Time Gaming explained</a> · why betting systems cannot work</a></p> The Martingale System and Why Betting Systems Cannot Work Unknown — Sat, 05 Sep 2026 00:00:00 +0000 The Martingale is the oldest betting system in gambling: after every loss, double your stake; after every win, return to the base bet. Each win recovers all previous losses plus one unit.</p> It works exactly as described. It also loses money at precisely the same rate as flat betting, and this page shows why.</p> The sequence</h2> Base bet $10 on red at a European wheel.</p> Spin</th> Bet</th> Result</th> Cumulative</th></tr></thead> 1</td> $10</td> Lose</td> −$10</td></tr> 2</td> $20</td> Lose</td> −$30</td></tr> 3</td> $40</td> Lose</td> −$70</td></tr> 4</td> $80</td> Lose</td> −$150</td></tr> 5</td> $160</td> Lose</td> −$310</td></tr> 6</td> $320</td> Win</strong></td> +$10</strong></td></tr> </tbody></table> Six spins, $630 wagered, $10 profit. The recovery is real and it is why the system is seductive: you win, over and over, until you don’t.</p> Why the expectation does not move</h2> Expected value is linear</strong>. For any sequence of bets:</p> E[total] = E[bet 1] + E[bet 2] + ... + E[bet n]</code></p> This holds whether the bets are independent or not, and whether their sizes are chosen in advance or based on earlier results. It is a property of expectation itself, not an assumption about the game.</p> Every single bet on a European wheel has expectation −2.70%</code> of its size. So:</p> E[total] = −0.027 × (total amount wagered)</code></p> That is the entire proof. The only thing a betting system can change is how much you wager</strong>. Martingale increases it dramatically after losses, which increases expected loss in absolute terms while leaving the rate untouched.</p> In the six-spin sequence above, the $630 wagered carries an expected loss of $17.01 — more than the $10 the system was trying to win.</p> The failure, priced</h2> Martingale’s profit is small and near-certain; its loss is large and rare. Those two facts do not offset in your favour, and here is the arithmetic.</p> On a European wheel, red loses with probability 19/37 = 51.35%.</p> Consecutive losses</th> Probability</th> Next bet needed</th> Total staked</th></tr></thead> 4</td> 6.96%</td> $160</td> $150</td></tr> 6</td> 1.84%</td> $640</td> $630</td></tr> 8</td> 0.485%</td> $2,560</td> $2,550</td></tr> 10</td> 0.128%</td> $10,240</td> $10,230</td></tr> 12</td> 0.0337%</td> $40,960</td> $40,950</td></tr> </tbody></table> A run of eight is not rare. It happens roughly once in 206 sequences — which, at 40 spins an hour, is a few hours of play. To survive it you need $2,550 in the bankroll and a table that accepts a $2,560 bet, all to protect $10 of profit per cycle.</p> The table limit is what actually kills it.</strong> A $10 minimum table typically has a $500 or $1,000 maximum. From $10, doubling reaches $640 on the seventh bet and $1,280 on the eighth. You are cut off after six or seven losses — an event with probability around 1.8%, so it happens roughly every 55 cycles.</p> Play 55 cycles: you win about $550 in $10 increments, then lose $630 in one sequence. Net, you have wagered a great deal of money to lose 2.70% of it.</p> The other systems</h2> All of them are Martingale with different arithmetic, and all fail for the identical reason.</p> Grand Martingale</strong> — double and add one unit. Larger wins, larger losses, same expectation.</p> Anti-Martingale (Paroli)</strong> — double after wins instead. Frequent small losses, rare large wins. Mirror image; same expectation.</p> D’Alembert</strong> — increase by one unit after a loss, decrease by one after a win. Gentler progression, slower ruin, same expectation. Its premise — that wins and losses tend to equalise — is the gambler’s fallacy stated as a rule.</p> Fibonacci</strong> — step along 1, 1, 2, 3, 5, 8 after losses. Grows slower than doubling, so it lasts longer and recovers less. Same expectation.</p> Labouchère</strong> — write a sequence, bet the sum of the ends, cross off on a win, append on a loss. The sequence grows on losses and the required bets grow with it. Same expectation.</p> Oscar’s Grind</strong> — increase only after a win, target one unit of profit per cycle. Very low variance, very long cycles, same expectation.</p> Every one of these has been tried by very determined people for three hundred years. The result is a theorem, not an opinion: no strategy for varying stakes on independent negative-expectation bets produces a positive expectation.</p> The gambler’s fallacy underneath</h2> Most systems rest on the belief that a run of losses makes a win more likely. It does not. The wheel has no memory, the shoe is not owed anything, and the dice do not track their history.</p> After ten reds, the probability of black on the eleventh spin is 18/37 — exactly what it was on the first spin. The 50-50 balance people expect emerges over millions of spins by dilution</em> of early results, not by correction</em> of them. A ten-red streak is never cancelled; it is simply outnumbered.</p> What actually changes the odds</h2> There are exactly three categories, and none of them involve bet sizing on a fixed game:</p> Card counting in blackjack</strong> — the composition of the shoe genuinely changes as cards are dealt, so the odds of the next hand</em> change. Bet sizing then works, because you are betting more when the bets themselves are better.</li> Positive-expectation machine games</strong> — a full-pay Deuces Wild machine at 100.76%, or a progressive jackpot above its break-even point. The bet itself is favourable.</li> A mispriced line</strong> — sports betting or poker, where you are wagering against someone else’s judgement rather than a fixed mathematical structure.</li> </ol> All three change the odds of the underlying bet. That is the only thing that works.</p> If you use a progression anyway</h2> Some people prefer the shape of the results and accept the cost, which is a defensible choice made honestly. If that is you:</p> Know your table maximum before you start, and count how many doublings it allows.</li> Size the base bet so the full progression fits inside your session bankroll.</li> Understand that you are trading many small wins for a rare large loss, and that the trade is slightly negative, every time.</li> Do not increase the base bet to “make back” a completed failed cycle. That is Martingale applied to Martingale.</li> </ul> See also: house edge across every game</a> · responsible gambling</a></p> Real Time Gaming (RTG): What the Software Is and How to Read Its Odds Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Real Time Gaming — RTG — is one of the software providers behind a large share of US-facing online casinos, including the one that operated at this domain until 2018. Understanding what RTG is, and what it is not, explains a lot about how these casinos actually work.</p> This page is about the software and its mathematics</strong>, not a recommendation of any casino running it.</p> What RTG is</h2> RTG is a games developer founded in 1998. It builds slots, table games, video poker and specialty games, and licenses them to online casino operators — it does not run casinos itself. When you played a slot at an RTG casino, you were playing RTG’s game on the operator’s site, under the operator’s licence (historically often Curaçao or Antigua-Barbuda).</p> The distinction matters. The game math</strong> is RTG’s. The payout settings, bonus terms, withdrawal policies and licensing</strong> are the operator’s. A complaint about a slow withdrawal is about the operator; a question about how a slot’s bonus round works is about the software.</p> RTG’s best-known slots — the Cash Bandits series, Achilles, Aztec’s Millions, Bubble Bubble, the progressive network including Aztec’s Millions and Jackpot Cleopatra’s Gold — are the recognisable titles across dozens of otherwise unrelated casinos, because the casinos license the same catalogue.</p> How the games decide outcomes</h2> RTG games use a random number generator</strong> (RNG) — a deterministic algorithm producing a stream of numbers with no memory of previous results. Each spin maps a fresh set of RNG outputs onto reel positions. See how RNG works</a> for the mechanism in general; it is the same principle across every regulated software provider.</p> Two consequences follow, and they hold for RTG as for any RNG-based game:</p> No spin is “due”.</strong> A slot that has paid nothing for 300 spins has exactly the same probability on spin 301. The RNG does not track your balance.</li> The house edge is built into the reel weightings</strong>, not into any reaction to how you play. The game cannot “know” you are on a winning streak, because it has no state that depends on you.</li> </ul> The RTP-setting problem</h2> This is the single most important thing to understand about RTG games, and it applies to many providers in the same market.</p> A given RTG slot is frequently shipped in multiple RTP configurations</strong> — for example the same title might exist at 95.5%, 94.0% and 92.0%. The artwork, the paytable display</em> and the features are identical across versions; the difference is in the internal reel weightings, which are not visible to the player. The operator chooses which build to run.</p> In tightly regulated markets (parts of the EU and UK) the deployed return must be published in the game’s info screen. For Curaçao and Antigua-licensed casinos it usually is not. So:</p> An RTP figure you find quoted for an RTG title tells you what the game can</em> return, not what the specific casino has set</em>.</p> </blockquote> Treat published RTG RTP figures as an upper bound unless the casino discloses the deployed version. RTG slots commonly span roughly 93% to 97.5%</strong> depending on title and build — a range wide enough that the setting matters more than the title.</p> See what RTP is</a> for how the number behaves over a session versus the long run.</p> No deposit bonus codes, honestly</h2> “RTG no deposit bonus” codes are a staple of this segment. A code credits a small amount — say $25 — without requiring a deposit. The terms are where the value goes:</p> Wagering requirement</strong> — typically 30× to 60× the bonus. A $25 bonus at 40× means wagering $1,000 before any withdrawal.</li> Maximum cashout</strong> — a cap, often $100 or a small multiple of the bonus, on what you can withdraw no matter how much you win</em>. This is the term that defines the bonus’s real value.</li> Game restrictions</strong> — slots usually count 100% toward wagering; table games often count little or nothing, and playing an excluded game can void the bonus entirely.</li> Maximum bet while wagering</strong> — exceeding it (commonly $5 or $10 a spin) can forfeit winnings.</li> </ul> After the terms, the expected value of a no-deposit bonus to the player is usually small and often negative once you account for the probability of busting the balance before clearing the playthrough. They are a marketing tool, not free money. The one time they are clearly worthwhile is if you would have deposited and played anyway — then the bonus is a genuine, if capped, addition.</p> What this domain was</h2> This site is published at winwardcasino.ag</code>, which ran an RTG casino until 2018. That history is documented separately</a>, including the disclosure that this site is not affiliated with that casino or any other operator, and takes no wagers.</p> The reason RTG is covered here at all: it is the software that defined a whole class of US-facing casinos, its RTP-setting behaviour is genuinely worth understanding, and explaining it accurately is more useful than leaving the topic to the affiliate pages that dominate it.</p> See also: what is RTP</a> · how RNG works</a> · house edge, every game</a></p> What Is RTP? Unknown — Sat, 05 Sep 2026 00:00:00 +0000 RTP</strong> — return to player — is the percentage of money wagered that a game pays back over the long run. It is the house edge inverted:</p> RTP + house edge = 100%</code></p> A 96% slot has a 4% house edge. A 99.54% video poker machine has a 0.46% house edge. They are the same statement.</p> The convention is that machine games are advertised by RTP and table games are discussed by house edge, which is one of the reasons the two are rarely compared directly. They should be:</p> Game</th> RTP</th> House edge</th></tr></thead> Craps, pass + odds</td> 99.63%</td> 0.37%</td></tr> Blackjack, basic strategy</td> 99.57%</td> 0.43%</td></tr> Video poker, 9/6 Jacks or Better</td> 99.54%</td> 0.46%</td></tr> Baccarat, banker</td> 98.94%</td> 1.06%</td></tr> Roulette, European</td> 97.30%</td> 2.70%</td></tr> Online slot, good</td> 96–97%</td> 3–4%</td></tr> Roulette, American</td> 94.74%</td> 5.26%</td></tr> Land-based slot, typical</td> 88–94%</td> 6–12%</td></tr> Keno</td> 70–75%</td> 25–30%</td></tr> </tbody></table> “Long run” is longer than you think</h2> RTP is calculated over the complete cycle of a game’s mathematics — for a slot, typically tens of millions of spins. It is not a description of a session, a day, or a machine’s lifetime with one player.</p> For a medium-volatility 96% slot at $1 a spin:</p> Spins</th> Realistic range of outcomes</th></tr></thead> 100</td> −$100 to +$500, commonly −$40</td></tr> 1,000</td> −$400 to +$1,000</td></tr> 10,000</td> −$700 to +$300</td></tr> 1,000,000</td> −$40,000 ± a few thousand</td></tr> </tbody></table> The 4% only becomes visible at the bottom of that table. At the top, variance is the entire story — which is why a player can be genuinely, substantially ahead on a 96% game and a different player genuinely, substantially behind, with both experiencing exactly the advertised mathematics.</p> The same slot ships at several RTPs</h2> This is the part that undermines most published slot RTP lists.</p> Manufacturers commonly certify a title in multiple configurations — for instance 96.5%, 94.5% and 92.1% — and the operator chooses which build to deploy. Every version has the same artwork, the same features, the same name and the same paytable display</em>. The difference is in the weighting of the reel strips, which is not visible.</p> So an RTP figure quoted on a review site tells you what the game can</strong> return, not what the machine in front of you does</strong> return.</p> Where operators are required to publish the deployed figure — parts of the UK and several EU markets — check it in the game’s info panel. Where they are not, treat published figures as an upper bound.</p> RTP and volatility are independent</h2> Two games can share an RTP and behave nothing alike.</p> Low volatility</strong> — frequent small wins, shallow swings. A 96% low-volatility slot grinds your balance down steadily and occasionally up.</li> High volatility</strong> — long dry spells punctuated by large wins. The same 96%, delivered in a completely different shape.</li> </ul> Neither is mathematically better. Volatility determines how long a given bankroll lasts and how likely you are to be ahead at any moment, not what the game costs.</p> A rough guide for the same $100 at $1 a spin:</p> Volatility</th> Typical hit frequency</th> Median session outcome</th> Chance of doubling</th></tr></thead> Low</td> 30–40% of spins</td> Slow decline</td> Low</td></tr> Medium</td> 20–30%</td> Decline with spikes</td> Moderate</td></tr> High</td> 10–20%</td> Fast decline, rare large win</td> Higher</td></tr> </tbody></table> High volatility gives you a better chance of a big win and</strong> a better chance of losing the whole stake quickly. The expectation is unchanged.</p> Bonus rounds are included</h2> A slot advertising “96% RTP” includes everything — base game, free spins, bonus rounds, jackpots. It is not 96% in the base game plus extra from features.</p> This matters for the “buy feature” button, which sells direct entry to the bonus round for 50–100× the stake. Buy features are certified separately and typically carry an RTP within a percentage point of the base game, sometimes slightly higher, sometimes lower. They are not a shortcut to better odds; they are a way to wager a lot of money quickly, which multiplies the cost of whatever edge the game carries.</p> What RTP does not tell you</h2> Whether the machine is “due”.</strong> Every spin is independent. A game that has paid nothing for 500 spins has exactly the same probability on spin 501.</li> Your expected session result.</strong> See the table above.</li> How the return is distributed.</strong> A 96% game returning almost everything through one 1-in-50,000 jackpot is a very different experience from a 96% game paying steadily.</li> What the operator has deployed</strong>, unless it is published.</li> </ul> Practical takeaway</h2> If you play slots, the useful moves are the boring ones: prefer operators that publish the deployed RTP, prefer higher published figures, treat volatility as a bankroll decision rather than a strategy, and remember that a 96% slot at 600 spins an hour costs about $24 an hour</strong> at $1 a spin — more than a $25 blackjack table.</p> See also: house edge across every game</a>.</p> The Best Bets in Craps Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Craps rewards discipline more than any other pit game, because the difference between the best and worst available bet is a factor of forty-five. Getting this right is not about finding an edge — there isn’t one — but about not paying ten times more than you need to for the same two hours at the same table.</p> The whole strategy, in four bets</h2> 1. Pass line, before the come-out.</strong> 1.41% on its own. This is your entry ticket; its real job is to unlock the next bet.</p> 2. Maximum odds behind it, once a point is set.</strong> Zero house edge. At a 3-4-5× table this takes the combined edge to 0.37%</strong>. Always take the maximum you can comfortably cover — the whole point of the flat bet is to earn the right to place this one.</p> 3. One or two come bets with full odds.</strong> A come bet is a pass line bet that starts on the next roll, giving you a second and third working point at the same 0.37%. Two come bets is plenty; three ties up a lot of money on the table when a seven arrives.</p> 4. Nothing else.</strong></p> That is the entire optimal approach. It is not complicated and it is not clever — its virtue is that it never pays more than 0.37%.</p> What the odds bet actually is</h2> Every other bet in a casino pays less than true odds. That gap is the house edge. The odds bet pays exactly true odds</strong>: 2:1 on a point of 4 or 10, 3:2 on 5 or 9, 6:5 on 6 or 8.</p> Casinos offer it because it is not available on its own. You must first make a line bet with a 1.41% edge, and the odds bet only dilutes that edge across a larger wager — it never removes it. The house is trading a lower percentage for a much larger handle.</p> For the player, taking maximum odds is unambiguously correct. It is the only place in a casino where the next dollar you wager is priced fairly.</p> Table rule</th> Pass + max odds</th></tr></thead> No odds offered</td> 1.41%</td></tr> 2×</td> 0.61%</td></tr> 3-4-5×</td> 0.37%</td></tr> 10×</td> 0.18%</td></tr> </tbody></table> A 10× table with a $5 minimum is a better game than a 3-4-5× table with a $25 minimum, if you can cover the odds.</p> What the fun bets cost</h2> Assume a $10 bettor at a table averaging 100 rolls an hour.</p> Approach</th> Effective edge</th> Cost per hour</th></tr></thead> Pass + 3-4-5× odds + two come bets</td> 0.37%</td> ~$4</strong></td></tr> Pass line only, no odds</td> 1.41%</td> ~$14</td></tr> Place 6 and 8</td> 1.52%</td> ~$15</td></tr> Pass + hardways on every number</td> ~6%</td> ~$60</td></tr> Working the proposition box</td> ~12%</td> ~$120</td></tr> </tbody></table> The prop bets are not a small indulgence. Betting $5 on the hardways and a $5 any-seven each roll costs more per hour than most people’s entire craps budget for the night, and it does it quietly, in five-dollar increments that never feel like the moment you lost the money.</p> Things that do not work</h2> Dice control.</strong> The claim is that a practised shooter can influence the dice enough to change the distribution. The house edge on the pass line is 1.41%, so the influence would need to be measurable and consistent across thousands of throws to matter. No controlled study has ever demonstrated it. The dice bounce off a pyramid-studded back wall specifically to make it impossible, and casinos enforce the wall hit for that reason.</p> The “5-Count” and similar shooter-selection methods.</strong> These propose betting only on shooters who survive a few rolls. Each roll is independent; a shooter who has made four passes is exactly as likely to seven-out on the next roll as one who just picked up the dice. What these systems do accomplish is reducing your total action, which reduces your total expected loss — but so does simply betting less.</p> Progression systems.</strong> Martingale, Iron Cross, and every variant. They change the shape of your results, never the expectation. Why</a>.</p> The Iron Cross specifically</strong> — field plus place 5, 6 and 8, covering everything except the 7 — is worth naming because it is widely recommended. It wins on about 70% of rolls, which is its entire appeal, and carries a blended house edge around 2.4%</strong>, roughly six times the pass-plus-odds line. You win constantly and lose steadily.</p> Money management that actually helps</h2> None of this changes the edge. It changes whether you are still playing in an hour.</p> Bring a session amount you are prepared to lose</strong>, and leave the rest elsewhere.</li> Size the flat bet so you can afford full odds.</strong> A $10 flat with $50 odds on a 6 needs a bankroll that treats $60 as one unit, not $10.</li> Take odds down when you want to reduce exposure</strong>, never the flat bet. The flat bet is the expensive part; the odds are free.</li> Colour up and leave on a number you set beforehand.</strong> The table gives you no signal that it is time to go.</li> </ul> The one-sentence version</h2> Bet the pass line, take maximum odds, add one or two come bets with odds, and ignore the middle of the table.</p> Full pricing: craps odds and payouts</a>.</p> Craps Odds and Payouts Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Craps has the widest range of house edges of any casino game — from exactly zero</strong> to 16.67%</strong>, on the same felt, resolved by the same dice.</p> The line bets</h2> Bet</th> Pays</th> Win probability</th> House edge</th></tr></thead> Pass line</td> 1:1</td> 49.29%</td> 1.41%</strong></td></tr> Don’t pass</td> 1:1 (12 pushes)</td> 47.93%</td> 1.36%</strong></td></tr> Come</td> 1:1</td> 49.29%</td> 1.41%</strong></td></tr> Don’t come</td> 1:1 (12 pushes)</td> 47.93%</td> 1.36%</strong></td></tr> </tbody></table> Don’t pass is marginally cheaper than pass. It is also socially awkward, since you win when the table loses — which is the entire reason the 1.41% bet is more popular than the 1.36% one.</p> Free odds — the only zero-edge bet in the casino</h2> Once a point is established you may place an additional bet behind</strong> the line. It pays true odds, with no house margin at all.</p> Point</th> True odds</th> Odds bet pays</th> Probability of making it</th></tr></thead> 4 or 10</td> 2:1</td> 2:1</strong></td> 33.33%</td></tr> 5 or 9</td> 3:2</td> 3:2</strong></td> 40.00%</td></tr> 6 or 8</td> 6:5</td> 6:5</strong></td> 45.45%</td></tr> </tbody></table> Because the odds bet is free, adding it dilutes the edge on the flat bet across a larger total wager:</p> Odds allowed</th> Combined edge, pass + odds</th></tr></thead> No odds</td> 1.41%</td></tr> 1×</td> 0.85%</td></tr> 2×</td> 0.61%</td></tr> 3-4-5×</strong> (most common)</td> 0.37%</strong></td></tr> 5×</td> 0.33%</td></tr> 10×</td> 0.18%</td></tr> 100×</td> 0.02%</td></tr> </tbody></table> A pass line bet with 3-4-5× odds is, at 0.37%, the cheapest wager available in a casino</strong> outside of a positive-count blackjack shoe or a full-pay video poker machine.</p> Place and buy bets</h2> Made at any time, on any point number, by handing chips to the dealer.</p> Bet</th> Pays</th> True odds</th> House edge</th></tr></thead> Place 6 or 8</td> 7:6</td> 6:5</td> 1.52%</strong></td></tr> Place 5 or 9</td> 7:5</td> 3:2</td> 4.00%</strong></td></tr> Place 4 or 10</td> 9:5</td> 2:1</td> 6.67%</strong></td></tr> Buy 4 or 10 (5% commission upfront)</td> 2:1</td> 2:1</td> 4.76%</strong></td></tr> Buy 4 or 10 (commission on win only)</td> 2:1</td> 2:1</td> 1.67%</strong></td></tr> Lay 4 or 10 (commission on win)</td> 1:2</td> 1:2</td> 2.44%</strong></td></tr> Lay 5 or 9 (commission on win)</td> 2:3</td> 2:3</td> 3.23%</strong></td></tr> Lay 6 or 8 (commission on win)</td> 5:6</td> 5:6</td> 4.00%</strong></td></tr> </tbody></table> Place 6 and 8 at 1.52% are respectable. Place 4 and 10 at 6.67% are worse than double-zero roulette. Whether the house takes the buy commission upfront or only on a win is worth 3.09%</strong> — ask, because tables differ and nobody volunteers it.</p> The field</h2> A one-roll bet on 2, 3, 4, 9, 10, 11, 12. Sixteen of thirty-six combinations win, which looks like a good deal until you notice that the twenty losing combinations include the four most common totals.</p> Field pay table</th> House edge</th></tr></thead> 2 pays 2:1, 12 pays 2:1</td> 5.56%</strong></td></tr> 2 pays 2:1, 12 pays 3:1 (or vice versa)</td> 2.78%</strong></td></tr> </tbody></table> Check which version is printed in the box. The difference is a factor of two.</p> Big 6 and Big 8</h2> Bet</th> Pays</th> House edge</th></tr></thead> Big 6 / Big 8</td> 1:1</td> 9.09%</strong></td></tr> Place 6 / Place 8 (same event)</td> 7:6</td> 1.52%</strong></td></tr> </tbody></table> Identical wager, six times the cost, because one pays even money and the other pays 7:6. The Big 6/8 boxes exist for players who do not know they can hand the same chips to the dealer and say “place the eight”. There is no situation in which this bet is correct.</p> Hardways</h2> A hardway wins if the number comes as a pair before it comes any other way, and before a 7.</p> Bet</th> Pays</th> True odds</th> House edge</th></tr></thead> Hard 6 or Hard 8</td> 9:1</td> 10:1</td> 9.09%</strong></td></tr> Hard 4 or Hard 10</td> 7:1</td> 8:1</td> 11.11%</strong></td></tr> </tbody></table> One-roll proposition bets</h2> Resolved on the very next roll. The centre of the table, and the most expensive real estate in the casino.</p> Bet</th> Pays</th> Probability</th> House edge</th></tr></thead> Any craps (2, 3, 12)</td> 7:1</td> 11.11%</td> 11.11%</strong></td></tr> Yo (11)</td> 15:1</td> 5.56%</td> 11.11%</strong></td></tr> Ace deuce (3)</td> 15:1</td> 5.56%</td> 11.11%</strong></td></tr> Snake eyes (2)</td> 30:1</td> 2.78%</td> 13.89%</strong></td></tr> Boxcars (12)</td> 30:1</td> 2.78%</td> 13.89%</strong></td></tr> Horn (2, 3, 11, 12)</td> varies</td> 22.22%</td> 12.50%</strong></td></tr> C&E (craps and eleven)</td> varies</td> 16.67%</td> 11.11%</strong></td></tr> Any seven</strong></td> 4:1</td> 16.67%</td> 16.67%</strong></td></tr> </tbody></table> Any seven</strong> is the worst bet on a standard craps layout and one of the worst in the building. It wins one time in six and pays four. To break even it would need to pay 5:1.</p> Everything, ranked</h2> Bet</th> House edge</th></tr></thead> Free odds</td> 0.00%</strong></td></tr> Pass/come + 3-4-5× odds</td> 0.37%</td></tr> Don’t pass/don’t come</td> 1.36%</td></tr> Pass line / come</td> 1.41%</td></tr> Place 6 or 8</td> 1.52%</td></tr> Buy 4/10, commission on win</td> 1.67%</td></tr> Lay 4 or 10</td> 2.44%</td></tr> Field (12 pays 3:1)</td> 2.78%</td></tr> Place 5 or 9</td> 4.00%</td></tr> Buy 4/10, commission upfront</td> 4.76%</td></tr> Field (12 pays 2:1)</td> 5.56%</td></tr> Place 4 or 10</td> 6.67%</td></tr> Hard 6 or 8</td> 9.09%</td></tr> Big 6 / Big 8</td> 9.09%</td></tr> Hard 4 or 10</td> 11.11%</td></tr> Any craps / Yo / Ace deuce</td> 11.11%</td></tr> Horn</td> 12.50%</td></tr> Snake eyes / Boxcars</td> 13.89%</td></tr> Any seven</strong></td> 16.67%</strong></td></tr> </tbody></table> The distance from top to bottom is a factor of about forty-five. No other casino game asks the player to make that choice.</p> Next: the bets actually worth making</a>.</p> Craps Rules Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Craps looks impenetrable because a busy table has forty bets working at once and its own vocabulary. The underlying game takes about two minutes to learn: someone throws two dice, and a small number of numbers matter.</p> The core sequence</h2> A shooter</strong> rolls two dice. The round has two phases.</p> Come-out roll</h3> The first roll of a round. The puck on the table reads OFF.</p> Roll</th> Result</th></tr></thead> 7 or 11</strong> — a natural</em></td> Pass line wins</strong>, don’t pass loses</td></tr> 2, 3 or 12</strong> — craps</em></td> Pass line loses</strong>. Don’t pass wins on 2 and 3; 12 is a push</strong></td></tr> 4, 5, 6, 8, 9, 10</strong></td> That number becomes the point</strong>; the round continues</td></tr> </tbody></table> The 12 pushing on don’t pass is not decoration — it is exactly what stops the don’t pass bet from being a positive-expectation bet for the player.</p> Point phase</h3> The puck flips to ON and moves to the point number. The shooter now rolls repeatedly until one of two things happens:</p> The point repeats</strong> → pass line wins, round ends, same shooter starts a new come-out</li> A 7 appears</strong> → seven-out</em>. Pass line loses, most bets are collected, dice pass to the next player clockwise</li> </ul> Nothing else ends the round. A shooter may roll for two minutes or forty.</p> Why the pass line loses more than it wins</h2> There are 36 combinations of two dice. The distribution is the whole game:</p> Total</th> Ways</th> Probability</th></tr></thead> 2</td> 1</td> 2.78%</td></tr> 3</td> 2</td> 5.56%</td></tr> 4</td> 3</td> 8.33%</td></tr> 5</td> 4</td> 11.11%</td></tr> 6</td> 5</td> 13.89%</td></tr> 7</strong></td> 6</strong></td> 16.67%</strong></td></tr> 8</td> 5</td> 13.89%</td></tr> 9</td> 4</td> 11.11%</td></tr> 10</td> 3</td> 8.33%</td></tr> 11</td> 2</td> 5.56%</td></tr> 12</td> 1</td> 2.78%</td></tr> </tbody></table> Seven is the most common roll. That is why it wins on the come-out and kills you afterwards, and why every point number is harder to hit than the seven that ends it. A point of 6 has five ways; the seven has six. You are the underdog on every point, always.</p> Working it through: the pass line wins 244 times in 495</strong>, or 49.29%, for a house edge of 1.41%</strong>.</p> The layout</h2> Both ends of the table are identical mirror images — two dealers work two halves of the same crowd. The middle belongs to the stickman.</p> Along the outer edge — Pass Line.</strong> The long bar running the length of your side. Bet before the come-out.</p> Just inside it — Don’t Pass Bar.</strong> Marked “Bar 12” or “Bar 6-6”, denoting the push.</p> Behind your pass line bet — the Odds.</strong> No printed box. You place chips directly behind your flat bet, and it is the only bet on the table with zero</strong> house edge.</p> COME and DON’T COME.</strong> Large boxes in the middle of your section. Identical to pass/don’t pass, but placed after</em> a point is established, creating your own personal point.</p> The point boxes — 4 5 SIX 8 NINE 10.</strong> Along the top. The puck sits here. Place bets are made by handing chips to the dealer and naming the number.</p> The FIELD.</strong> A wide box in front of you covering 2, 3, 4, 9, 10, 11, 12. A one-roll bet. Self-service — you place it yourself.</p> BIG 6 / BIG 8.</strong> Corner boxes. Ignore them entirely: they pay even money for a bet that should pay 7:6, giving up 9.09% against the 1.52% of the equivalent place bet.</p> The centre — proposition bets.</strong> Hardways and one-roll bets, controlled by the stickman, in the loudest part of the table with the largest edges. Between 9% and 17%.</p> The geography is not accidental. The cheapest bets are at the edges where you place them yourself; the most expensive are in the middle where someone shouts about them.</p> A round, start to finish</h2> Buy in — place cash on the felt, never in the dealer’s hand. Say nothing; the dealer will count it and slide chips back.</li> Place a pass line</strong> bet before the come-out.</li> Shooter rolls 9</strong>. The puck flips ON to the 9.</li> Place odds</strong> behind the pass line — up to 4× the flat bet on a 9 in a 3-4-5× game.</li> Shooter rolls 4, 8, 6, 11 — nothing happens to your bets.</li> Shooter rolls 9</strong>. Pass line pays even money; the odds pay 3:2</strong>. Round ends.</li> Same shooter begins a new come-out.</li> </ol> That is craps. Everything else is optional.</p> Etiquette</h2> Keep your hands out of the landing area.</strong> Dice hitting a hand is the one thing that genuinely annoys a craps table.</li> Both dice must hit the far wall</strong> or the roll may be waved off.</li> Do not say “seven”</strong> while a point is on. Nobody believes it matters; everybody minds.</li> Late bets</strong> — if the stickman has pushed the dice out, wait for the next roll.</li> Buy in and colour up between rolls, not during.</li> </ul> Next</h2> Craps odds and payouts</a> — every bet on the layout, priced</li> The bets worth making</a> — the short list</li> </ul> Keno Odds and Payouts Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Keno is the most expensive game in the casino, typically by a factor of twenty to fifty against the table games. Everything below is intended to make that concrete rather than to talk you out of it — a slow game with a lottery-shaped payoff is a legitimate thing to want, and it is worth knowing the price.</p> How the game works</h2> Eighty numbers. You choose between 1 and 20 of them — your spots</strong> or picks</strong>. Twenty balls are drawn. You are paid according to how many of your picks appear among the twenty drawn, which is your catch</strong>.</p> The probability of catching exactly k</em> of your n</em> picks is:</p> P(k) = C(20,k) × C(60,n−k) / C(80,n)</code></p> Everything on this page comes out of that formula. There is nothing else to the game.</p> Odds of catching every spot</h2> Ticket</th> Outcome</th> Odds</th> Probability</th></tr></thead> Pick 1</td> catch all 1</td> 1 in 4</td> 25.000000%</td></tr> Pick 2</td> catch all 2</td> 1 in 17</td> 6.012658%</td></tr> Pick 3</td> catch all 3</td> 1 in 72</td> 1.387537%</td></tr> Pick 4</td> catch all 4</td> 1 in 326</td> 0.306339%</td></tr> Pick 5</td> catch all 5</td> 1 in 1,551</td> 0.064492%</td></tr> Pick 6</td> catch all 6</td> 1 in 7,753</td> 0.012898%</td></tr> Pick 7</td> catch all 7</td> 1 in 40,979</td> 0.002440%</td></tr> Pick 8</td> catch all 8</td> 1 in 230,115</td> 0.000435%</td></tr> Pick 9</td> catch all 9</td> 1 in 1,380,688</td> 0.000072%</td></tr> Pick 10</td> catch all 10</td> 1 in 8,911,711</td> 0.000011%</td></tr> </tbody></table> The jump from pick 6 to pick 10 is a factor of about 1,150. Pay tables do not increase by anything close to that.</p> Full distribution for an 8-spot ticket</h2> The most commonly played ticket, in full:</p> Catch</th> Probability</th> Odds</th></tr></thead> 0</td> 8.8266%</td> 1 in 11.3</td></tr> 1</td> 26.6464%</td> 1 in 3.8</td></tr> 2</td> 32.8146%</td> 1 in 3.0</td></tr> 3</td> 21.4786%</td> 1 in 4.7</td></tr> 4</td> 8.1504%</td> 1 in 12.3</td></tr> 5</td> 1.8303%</td> 1 in 54.6</td></tr> 6</td> 0.2367%</td> 1 in 422.5</td></tr> 7</td> 0.0160%</td> 1 in 6,232.3</td></tr> 8</td> 0.0004%</td> 1 in 230,114.6</td></tr> </tbody></table> Note that a typical 8-spot pay table pays nothing at all for catching 0, 1, 2, 3 or 4 — which together account for over 95%</strong> of tickets. Most keno tickets are decided the moment the fifth ball fails to match.</p> Why the edge is 25-30%</h2> Take a representative 8-spot pay table paying per $1:</p> Catch</th> Pays</th> Probability</th> Contribution</th></tr></thead> 5</td> $9</td> 1.83%</td> $0.165</td></tr> 6</td> $90</td> 0.237%</td> $0.213</td></tr> 7</td> $1,500</td> 0.0160%</td> $0.240</td></tr> 8</td> $25,000</td> 0.000435%</td> $0.109</td></tr> Total return</strong></td> </td> </td> $0.727</strong></td></tr> </tbody></table> Return to player 72.7%</strong>, house edge 27.3%</strong>.</p> Compare that with the rest of the floor:</p> Game</th> House edge</th> Cost per $100 wagered</th></tr></thead> Blackjack, basic strategy</td> 0.43%</td> $0.43</td></tr> Craps, pass + odds</td> 0.37%</td> $0.37</td></tr> Baccarat, banker</td> 1.06%</td> $1.06</td></tr> Roulette, American</td> 5.26%</td> $5.26</td></tr> Slots, typical</td> 5–10%</td> $5–10</td></tr> Keno</strong></td> 25–30%</strong></td> $25–30</strong></td></tr> </tbody></table> A dollar wagered on keno costs roughly sixty times</strong> what a dollar wagered on blackjack costs.</p> Why it does not feel that expensive</h2> Two structural reasons, both worth naming.</p> It is slow.</strong> A live keno lounge draws every four or five minutes. At $1 a ticket, 27% house edge and twelve games an hour, the expected cost is about $3.24 an hour</strong> — less than a $10 blackjack bettor loses at 0.43%, because they are wagering $600 an hour and you are wagering $12. Keno is astronomically expensive per dollar and cheap per hour, as long as the stake stays small.</p> Video keno breaks that.</strong> A machine plays at slot-machine speed — hundreds of games an hour. At $1 a game and 300 games an hour, the same 27% edge costs $81 an hour</strong>. Same game, same pay table, twenty-five times the cost. Speed is the variable that matters.</p> Reading a pay table</h2> Pay tables differ substantially between casinos, and the difference is real money.</p> Compare the same pick size across venues.</strong> An 8-spot table paying 90 for a 6-catch and one paying 75 are not close.</li> Look at the mid-range catches, not the top prize.</strong> For an 8-spot ticket, catching 5 and 6 contributes more to the return than catching 8 does. Casinos advertise the top prize because it is the one nobody collects.</li> Way tickets and combination tickets</strong> split one wager across several groups. They change the distribution of outcomes, never the edge — each component is priced off the same table.</li> Progressive keno</strong> occasionally reaches a jackpot large enough to push the return over 100%. This is rare, published, and immediately crowded.</li> </ul> What does not work</h2> Hot and cold numbers.</strong> Every ball is equally likely on every draw. The board showing recent frequencies is a record, not a forecast.</li> Playing the same numbers every game.</strong> Identical expectation to changing them.</li> Consecutive numbers, birthdays, patterns on the card.</strong> No effect. The draw does not know what your card looks like.</li> Picking 20 spots.</strong> The pay tables for large picks are among the worst on the board, and catching zero of twenty is a paying outcome on some of them precisely because it is nearly as unlikely as catching them all.</li> </ul> If you play</h2> Keep the stake small and the pace slow. Live keno at $1 a game is genuinely inexpensive entertainment per hour. Video keno at machine speed is one of the fastest ways to lose money available in a casino, and it looks identical on the screen.</p> See also: house edge across every game</a>.</p> Methodology Unknown — Sat, 05 Sep 2026 00:00:00 +0000 House edge, defined</h2> The house edge is the expected loss per unit wagered</strong>, expressed as a percentage:</p> edge = −(expected value of the bet) / (amount wagered)</code></p> A pass line bet in craps wins 244 times out of 495 resolutions. Expected value per $1:</p> (244/495 × +1) + (251/495 × −1) = −7/495 = −0.01414</code></p> So the house edge is 1.41%</strong>. Every figure on this site is built the same way — enumerate the outcomes, weight by probability, sum.</p> Edge per bet vs edge per resolution</h2> These differ, and the difference is routinely abused in marketing.</p> A craps place bet on 6 is resolved on average every 3.27 rolls. A pass line bet with odds behind it ties up more money than the flat bet alone. Quoting “edge per roll” instead of “edge per resolved bet” makes a bad bet look better. Unless a page says otherwise, every figure here is per unit wagered on that bet, per resolution.</strong> Where the distinction matters we give both.</p> What “element of risk” means</h2> For bets where you may be required to wager more after the initial bet — Three Card Poker, Caribbean Stud, Let It Ride — two figures exist:</p> House edge</strong>: expected loss ÷ the original ante.</li> Element of risk</strong>: expected loss ÷ the average total amount actually at risk.</li> </ul> Three Card Poker’s ante-play is 3.37% by house edge and 2.01% by element of risk. Neither is wrong; they answer different questions. We label which one we are quoting.</p> Blackjack figures</h2> Blackjack cannot be solved in closed form because the composition of the remaining deck changes as cards are dealt. Published basic-strategy edges come from combinatorial analysis or large simulations. Unless stated otherwise, blackjack numbers here assume:</p> 6 decks, dealt from a shoe, reshuffled at the cut card</li> Dealer stands</strong> on soft 17 (S17)</li> Doubling permitted on any two cards</li> Double after split permitted (DAS)</li> Split to four hands; aces split once, one card each</li> No surrender</li> Blackjack pays 3:2</strong></li> Player uses correct basic strategy, no card counting</li> </ul> That game is about 0.43%</strong>. The rule-variation table</a> gives the adjustment for every common deviation.</p> Video poker figures</h2> Video poker is fully solvable: 2,598,960 possible deals, 32 discard choices each, one optimal play per hand. Published return figures assume optimal</strong> play of that specific pay table. Expert human play typically gives up 0.1–0.5% against the theoretical optimum.</p> Slot figures</h2> We publish slot RTP only where a manufacturer or regulator has published it. Individual slot titles are frequently shipped in multiple RTP configurations, and the operator chooses which one to run. A number found on a review site is not evidence of the setting on the machine in front of you.</p> Rounding</h2> Percentages are given to two decimal places where the underlying figure is exact, and to one where it depends on rule assumptions. Payout odds are given as they appear on the felt (“35:1”, “7:6”) rather than converted, since that is what you will read at the table.</p> Sources</h2> Primary derivations are our own, done from first principles and checked against published combinatorial analyses. Where a figure originates in a standard reference — Griffin’s Theory of Blackjack</em>, published regulatory return reports, manufacturer pay tables — it is cited on the page that uses it.</p> Poker Hand Rankings Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Every poker hand is exactly five cards, and the ranking follows one principle: the rarer the hand, the higher it beats. Learn the probabilities and the order stops being a list to memorise and becomes something you can derive.</p> The ten hands</h2> Best to worst, with the probability of being dealt it in five cards from a 52-card deck:</p> Rank</th> Hand</th> Example</th> Combinations</th> Probability</th></tr></thead> 1</td> Royal flush</td> A♠ K♠ Q♠ J♠ 10♠</td> 4</td> 0.000154%</td></tr> 2</td> Straight flush</td> 9♥ 8♥ 7♥ 6♥ 5♥</td> 36</td> 0.00139%</td></tr> 3</td> Four of a kind</td> Q Q Q Q 7</td> 624</td> 0.0240%</td></tr> 4</td> Full house</td> K K K 4 4</td> 3,744</td> 0.144%</td></tr> 5</td> Flush</td> A♣ J♣ 8♣ 5♣ 2♣</td> 5,108</td> 0.197%</td></tr> 6</td> Straight</td> 8 7 6 5 4</td> 10,200</td> 0.392%</td></tr> 7</td> Three of a kind</td> 9 9 9 K 2</td> 54,912</td> 2.11%</td></tr> 8</td> Two pair</td> J J 5 5 A</td> 123,552</td> 4.75%</td></tr> 9</td> One pair</td> 10 10 A 7 3</td> 1,098,240</td> 42.3%</td></tr> 10</td> High card</td> A Q 9 6 3</td> 1,302,540</td> 50.1%</td></tr> </td> Total</em></td> </td> 2,598,960</em></td> 100%</em></td></tr> </tbody></table> Half of all five-card hands are nothing but a high card. Fewer than one in a thousand is a flush or better. That distribution is the entire reason the ranking looks the way it does.</p> Why flush beats straight</h2> This is the ranking most often questioned, and the answer is just the table above: there are 5,108</strong> possible flushes and 10,200</strong> possible straights. The straight is nearly twice as common, so it ranks lower.</p> The counterintuitive part is that a straight — five cards in sequence of any suit — feels</em> harder to make than five cards of one suit. It is not. There are only ten possible straight “shapes” (A-5 through 10-A) but each can be made in many suit combinations, while a flush, though it fixes the suit, allows any five of the thirteen ranks in that suit. The arithmetic comes out in the straight’s favour, so the straight is the weaker hand.</p> Note the reversal in three-card poker</a>: with only three cards, a straight becomes rarer than a flush, and the ranking flips. The principle — rarer beats commoner — is constant; the probabilities change with the number of cards.</p> Breaking ties</h2> When two players hold the same category, these rules decide the pot.</p> High card and pairs — compare kickers in order.</strong> A pair of tens with an ace kicker beats a pair of tens with a king kicker. If the first kicker ties, compare the next, and so on. All five cards can matter.</p> Two pair — highest pair first, then second pair, then kicker.</strong> Kings-and-fours beats queens-and-jacks, because the top pair is compared first. Only if both pairs match does the fifth card decide.</p> Straights and flushes — highest card wins.</strong> A straight to the queen beats a straight to the jack. A flush is compared card by card from the top: A-K-8-5-2 beats A-K-7-6-3.</p> Full house — three of a kind first.</strong> Kings-full-of-twos beats queens-full-of-aces, because the trips are compared before the pair.</p> The ace is both high and low in straights.</strong> A-2-3-4-5 is the lowest straight (the “wheel”), where the ace plays low. A-K-Q-J-10 is the highest. But A-2-3-4-5 does not</strong> wrap — there is no Q-K-A-2-3.</p> Hands that tie</h2> Poker hands can genuinely tie, and the pot is split. This happens most often when the best five-card hand is entirely on the board in community-card games, or when two players hold the same pair with identical kickers. Suits never break the tie — two players with the same flush ranks split the pot.</p> The rankings do not change by game</h2> Texas Hold’em, Omaha, Seven-Card Stud and Five-Card Draw all use this same ranking for the best five-card hand. What differs is how you get to five cards — two hole cards plus five community cards in Hold’em, your best five of seven in Stud — not what beats what at showdown.</p> The exceptions are “lowball” variants (Razz, 2-7 Triple Draw) where the worst</em> hand wins, and “high-low split” games where the pot divides between the best and worst hands. Those invert or split the ranking deliberately; everything standard uses the table above.</p> Next: Texas Hold’em rules</a> · pot odds</a></p> Pot Odds and How to Calculate Them Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Pot odds are the arithmetic that make poker a game of decisions rather than hope. They compare what a call costs against what the pot pays, and set that against the chance your hand improves. When the payoff beats the odds, you call; when it does not, you fold. That is the whole mechanism.</p> Step one: count your outs</h2> An out</strong> is any card left in the deck that makes your hand a winner. Count them before you do anything else.</p> Draw</th> Outs</th> Which cards</th></tr></thead> Flush draw</td> 9</td> The nine remaining cards of your suit</td></tr> Open-ended straight draw</td> 8</td> Two ranks, four of each</td></tr> Gutshot (inside) straight draw</td> 4</td> The one rank that fills the gap</td></tr> Two overcards</td> 6</td> Three of each of your two ranks</td></tr> Flush draw + open-ended straight</td> 15</td> Combined, minus overlap</td></tr> Set to full house or quads</td> 7</td> Three to pair the board, one to make quads (approx)</td></tr> </tbody></table> Count honestly. A flush out that also pairs the board might make someone a full house — that out is “tainted” and should be discounted. Overcounting outs is the most common error in this entire subject.</p> Step two: convert outs to a percentage</h2> Exact, if you like precision. With two cards to come (on the flop) and 47 unseen cards:</p> P(hit by river) = 1 − (47−outs)/47 × (46−outs)/46</code></p> For a nine-out flush draw that is 35.0%</strong>.</p> In practice, use the rule of 4 and 2</strong>:</p> On the flop</strong> (two cards to come): outs × 4</li> On the turn</strong> (one card to come): outs × 2</li> </ul> Nine outs × 4 = 36%, against the exact 35%. Close enough for a decision made in ten seconds at the table. The shortcut drifts high for large out counts — for 15+ outs, subtract a few points — but for the common draws it is accurate.</p> Outs</th> Flop (×4)</th> Exact flop</th> Turn (×2)</th> Exact turn</th></tr></thead> 4 (gutshot)</td> 16%</td> 16.5%</td> 8%</td> 8.7%</td></tr> 8 (open-ender)</td> 32%</td> 31.5%</td> 16%</td> 17.4%</td></tr> 9 (flush)</td> 36%</td> 35.0%</td> 18%</td> 19.6%</td></tr> 15 (combo)</td> 60%</td> 54.1%</td> 30%</td> 32.6%</td></tr> </tbody></table> Step three: compare to the pot odds</h2> The pot odds are the price the pot is offering. If there is $80 in the pot and you must call $20:</p> pot odds = call / (pot + call) = 20 / (80 + 20) = 20%</code></p> You are risking $20 to win $100. You need to win more than 20%</strong> of the time for the call to show a profit.</p> Now put the two numbers together:</p> Call when your chance of hitting exceeds the pot-odds percentage.</strong></p> </blockquote> With a 35% flush draw and a 20% break-even, you call — comfortably. With a 16% gutshot and the same 20% pot odds, you fold, because you will complete the draw less often than the pot requires.</p> A full example</h2> Turn card is out. The board shows Q♠ 9♠ 4♦ 2♥. You hold A♠ 7♠ — the nut flush draw, nine outs, one card to come. The pot is $120 and your opponent bets $30.</p> Your equity:</strong> 9 outs × 2 = ~18% (exact: 19.6%).</li> Pot odds:</strong> you call $30 to win $150, so 30/180 = 16.7%</strong> break-even.</li> Decision:</strong> 18% > 16.7%, so on pure pot odds this is a thin call — and that is before implied odds.</li> </ul> Implied odds: the money not yet in the pot</h2> Pure pot odds ignore future betting. Implied odds</strong> account for what you expect to win on later streets when you hit.</p> In the example above, if your flush completes on the river, your opponent may well pay off another bet — they cannot see your cards, and a completed flush is not always obvious. If you expect to extract another $40 when you hit, your effective pot is larger, and a call that was marginal on pot odds alone becomes clearly correct.</p> Implied odds justify calling small bets to draw at hands that win big pots — the classic case being a set-mining call: calling a raise pre-flop with a small pair, hoping to flop three of a kind (about 11.8%, or roughly 1 in 8.5) and win a large pot from an opponent holding an overpair. The immediate pot odds never justify it; the implied odds sometimes do.</p> Reverse implied odds</strong> are the mirror danger: the money you lose when you hit a hand that is second-best. Drawing to a low flush or the low end of a straight, you can complete your draw and still pay off a better one. Discount aggressive draws accordingly.</p> What the math does not decide</h2> Pot odds tell you whether a call is profitable against a random continuation</strong>. They do not tell you:</p> Whether your opponent is bluffing, value-betting, or trapping — which changes how often you are already beaten.</li> Whether your outs are clean — some cards complete your draw and someone else’s better one.</li> Whether folding a marginal call preserves chips for a spot with a bigger edge.</li> </ul> Pot odds are the floor of correct poker, not the ceiling. Get them right and you stop making the losing calls that pure hope produces; the rest of the game is reading the situation the math cannot see.</p> Next: poker hand rankings</a> · Texas Hold’em rules</a></p> Texas Hold'em Rules Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Texas Hold’em is the poker game in almost every casino poker room and on television. Two private cards, five shared cards, four rounds of betting. The rules take ten minutes; the game takes considerably longer.</p> The table and the button</h2> Each hand has a dealer button</strong> — a disc that marks who is nominally the dealer. In a casino a house dealer deals every hand, but the button still rotates one seat clockwise each hand, because it defines the betting order and who posts the blinds.</p> The two players immediately clockwise of the button post forced bets before any cards are dealt:</p> Small blind</strong> — first seat left of the button, typically half the minimum bet</li> Big blind</strong> — next seat, the full minimum bet</li> </ul> The blinds are live bets that seed the pot and guarantee there is always something to play for.</p> The four betting rounds</h2> 1. Pre-flop.</strong> Each player is dealt two hole cards face down. Betting starts with the player left of the big blind (“under the gun”) and moves clockwise. Each player folds, calls the big blind, or raises. The big blind acts last and may check if no one raised.</p> 2. The flop.</strong> Three community cards are dealt face up. A new round of betting begins with the first active player left of the button. From here on, players may check if no bet is in front of them.</p> 3. The turn.</strong> A fourth community card. Another betting round.</p> 4. The river.</strong> The fifth and final community card. The last betting round.</p> Showdown.</strong> If two or more players remain after the river, cards are revealed and the best five-card hand wins. The last player to bet or raise shows first; if everyone checked, the first active player left of the button shows first.</p> Making your hand</h2> Your hand is the best five cards</strong> from the seven available — your two hole cards plus the five on the board. You may use two, one, or none of your hole cards:</p> Two hole cards</strong>: you hold A♠ K♠, board comes Q♠ J♠ 4♥ — you have an ace-high flush draw and a straight draw using both cards.</li> One hole card</strong>: you hold A♦ 7♣, board is K♦ Q♦ J♦ 10♦ 2♠ — your A♦ completes a diamond flush using one card.</li> Zero hole cards</strong> (“playing the board”): the board is 10-J-Q-K-A of mixed suits — everyone still in has a straight and the pot splits, unless someone holds a card that makes it better.</li> </ul> Position is the hidden rule</h2> Nothing in the printed rules says position matters, but it is the single largest structural edge in the game. Acting later</strong> in a betting round means you see what everyone else does before you decide. The button acts last on every round after the flop, which is why hands played from the button are worth far more than the identical hands played from the blinds.</p> This is why “position” appears constantly in poker strategy and why the same two cards can be a raise on the button and a fold under the gun.</p> Betting structures</h2> No-Limit</strong> — you can bet any amount up to your entire stack at any time. The televised, tournament-standard form. A single bet can be for everything.</li> Limit</strong> — bets and raises are fixed increments. The turn and river bets are double the flop bet. Lower variance, more about incremental value.</li> Pot-Limit</strong> — the maximum bet is the current size of the pot. Common in Omaha, rare in Hold’em.</li> </ul> The hand mechanics are identical across all three; only the sizing rules differ.</p> The rake</h2> The house does not play, so it takes a rake</strong> — typically 5% of the pot up to a capped maximum, or a time charge in bigger games. This is how the room makes money, and it is the figure a winning player must beat. In a small-stakes cash game the rake is often the difference between a marginally winning player and a losing one. It is the closest thing Hold’em has to a house edge, and unlike a house edge it can be overcome — you just have to beat the other players by more than the room takes.</p> Rules beginners trip over</h2> A raise must be at least the size of the previous raise.</strong> You cannot min-raise on top of a big bet unless it meets the minimum increment.</li> Verbal declarations are binding.</strong> Say “raise” in a casino and you are committed to raising, even before your chips are in.</li> A single chip placed without announcement is a call</strong>, not a raise, if it exceeds the bet — so announce raises.</li> Cards must stay on the table and visible.</strong> Protecting your hand by removing it from view gets it killed.</li> Playing the board</strong> means the best you can do is tie; you never win a pot outright with a hand no better than the community cards.</li> </ul> Next: poker hand rankings</a> · pot odds and equity</a></p> Responsible gambling Unknown — Sat, 05 Sep 2026 00:00:00 +0000 This site explains how casino games work. That explanation is incomplete without the part below.</p> The arithmetic does not have a good ending</h2> Every game described on this site has a negative expected value. Correct strategy reduces the rate of loss; it does not reverse the sign. There is no bet, sequence of bets, staking plan, or bankroll size that makes a negative-expectation game profitable over time. Systems that appear to work — Martingale</a> and its relatives — work by trading many small wins for rare catastrophic losses, and they lose money at exactly the same rate per unit wagered as flat betting.</p> Concretely: at 1% house edge, betting $25 per hand at 60 hands an hour, the expected cost is $15 an hour</strong>. At 5.26% — an American roulette wheel at the same pace — it is $79 an hour</strong>. This is the price of the entertainment. If it is worth that to you, it is worth it. If you are betting to recover money, the arithmetic is working against you every hour.</p> Signs that it has stopped being entertainment</h2> Betting more than you decided to, or more than you can lose without it mattering</li> Returning to win back losses (“chasing”)</li> Gambling with money set aside for something else, or with borrowed money</li> Lying about the amount of time or money involved</li> Restlessness or irritability when trying to cut back</li> Gambling to escape stress, low mood, or anxiety</li> Someone close to you has raised it, more than once</li> </ul> Any one of these is worth taking seriously. Several together is a pattern.</p> Practical limits that work</h2> Set them before you play, not during. The decision made in advance is a different decision from the one made at the table.</p> A loss limit in money, not time.</strong> Decide the number before you start; leave when you hit it.</li> A session length.</strong> Fatigue degrades strategy first and judgement second.</li> Separate funds.</strong> A dedicated account or cash amount, never the card you pay rent with.</li> Deposit limits at the operator level.</strong> Most licensed operators are required to offer them, and they take effect immediately while increases have a cooling-off delay. Use that asymmetry.</li> Self-exclusion.</strong> If limits are not holding, exclusion is the tool that does hold.</li> </ul> Where to get help</h2> United States</strong> — National Council on Problem Gambling: call or text 1-800-GAMBLER</strong>, 24/7, free and confidential. ncpgambling.org</a></p> United Kingdom</strong> — National Gambling Helpline: 0808 8020 133</strong>. begambleaware.org</a></p> Canada</strong> — provincial helplines; the Ontario line is 1-866-531-2600</strong>.</p> Australia</strong> — Gambling Help Online: 1800 858 858</strong>. gamblinghelponline.org.au</a></p> Gamblers Anonymous</strong> — international meeting directory at gamblersanonymous.org</a></p> Help is free. Nobody legitimate charges a fee to help you stop gambling, and nobody legitimate charges a fee to recover money you have lost.</p> American vs European Roulette Unknown — Sat, 05 Sep 2026 00:00:00 +0000 The two wheels differ by one pocket. That pocket doubles the price of the game.</p> </th> European</th> American</th></tr></thead> Pockets</td> 37</td> 38</td></tr> Green</td> 0</td> 0 and 00</td></tr> House edge</td> 2.70%</strong></td> 5.26%</strong></td></tr> Five-number bet</td> Does not exist</td> 7.89%</td></tr> La partage / en prison</td> Common</td> Rare</td></tr> </tbody></table> Why one pocket costs so much</h2> Both wheels pay 35:1 on a single number. Both are priced as if the wheel had 36 pockets.</p> European: 37 pockets, 36 priced → the house keeps 1/37</code> = 2.70%</strong></li> American: 38 pockets, 36 priced → the house keeps 2/38</code> = 5.26%</strong></li> </ul> Adding the second green pocket does not increase the edge by a little. It doubles it, because the edge is</em> the unpriced pockets, and there are now two of them.</p> The wheel layouts</h2> Neither wheel runs 1 to 36 in order. Both alternate red and black, and both are arranged so that high and low, odd and even are distributed around the rim — the point being that no physical sector of the wheel favours any category of bet.</p> European wheel</strong>, clockwise from zero:</p> 0, 32, 15, 19, 4, 21, 2, 25, 17, 34, 6, 27, 13, 36, 11, 30, 8, 23, </span>10, 5, 24, 16, 33, 1, 20, 14, 31, 9, 22, 18, 29, 7, 28, 12, 35, 3, 26 </span></code></pre> The European arrangement is the more carefully balanced of the two: any two adjacent numbers sum to a near-constant, and the halves either side of the zero are closely matched for high, low, odd and even.</p> American wheel</strong> places 0 and 00 opposite each other and pairs consecutive numbers directly across the wheel — 1 opposite 2, 3 opposite 4, and so on.</p> The layouts matter for exactly one thing: sector betting on a physically biased or predictably released wheel. On a modern, maintained, regularly rotated wheel there is no bias to exploit, and casinos track outcomes specifically to detect one before you do.</p> The catch: minimums</h2> The percentage is only half the cost. Expected loss is edge × amount wagered, and single-zero tables usually carry higher minimums.</p> Table</th> Edge</th> $/spin</th> 40 spins</th> Cost/hour</th></tr></thead> American, $5 minimum</td> 5.26%</td> $5</td> $200</td> $10.52</strong></td></tr> European, $25 minimum</td> 2.70%</td> $25</td> $1,000</td> $27.00</strong></td></tr> European, $5 minimum</td> 2.70%</td> $5</td> $200</td> $5.40</strong></td></tr> French + la partage, $10 min</td> 1.35%</td> $10</td> $400</td> $5.40</strong></td></tr> </tbody></table> The $25 European table has the better percentage and costs two and a half times more per hour than the $5 American one. Percentage is the right way to compare bets; money per hour</strong> is the right way to compare tables.</p> Ranking</h2> French, single zero with la partage or en prison</strong> — 1.35% on even-money bets</li> European, single zero</strong> — 2.70%</li> American, double zero</strong> — 5.26%</li> American five-number bet</strong> — 7.89%, never correct</li> </ol> If your floor has both wheels at a minimum you can afford, the choice is not close. If the single-zero table is five times the minimum, take the American wheel and bet less.</p> Full pricing: roulette payouts and odds</a>.</p> Roulette Payouts and Odds Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Roulette is the most transparent game in the casino. The wheel has 37 or 38 pockets. The payouts are computed as though it had 36. The difference is the house edge, and it is the same on almost every bet you can make.</p> Inside bets</h2> Bet</th> Numbers</th> Pays</th> European win %</th> American win %</th></tr></thead> Straight up</td> 1</td> 35:1</td> 2.70%</td> 2.63%</td></tr> Split</td> 2</td> 17:1</td> 5.41%</td> 5.26%</td></tr> Street</td> 3</td> 11:1</td> 8.11%</td> 7.89%</td></tr> Corner</td> 4</td> 8:1</td> 10.81%</td> 10.53%</td></tr> Six line</td> 6</td> 5:1</td> 16.22%</td> 15.79%</td></tr> Five number</strong> (0, 00, 1, 2, 3)</td> 5</td> 6:1</td> —</td> 13.16%</td></tr> </tbody></table> Outside bets</h2> Bet</th> Numbers</th> Pays</th> European win %</th> American win %</th></tr></thead> Column</td> 12</td> 2:1</td> 32.43%</td> 31.58%</td></tr> Dozen</td> 12</td> 2:1</td> 32.43%</td> 31.58%</td></tr> Red / Black</td> 18</td> 1:1</td> 48.65%</td> 47.37%</td></tr> Odd / Even</td> 18</td> 1:1</td> 48.65%</td> 47.37%</td></tr> High / Low</td> 18</td> 1:1</td> 48.65%</td> 47.37%</td></tr> </tbody></table> House edge</h2> Wheel</th> Pockets</th> Edge on every bet</th> Exception</th></tr></thead> European (single zero)</td> 37</td> 2.70%</strong></td> —</td></tr> European with la partage / en prison</td> 37</td> 1.35%</strong> on even-money bets</td> Inside bets stay 2.70%</td></tr> American (double zero)</td> 38</td> 5.26%</strong></td> Five-number bet: 7.89%</strong></td></tr> </tbody></table> Where 5.26% comes from</h3> Bet $1 straight up on an American wheel. One pocket in 38 wins and pays 35:1:</p> EV = (1/38 × +35) + (37/38 × −1) = 35/38 − 37/38 = −2/38 = −5.263%</code></p> Now bet $1 on red. Eighteen pockets win:</p> EV = (18/38 × +1) + (20/38 × −1) = 18/38 − 20/38 = −2/38 = −5.263%</code></p> The same number, from a completely different bet. This is not a coincidence — it is the design. Every payout on the layout is set as if 36 pockets existed, so every bet gives up exactly the two extra pockets.</p> On a single-zero wheel the arithmetic is −1/37 = −2.70%</code>, again for every bet.</p> The one exception</h3> The five-number bet on 0, 00, 1, 2 and 3 pays 6:1:</p> EV = (5/38 × +6) + (33/38 × −1) = 30/38 − 33/38 = −3/38 = −7.895%</code></p> Half again as expensive as everything else on the table, because five pockets cannot be priced cleanly in a system built on 36. It exists on American layouts only. Never take it.</p> What this means for systems</h2> Because the edge is a property of each individual bet, no arrangement of bets changes it. Cover 35 of 37 numbers on a European wheel: you win 94.6% of spins, lose 5.4%, and give up exactly 2.70% of everything staked. Bet one number: you win 2.7% of spins and give up exactly 2.70%.</p> Expected loss is (amount wagered) × (edge)</code> and nothing else. Progressions, patterns, “due” numbers, hot dealers, and sector betting all change how much you wager and how the results are distributed. None of them touch the multiplier.</p> The wheel has no memory. After ten reds in a row, the chance of red on the eleventh spin is 18/37 — the same as it was on the first spin, and on every spin since. The belief otherwise is common enough to have a name: the gambler’s fallacy</a>.</p> La partage and en prison</h2> The only rules that genuinely reduce the roulette house edge. Both apply to even-money bets when the ball lands in zero:</p> La partage</strong> — you lose half your stake immediately.</li> En prison</strong> — your bet is held for one more spin; if it wins, you get the stake back with no winnings.</li> </ul> Either takes even-money bets from 2.70% to 1.35%</strong>, which puts roulette in the same territory as baccarat. Inside bets are unaffected.</p> These rules are standard in French roulette and common in European high-limit rooms. They are rare on standard American floors, and worth seeking out: a single-zero wheel with la partage is half the cost of a single-zero wheel without it, and a quarter the cost of the double-zero wheel beside it.</p> Cost per hour</h2> At about 40 spins an hour, betting $10 per spin:</p> Wheel</th> Edge</th> Wagered/hr</th> Expected cost</th></tr></thead> European + la partage (even money)</td> 1.35%</td> $400</td> $5.40</strong></td></tr> European</td> 2.70%</td> $400</td> $10.80</td></tr> American</td> 5.26%</td> $400</td> $21.04</td></tr> American, five-number bet</td> 7.89%</td> $400</td> $31.56</td></tr> </tbody></table> Same game, same stake, same hour, four times the price. The only decision that matters in roulette is made before the first spin: which wheel you sit at.</p> Next: American vs European roulette</a> · why betting systems cannot work</a></p> Let It Ride Rules, Strategy and Odds Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Let It Ride is a poker-based game with no dealer hand and no bluffing. You are paid on the rank of your five cards alone, and your only decisions are whether to pull back two of your three equal bets as the hand develops. It is slow, low-pressure, and — played correctly — reasonable.</p> How it plays</h2> Place three equal bets</strong>, marked 1, 2 and $ (the third is mandatory and always stays).</li> You receive three cards</strong>. Two community cards are dealt face down.</li> First decision:</strong> look at your three cards. Either pull back bet 1, or “let it ride”.</li> The first community card is revealed.</li> Second decision:</strong> with four cards now known, either pull back bet 2, or let it ride.</li> The second community card is revealed. Your final five cards are paid per the table.</li> </ol> You can pull back one, both, or neither of the first two bets. The third bet ($) always rides. Crucially, pulling a bet back costs you nothing</strong> — you simply reclaim it. So the decision is purely about whether the extra money on the table has positive expectation.</p> Payouts</h2> Hand</th> Pays (per riding bet)</th></tr></thead> Royal flush</td> 1000:1</td></tr> Straight flush</td> 200:1</td></tr> Four of a kind</td> 50:1</td></tr> Full house</td> 11:1</td></tr> Flush</td> 8:1</td></tr> Straight</td> 5:1</td></tr> Three of a kind</td> 3:1</td></tr> Two pair</td> 2:1</td></tr> Tens or better</td> 1:1</td></tr> Less than a pair of tens</td> Loss</td></tr> </tbody></table> You need a pair of tens just to break even on a riding bet. That threshold drives the entire strategy.</p> The strategy — two rules</h2> First decision (three cards). Let it ride only with:</strong></p> A paying hand already — any three of a kind, or a pair of tens or better</li> Three to a royal flush</li> Three to a straight flush, if the cards are 3-4-5 or higher and reasonably connected</li> </ul> Otherwise pull bet 1 back.</strong> A random three cards will not make tens-or-better often enough to justify the extra unit.</p> Second decision (four cards). Let it ride only with:</strong></p> A paying hand already (tens or better, or better)</li> Four to a flush</li> Four to an outside straight (open both ends) — but not</strong> a gutshot</li> Four to a straight flush</li> </ul> Otherwise pull bet 2 back.</strong></p> That is the complete strategy. Played this way the game runs about 3.51%</strong> house edge on the base wager.</p> Why four to a flush lets it ride</h3> Four to a flush has nine outs from the remaining cards. With one card to come you complete it around 19.6% of the time, and a flush pays 8:1 — enough to make the extra unit profitable even though you miss four times out of five. Four to an outside straight (eight outs, 5:1 payout) just clears the bar; a gutshot (four outs) does not, which is why the strategy distinguishes them.</p> House edge and element of risk</h2> Because you pull back most bets, the two figures differ:</p> Measure</th> Value</th></tr></thead> House edge (of base bet)</td> 3.51%</strong></td></tr> Element of risk (of average total wagered)</td> 2.86%</strong></td></tr> </tbody></table> The element-of-risk figure is the more honest one for comparing Let It Ride to games without pull-backs, because on a typical hand you have only one or two units at risk, not three. See methodology</a> for the distinction.</p> The 3 Card Bonus</h2> An optional side bet paying on the poker rank of your first three cards alone. Pay tables vary widely, and the house edge runs from about 2% on the most generous to over 13% on the worst, with common casino versions around 7-8%</strong>.</p> It is not connected to the main game and does not affect your pull-back decisions. Like nearly every carnival-game side bet, it exists to raise the blended cost of the table, and it does so efficiently. Skip it and play the base game.</p> Cost per hour</h2> Let It Ride is slow — perhaps 40 hands an hour, and you often have only one unit at risk.</p> Bets</th> Effective edge</th> $5 units, 40 hands</th> Cost/hour</th></tr></thead> Base game, correct strategy</td> 2.86% element of risk</td> ~$300 at risk</td> ~$8.60</strong></td></tr> Base + 3 Card Bonus (7.5%)</td> blended ~4.5%</td> ~$400</td> ~$18</strong></td></tr> </tbody></table> Adding the side bet roughly doubles the cost. The base game alone is one of the gentler carnival games on the floor.</p> See also: Three Card Poker</a> · house edge, every game</a></p> Pai Gow Poker Rules, Strategy and the House Way Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Pai Gow Poker is the slowest game on the casino floor and, played with the house way, one of the more reasonable. You split seven cards into two poker hands, and both must beat the dealer’s for you to win. Pushes are frequent, swings are small, and a session can last a remarkably long time on a modest bankroll.</p> How it plays</h2> Place a bet. You and the dealer each receive seven cards</strong>.</li> Split your seven into a five-card “high” hand</strong> and a two-card “low” hand</strong>.</li> The single hard rule: the five-card hand must outrank the two-card hand.</strong> Setting the two-card hand higher is a “foul” and loses automatically.</li> Both hands are compared to the dealer’s corresponding hands.</li> </ol> Result</th> Outcome</th></tr></thead> Both your hands beat the dealer’s</td> Win (pays 1:1 less 5% commission)</td></tr> You win one, lose one</td> Push</strong> — bet returned</td></tr> Both your hands lose</td> Lose</td></tr> A hand exactly ties (a “copy”)</td> Dealer wins that hand</td></tr> </tbody></table> Because you must win both</em> hands to be paid, and copies go to the dealer, pushes are the most common outcome — often close to 40% of hands. That is what makes the game so slow-moving.</p> The two-card hand does the work</h2> The five-card hand is usually obvious — it is your best poker hand. The skill is in how much strength you move to the two-card</strong> hand, because that hand has to beat the dealer’s two-card hand too, and the best a two-card hand can be is a pair.</p> The core principle:</p> Make your two-card hand as strong as possible without</strong> making your five-card hand weaker than it.</p> </blockquote> With two pair, for example, you often split them — the higher pair stays in the five-card hand, the lower pair goes to the two-card hand — rather than keeping both in front and leaving two low cards behind. Whether to split depends on how high the pairs are, and this is exactly the sort of decision the house way encodes.</p> The house way</h2> Every casino publishes a house way</strong> — the fixed algorithm the dealer uses to set their own seven cards. You are entitled to ask the dealer to set your hand the house way, and doing so plays within about 0.2%</strong> of optimal. For a casual player that is close enough that learning a full strategy chart is rarely worth the effort.</p> Rough outline of a typical house way:</p> No pair:</strong> highest card in the five-card hand, next two highest in the two-card hand.</li> One pair:</strong> pair in the five-card hand, two highest remaining in the two-card hand.</li> Two pair:</strong> usually split — high pair back, low pair front — unless the pairs are low and you hold an ace, in which case keep both and play the ace in front.</li> Three pair:</strong> highest pair to the two-card hand, keep the other two in front.</li> Full house:</strong> split — three of a kind back, the pair in front — almost always, because it strengthens the two-card hand enormously while the five-card hand stays strong.</li> Straights, flushes, better:</strong> keep them intact in the five-card hand unless you can keep the straight/flush and</em> put a pair in front.</li> </ul> Banking is where the value is</h2> Pai Gow lets players take a turn as the banker</strong>, playing against the other players and the dealer’s own wager. The banker wins copies. That single fact moves the edge substantially:</p> Role</th> House edge (incl. 5% commission)</th></tr></thead> Playing against the dealer</td> 2.84%</strong></td></tr> Banking</td> ~1.46%</strong></td></tr> </tbody></table> Banking roughly halves your cost. The catches: you must have enough in front of you to cover all the bets you are banking against, the commission is charged on your net win, and the house dealer typically co-banks (bets against you) on your turn. Even so, banking every time it is offered is the single biggest strategy improvement available in the game.</p> The commission</h2> Winning hands pay 1:1 minus a 5% commission</strong>. On a $20 win you keep $19. Some casinos have moved to commission-free Pai Gow variants that instead reduce a specific winning hand (often a banker win with a queen-high pai gow pushes, or certain hands pay less) — the house edge on those is broadly similar, sometimes marginally better. Read the felt.</p> Cost per hour</h2> The slowest game in the house, with constant pushes — perhaps 30 hands an hour and a low fraction of them resolved.</p> Role</th> Edge</th> $25 bets, 30 hands</th> Effective cost/hour</th></tr></thead> Player, house way</td> 2.84%</td> $750 wagered</td> ~$21</strong>, but many pushes</td></tr> Banking half the time</td> ~2.15% blended</td> $750</td> ~$16</strong></td></tr> </tbody></table> The nominal figures overstate the pain, because pushes mean much of that “wagered” money comes straight back. Pai Gow is often cited as the cheapest way to sit at a table for hours on a small bankroll, and with banking it lives up to that.</p> See also: Three Card Poker</a> · house edge, every game</a></p> Sic Bo Rules, Odds and Payouts Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Sic Bo is a dice game of Chinese origin, played with three dice shaken under a cover. You bet on the outcome, the dice are revealed, and fixed payouts apply. Like craps</a>, it puts the best and worst bets in the casino on the same layout — and like craps, the whole strategy is knowing which is which.</p> How it plays</h2> Three dice are shaken and revealed. The layout offers dozens of bets on the result. There are no decisions after betting — you place chips, the dice are shown, and winning bets are paid.</p> The 216 equally likely outcomes (6 × 6 × 6) determine every probability on the table. Everything below comes from counting them.</p> The bets worth making</h2> Bet</th> Wins on</th> Pays</th> House edge</th></tr></thead> Small</strong></td> Total 4–10 (loses on any triple)</td> 1:1</td> 2.78%</strong></td></tr> Big</strong></td> Total 11–17 (loses on any triple)</td> 1:1</td> 2.78%</strong></td></tr> Even</td> Even total (loses on triples)</td> 1:1</td> 2.78%</td></tr> Odd</td> Odd total (loses on triples)</td> 1:1</td> 2.78%</td></tr> </tbody></table> These four are the only Sic Bo bets in the same class as a decent table game. Big and Small each cover a range that wins just under half the time — the triples are carved out to create the edge, exactly as the zero does on a roulette wheel.</p> The bets to avoid</h2> Bet</th> Wins on</th> Pays</th> House edge</th></tr></thead> Specific double</td> A chosen pair appears</td> 8:1 (to 10:1)</td> 18.52% (varies)</td></tr> Specific triple</td> A chosen triple appears</td> 150:1 to 180:1</td> ~16.2%</strong></td></tr> Any triple</td> Any triple</td> 24:1 to 30:1</td> 13.9% (varies)</td></tr> Three-dice total 4 or 17</td> That exact total</td> 50:1 to 60:1</td> ~15.3%</td></tr> Total 5 or 16</td> That exact total</td> 18:1 to 30:1</td> ~13-29%</td></tr> Total 9, 10, 11, 12</td> That exact total</td> 6:1 to 7:1</td> ~12.5%</td></tr> Single number (one die)</td> Number on 1/2/3 dice</td> 1:1 / 2:1 / 3:1</td> 7.87%</td></tr> Two-number combination</td> Both numbers appear</td> 5:1</td> 2.78%–11.1% (pay-table dependent)</td></tr> Specific triple</strong> (worst common pay table)</td> That triple</td> 150:1</td> 18.98%</strong></td></tr> </tbody></table> The specific triple is the marquee bet — a huge payout for guessing all three dice — and it is one of the most expensive wagers in any casino, worse than keno on some pay tables. The single number bet, which looks harmless at 7.87%, is still nearly three times the cost of big/small.</p> Why the totals are priced so high</h2> A specific three-dice total like 4 can only be made a handful of ways (1-1-2 in three arrangements, so 3 of 216 = 1.39%). The payouts on these rare totals look generous — 50:1 or 60:1 — but sit well below the true odds, which is where the double-digit edge comes from. The rarer the total, the larger the gap tends to be, so the tempting long-shot totals are precisely the worst-priced.</p> Strategy</h2> There is one:</p> Bet only Big/Small or Even/Odd. Ignore the rest of the layout.</p> </blockquote> Every other bet carries between 7.87% and 18.98%. No pattern, progression, or “due” number changes any of it — the dice are independent on every shake, and betting systems cannot convert a negative expectation into a positive one</a>.</p> Played on big/small alone, Sic Bo is a 2.78% game — the same as a good field bet in craps or a double-zero-free stretch of roulette. Played across the exotic bets, it is one of the most expensive games on the floor. The layout is designed to draw you toward the second.</p> See also: craps odds and payouts</a> — the same best/worst spread · house edge, every game</a></p> Three Card Poker Rules, Strategy and Odds Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Three Card Poker is a fast, simple game with one strategy decision, one good bet and one bet that depends heavily on a pay table nobody reads.</p> How it plays</h2> Place an ante</strong>, a Pair Plus</strong> bet, or both.</li> You and the dealer receive three cards each; yours face up, the dealer’s face down.</li> Decide: fold</strong> (forfeit the ante) or play</strong> (place a Play bet equal to the ante).</li> The dealer reveals. The dealer qualifies</strong> with queen-high or better.</li> </ol> Situation</th> Ante</th> Play bet</th></tr></thead> Dealer does not qualify</td> Pays 1:1</td> Pushes</strong></td></tr> Dealer qualifies, you win</td> Pays 1:1</td> Pays 1:1</td></tr> Dealer qualifies, you lose</td> Lost</td> Lost</td></tr> Tie</td> Push</td> Push</td></tr> </tbody></table> Pair Plus is settled separately and pays on your hand alone, regardless of the dealer.</p> Hand rankings — not the ones you know</h2> With three cards, the order changes. A straight beats a flush, because a straight is rarer.</p> Hand</th> Combinations</th> Probability</th></tr></thead> Straight flush</td> 48</td> 0.22%</td></tr> Three of a kind</td> 52</td> 0.24%</td></tr> Straight</strong></td> 720</td> 3.26%</strong></td></tr> Flush</strong></td> 1,096</td> 4.96%</strong></td></tr> Pair</td> 3,744</td> 16.94%</td></tr> High card</td> 16,440</td> 74.39%</td></tr> Total</em></td> 22,100</em></td> 100%</em></td></tr> </tbody></table> Three of a kind beats a straight for the same reason. Nearly three quarters of hands are nothing at all, which is what makes the fold decision matter.</p> The strategy: Q-6-4</h2> Play any hand of Queen-6-4 or better. Fold everything else.</strong></p> Compare your three cards to Q-6-4 in order:</p> Highest card better than a queen → play</strong></li> Highest card worse than a queen → fold</strong></li> Queen high: compare the second card to 6. Better → play. Worse → fold.</li> Queen-6: compare the third card to 4. Better or equal → play. Worse → fold.</li> </ul> So Q-7-2 plays, Q-6-4 plays, Q-6-3 folds, J-10-9 folds.</p> This rule plays the game within 0.01%</strong> of optimal. There is nothing else to learn.</p> Why fold at all, given the ante pays anyway?</h3> Because the Play bet doubles your exposure on a hand that is behind. Folding costs the ante outright; playing a weak hand costs the ante plus the play bet more often than it wins both. The break-even point sits precisely at Q-6-4.</p> Playing every hand regardless raises the house edge from 3.37% to about 7.65%</strong>. Folding everything below a pair raises it too, in the other direction — you fold a large number of hands that were favourites. Q-6-4 is the balance point.</p> House edge</h2> Bet</th> House edge</th> Element of risk</th></tr></thead> Ante + Play (correct strategy)</td> 3.37%</strong> of ante</td> 2.01%</td></tr> Ante + Play (play every hand)</td> 7.65%</td> —</td></tr> Pair Plus (1-4-6-30-40 pay table)</td> 2.32%</strong></td> —</td></tr> Pair Plus (1-3-6-30-40 pay table)</td> 7.28%</strong></td> —</td></tr> 6-Card Bonus side bet</td> 8–10%</td> —</td></tr> </tbody></table> Both figures are quoted on this site as house edge and element of risk</a>, because Three Card Poker requires a second bet after the first.</p> Pair Plus pay tables</h2> This is where the game varies most, and the difference is a factor of three.</p> Hand</th> Original</th> Reduced</th> Common today</th></tr></thead> Straight flush</td> 40:1</td> 40:1</td> 40:1</td></tr> Three of a kind</td> 30:1</td> 30:1</td> 30:1</td></tr> Straight</td> 6:1</td> 6:1</td> 6:1</td></tr> Flush</strong></td> 4:1</strong></td> 3:1</strong></td> 3:1</strong></td></tr> Pair</td> 1:1</td> 1:1</td> 1:1</td></tr> House edge</strong></td> 2.32%</strong></td> 7.28%</strong></td> 7.28%</strong></td></tr> </tbody></table> One line — the flush — moves the edge by 4.96%. A 4:1 flush makes Pair Plus a better bet than the ante-play game; a 3:1 flush makes it more than twice as expensive.</p> Look at the flush line on the felt. If it says 3, skip Pair Plus and play ante only.</p> The ante bonus</h2> Paid automatically on a straight or better, whether or not the dealer qualifies and whether or not you win:</p> Hand</th> Typical ante bonus</th></tr></thead> Straight flush</td> 5:1</td></tr> Three of a kind</td> 4:1</td></tr> Straight</td> 1:1</td></tr> </tbody></table> This is not an optional bet and is already accounted for in the 3.37% figure. Tables paying 4:1 for a straight flush instead of 5:1 are slightly worse.</p> Cost per hour</h2> Three Card Poker deals fast — around 50 hands an hour heads-up with a dealer.</p> Bets</th> Edge</th> $10 units, 50 hands</th> Cost/hour</th></tr></thead> Ante + play only</td> 3.37% of ante</td> $500 ante</td> $16.85</strong></td></tr> Ante + Pair Plus, 4:1 flush</td> blended ~2.9%</td> $1,000</td> ~$29</td></tr> Ante + Pair Plus, 3:1 flush</td> blended ~5.1%</td> $1,000</td> ~$51</td></tr> </tbody></table> Adding a Pair Plus bet on a 3:1 table triples your hourly cost. That is the pattern across every carnival game: the base game is reasonable, and the side bet is where the money goes.</p> See also: house edge across every game</a>.</p> Video Poker Strategy and Pay Tables Unknown — Sat, 05 Sep 2026 00:00:00 +0000 Video poker is the only machine on a casino floor whose exact return you can calculate before you insert money. The deck is 52 cards, the pay table is printed on the glass, and the game is fully solved.</p> Which means the important skill is not playing hands well. It is reading the glass</strong>.</p> The pay table is the game</h2> Jacks or Better, per coin bet, five coins played:</p> Hand</th> 9/6 (full pay)</th> 8/6</th> 9/5</th> 8/5</th> 7/5</th> 6/5</th></tr></thead> Royal flush</td> 800</td> 800</td> 800</td> 800</td> 800</td> 800</td></tr> Straight flush</td> 50</td> 50</td> 50</td> 50</td> 50</td> 50</td></tr> Four of a kind</td> 25</td> 25</td> 25</td> 25</td> 25</td> 25</td></tr> Full house</strong></td> 9</strong></td> 8</strong></td> 9</strong></td> 8</strong></td> 7</strong></td> 6</strong></td></tr> Flush</strong></td> 6</strong></td> 6</strong></td> 5</strong></td> 5</strong></td> 5</strong></td> 5</strong></td></tr> Straight</td> 4</td> 4</td> 4</td> 4</td> 4</td> 4</td></tr> Three of a kind</td> 3</td> 3</td> 3</td> 3</td> 3</td> 3</td></tr> Two pair</td> 2</td> 2</td> 2</td> 2</td> 2</td> 2</td></tr> Jacks or better</td> 1</td> 1</td> 1</td> 1</td> 1</td> 1</td></tr> Return</strong></td> 99.54%</strong></td> 98.39%</strong></td> 98.45%</strong></td> 97.30%</strong></td> 96.15%</strong></td> 95.00%</strong></td></tr> </tbody></table> Two lines change. The return moves 4.5%. Everything else on the machine — the cabinet, the sounds, the animation, the denomination — is identical.</p> The 9/6 machine costs $0.46 per $100 wagered</strong>. The 6/5 machine beside it costs $5.00</strong>. At 600 hands an hour on a $1 machine playing five coins, that is $13.80 an hour against $150.00 an hour.</p> Read the full house and flush lines before you sit down.</strong> That single check is worth more than every strategy refinement below it.</p> Always bet five coins</h2> The royal flush pays 250 per coin for 1 through 4 coins, and 800 per coin for 5. That non-linear jump is worth roughly 1.4%</strong> of total return.</p> If five coins on a dollar machine is more than you want to bet, move to a quarter machine and bet five coins there. Never play short coin.</p> Jacks or Better — hold priority</h2> Find the highest item on this list that your five cards contain, and hold exactly that. Discard everything else.</p> Royal flush, straight flush, four of a kind — pat, hold all five</li> 4 to a royal flush</strong></li> Full house, flush, straight, three of a kind</li> 4 to a straight flush</strong></li> Two pair</li> High pair</strong> (jacks, queens, kings, aces)</li> 3 to a royal flush</li> 4 to a flush</strong></li> Low pair</strong> (twos through tens)</li> 4 to an outside straight</li> 2 suited high cards</li> 3 to a straight flush</li> 2 unsuited high cards — if you hold three, keep the lowest</strong> two</li> Suited 10 + J, 10 + Q, or 10 + K</li> One high card</li> Discard all five</li> </ol> This list plays 9/6 Jacks or Better within about 0.05%</strong> of theoretical optimum. That is close enough that the remaining gap is smaller than the difference between two adjacent machines.</p> The decisions people get wrong</h3> Break a flush or straight to draw at a royal.</strong> Item 2 sits above item 3 for a reason. Holding four to a royal and discarding a made flush is correct — the royal is worth 800 and you have an 1-in-47 shot at it.</p> Hold a low pair over four to a flush?</strong> No — item 8 beats item 9. Four to a flush is worth more than a pair of fives.</p> Hold a low pair over three to a royal?</strong> No. Item 7 beats item 9.</p> Never hold a kicker with a pair.</strong> Holding a pair plus an ace instead of a pair plus three draws is a common habit that costs real money on every occurrence. Draw three.</p> Never break a made high pair to draw at anything</strong> except a four-card royal.</p> Deuces Wild</h2> All four deuces are wild. Full-pay Deuces returns 100.76%</strong> with optimal play — a positive-expectation game, and the reason the pay table is now uncommon.</p> Hand</th> Full pay</th> Common short pay</th></tr></thead> Royal flush (natural)</td> 800</td> 800</td></tr> Four deuces</td> 200</td> 200</td></tr> Wild royal</td> 25</td> 25</td></tr> Five of a kind</td> 15</td> 16</td></tr> Straight flush</td> 9</td> 10</td></tr> Four of a kind</td> 5</td> 4</strong></td></tr> Full house</td> 3</td> 4</td></tr> Flush</td> 2</td> 3</td></tr> Straight</td> 2</td> 2</td></tr> Three of a kind</td> 1</td> 1</td></tr> Return</strong></td> 100.76%</strong></td> ~97.6%</strong></td></tr> </tbody></table> The line that matters is four of a kind</strong>. Full pay gives 5; almost every machine on a modern floor gives 4, and that one change costs over 3%. If four of a kind pays 4, you are playing a 97.6% game with a Deuces Wild sign on it.</p> Deuces strategy is genuinely different from Jacks or Better — there are no high-card holds, because a pair of jacks pays nothing. Count your deuces first, then play the rest of the hand by a deuce-specific chart.</p> What does not affect the outcome</h2> Speed of the draw button.</strong> The result is determined when the cards are dealt.</li> Which cards you hold in what order.</strong></li> Playing “cold” or “hot” machines.</strong> Each hand is independent.</li> The machine’s history with previous players.</strong></li> Progressive meters, except for the return.</strong> A royal-flush progressive raises the return in a calculable way; when it crosses the break-even point the game is positive, which is why serious players track meters and casual players do not.</li> </ul> Slot club and cashback</h2> Video poker returns are high enough that comps and cashback are a meaningful fraction of the result. A 0.3% cashback rate on a 99.54% machine takes the effective return to 99.84%. On a 97.30% machine the same cashback is noise.</p> This is the cheapest way for a casual player to improve their result: find the best pay table in the building, always use the card, and always bet five coins.</p> Full comparison: house edge across every game</a>.</p> Winward Casino and this domain Unknown — Sat, 05 Sep 2026 00:00:00 +0000 If you arrived here looking for Winward Casino, this page explains what you found instead.</p> What this domain was</h2> From 2011 until roughly late 2018, winwardcasino.ag</code> hosted Winward Casino</strong>, an online casino running Real Time Gaming (RTG) software and marketing primarily to United States players. The .ag</code> suffix is the country code for Antigua and Barbuda, historically a common licensing jurisdiction for offshore online gambling — which is why so many casino brands of that era used it.</p> The site’s public archive record runs from June 2011. The last archived page that returned a normal response dates to October 2018</strong>. After that, the domain stopped serving a working casino.</p> What this domain is now</h2> An independent reference on casino game rules and probability, published under the name Odds Desk</strong>.</p> We are not a casino. We do not accept deposits, take wagers, run games, pay out winnings, or operate any gambling service. We have no relationship — commercial, corporate, or contractual — with the company that operated Winward Casino, with any successor to that brand, or with any gambling operator.</p> The name “Winward Casino” appears on this page for one reason: to accurately describe the history of the domain address you typed. That is the only use of it on this site.</p> If you had an account</h2> We cannot help with it, and we want to be direct about why rather than leave you clicking. We have no access to any operator’s records, balances, or support systems, and never have.</p> If you are trying to recover a balance from a casino that has closed:</p> Check whether the brand still operates under a different domain, and contact that</strong> operator’s support directly. Brands are frequently sold; the buyer sometimes honours old accounts and sometimes does not.</li> If you know the licensing jurisdiction, its regulator may accept a complaint. For Antigua and Barbuda that is the Directorate of Offshore Gaming.</li> If you funded the account by card, your card issuer’s chargeback window has almost certainly closed after this many years, but it costs nothing to ask.</li> Independent mediation services such as those run by major gambling-information portals sometimes take cases against defunct operators. Success rates are low once a company has stopped trading.</li> </ul> We are not able to intervene in any of these, and anyone claiming otherwise while asking you for a fee is running a recovery scam. Legitimate recovery is never paid for up front.</p> Why keep the domain at all</h2> Because the alternative is worse. Expired casino domains with residual traffic are routinely bought and pointed at whatever pays — fake “official” login pages, unrelated offers, malware-adjacent redirect chains. A domain with a casino name and a decade of inbound links is a standing invitation to exactly that.</p> Publishing verifiable, non-commercial information about game odds at this address is a more useful outcome, and it lets anyone who lands here from an old link get a straight answer about what happened.</p> Disclosure</h2> Not affiliated</strong> with Winward Casino, its former operators, or any successor.</li> Not a gambling operator.</strong> No wagering is possible on this site.</li> Not legal or financial advice.</strong> Gambling law varies by jurisdiction; the legality of online gambling where you live is your responsibility to determine.</li> Trademarks referenced remain the property of their respective owners and are used here descriptively, to identify the subject being discussed.</li> </ul> If you represent a rights holder and believe something here is inaccurate or improperly used, the contact address is on the about page</a> and we will correct it.</p>

Soft 17: Why H17 and S17 Tables Are Not the Same Game

When to Double Down in Blackjack

Are Casino Winnings Taxable?

House Edge: Every Casino Game Compared

How Casino RNGs Work

The Martingale System and Why Betting Systems Cannot Work

Real Time Gaming (RTG): What the Software Is and How to Read Its Odds

What Is RTP?

The Best Bets in Craps

Craps Odds and Payouts

Craps Rules

The core sequence</h2>
A shooter</strong> rolls two dice. The round has two phases.</p>

Keno Odds and Payouts

Methodology

Rounding</h2>
Percentages are given to two decimal places where the underlying figure is exact, and to one where it depends on rule assumptions. Payout odds are given as they appear on the felt (“35:1”, “7:6”) rather than converted, since that is what you will read at the table.</p>

Poker Hand Rankings

Pot Odds and How to Calculate Them

Texas Hold'em Rules

Responsible gambling

American vs European Roulette

Roulette Payouts and Odds

Let It Ride Rules, Strategy and Odds

Pai Gow Poker Rules, Strategy and the House Way

Sic Bo Rules, Odds and Payouts

Three Card Poker Rules, Strategy and Odds

Video Poker Strategy and Pay Tables

Winward Casino and this domain

Odds Desk

About Odds Desk

Corrections</h2>
Mathematical errors are the ones we most want to hear about. If a probability, payout, or edge figure on this site is wrong, tell us and it gets fixed with a note on the page.</p>
Contact: `corrections@winwardcasino.ag</code></p>`

`The domain</h2> This site is published at winwardcasino.ag</code>, which previously hosted an online casino that closed in 2018. We are not affiliated with it. The full history and disclosure is on the domain history page</a>.</p>`

Baccarat Rules

Blackjack Basic Strategy Chart

Blackjack House Edge by Rule Variation

Blackjack Insurance: Why It Is Always Wrong

Blackjack Rules

Odds Desk

About Odds Desk

Corrections</h2> Mathematical errors are the ones we most want to hear about. If a probability, payout, or edge figure on this site is wrong, tell us and it gets fixed with a note on the page.</p> Contact: corrections@winwardcasino.ag</code></p>

The domain</h2> This site is published at winwardcasino.ag</code>, which previously hosted an online casino that closed in 2018. We are not affiliated with it. The full history and disclosure is on the domain history page</a>.</p>

Baccarat Rules

Blackjack Basic Strategy Chart

Blackjack House Edge by Rule Variation

Blackjack Insurance: Why It Is Always Wrong

Blackjack Rules

Your five options</h2> Hit</strong> — take another card. Signal by tapping the table. You may hit as many times as you like until you stand or bust.</p> Stand</strong> — take no more cards. Signal by waving a flat hand over your cards.</p>

How the dealer plays</h2> The dealer has no decisions. They draw to 16 and stand on 17 or higher. The only variable is soft 17:</p> S17</strong> — dealer stands on all 17s including soft 17. Better for you.</li>

Soft 17: Why H17 and S17 Tables Are Not the Same Game

How to read the felt</h2> The layout text is standardised enough to be reliable:</p> “Dealer must draw to 16 and stand on all 17s”</strong> → S17</li> “Dealer must hit soft 17”</strong> → H17</li>

When to Double Down in Blackjack

Are Casino Winnings Taxable?

House Edge: Every Casino Game Compared

How Casino RNGs Work

The Martingale System and Why Betting Systems Cannot Work

Real Time Gaming (RTG): What the Software Is and How to Read Its Odds

What Is RTP?

The Best Bets in Craps

The one-sentence version</h2> Bet the pass line, take maximum odds, add one or two come bets with odds, and ignore the middle of the table.</p>

Craps Odds and Payouts

Craps Rules

The core sequence</h2> A shooter</strong> rolls two dice. The round has two phases.</p>

Keno Odds and Payouts

Methodology

What “element of risk” means</h2> For bets where you may be required to wager more after the initial bet — Three Card Poker, Caribbean Stud, Let It Ride — two figures exist:</p> House edge</strong>: expected loss ÷ the original ante.</li>

Blackjack figures</h2> Blackjack cannot be solved in closed form because the composition of the remaining deck changes as cards are dealt. Published basic-strategy edges come from combinatorial analysis or large simulations. Unless stated otherwise, blackjack numbers here assume:</p>

Rounding</h2> Percentages are given to two decimal places where the underlying figure is exact, and to one where it depends on rule assumptions. Payout odds are given as they appear on the felt (“35:1”, “7:6”) rather than converted, since that is what you will read at the table.</p>

Poker Hand Rankings

Corrections</h2>
Mathematical errors are the ones we most want to hear about. If a probability, payout, or edge figure on this site is wrong, tell us and it gets fixed with a note on the page.</p>
Contact: `corrections@winwardcasino.ag</code></p>`

`The domain</h2> This site is published at winwardcasino.ag</code>, which previously hosted an online casino that closed in 2018. We are not affiliated with it. The full history and disclosure is on the domain history page</a>.</p>`

The core sequence</h2>
A shooter</strong> rolls two dice. The round has two phases.</p>

Rounding</h2>
Percentages are given to two decimal places where the underlying figure is exact, and to one where it depends on rule assumptions. Payout odds are given as they appear on the felt (“35:1”, “7:6”) rather than converted, since that is what you will read at the table.</p>