Odds Desk

Three Card Poker Rules, Strategy and Odds

The Q-6-4 rule that plays Three Card Poker optimally, the real house edge on ante-play versus Pair Plus, and why the hand rankings are not the ones you know.

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.

How it plays

  1. Place an ante, a Pair Plus bet, or both.
  2. You and the dealer receive three cards each; yours face up, the dealer’s face down.
  3. Decide: fold (forfeit the ante) or play (place a Play bet equal to the ante).
  4. The dealer reveals. The dealer qualifies with queen-high or better.
SituationAntePlay bet
Dealer does not qualifyPays 1:1Pushes
Dealer qualifies, you winPays 1:1Pays 1:1
Dealer qualifies, you loseLostLost
TiePushPush

Pair Plus is settled separately and pays on your hand alone, regardless of the dealer.

Hand rankings — not the ones you know

With three cards, the order changes. A straight beats a flush, because a straight is rarer.

HandCombinationsProbability
Straight flush480.22%
Three of a kind520.24%
Straight7203.26%
Flush1,0964.96%
Pair3,74416.94%
High card16,44074.39%
Total22,100100%

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.

The strategy: Q-6-4

Play any hand of Queen-6-4 or better. Fold everything else.

Compare your three cards to Q-6-4 in order:

So Q-7-2 plays, Q-6-4 plays, Q-6-3 folds, J-10-9 folds.

This rule plays the game within 0.01% of optimal. There is nothing else to learn.

Why fold at all, given the ante pays anyway?

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.

Playing every hand regardless raises the house edge from 3.37% to about 7.65%. 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.

House edge

BetHouse edgeElement of risk
Ante + Play (correct strategy)3.37% of ante2.01%
Ante + Play (play every hand)7.65%
Pair Plus (1-4-6-30-40 pay table)2.32%
Pair Plus (1-3-6-30-40 pay table)7.28%
6-Card Bonus side bet8–10%

Both figures are quoted on this site as house edge and element of risk, because Three Card Poker requires a second bet after the first.

Pair Plus pay tables

This is where the game varies most, and the difference is a factor of three.

HandOriginalReducedCommon today
Straight flush40:140:140:1
Three of a kind30:130:130:1
Straight6:16:16:1
Flush4:13:13:1
Pair1:11:11:1
House edge2.32%7.28%7.28%

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.

Look at the flush line on the felt. If it says 3, skip Pair Plus and play ante only.

The ante bonus

Paid automatically on a straight or better, whether or not the dealer qualifies and whether or not you win:

HandTypical ante bonus
Straight flush5:1
Three of a kind4:1
Straight1:1

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.

Cost per hour

Three Card Poker deals fast — around 50 hands an hour heads-up with a dealer.

BetsEdge$10 units, 50 handsCost/hour
Ante + play only3.37% of ante$500 ante$16.85
Ante + Pair Plus, 4:1 flushblended ~2.9%$1,000~$29
Ante + Pair Plus, 3:1 flushblended ~5.1%$1,000~$51

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.

See also: house edge across every game.

FAQ

What is the correct Three Card Poker strategy?

Raise with Queen-6-4 or better; fold everything worse. That single rule plays the ante-play game within 0.01% of theoretical optimum, and it is the entire strategy.

Why does a straight beat a flush in Three Card Poker?

Because with three cards a straight is rarer. There are 720 possible straights and 1,096 flushes out of 22,100 three-card hands, so the straight is the stronger hand. The ranking follows the probability, as it does in five-card poker — the probabilities are just different.

Is Pair Plus a good bet?

It depends entirely on the pay table, which varies more than any other element of the game. The original pay table gives a 2.32% house edge; the reduced tables common today give 7.28%. Check what a flush pays — 4:1 or 3:1 — before you bet it.

Should I play the ante bonus?

The ante bonus is not a separate bet; it pays automatically on a straight or better regardless of whether the dealer qualifies. It is already included in the 3.37% figure.