3-Card Poker: Rules, Odds & the Q-6-4 Strategy

By Vinoth Kanna · 29 July 2026

Casino Poker · Rules

Three-card poker is the most popular table-poker game in casinos for a simple reason: one decision per hand. That also means the entire optimal strategy fits in one sentence — and this guide gives you the odds behind it.

How a hand works

1. You place an Ante bet (and optionally the separate Pair Plus side bet).
2. You and the dealer each get three cards, yours face up to you, dealer’s down.
3. One decision: fold (lose the ante) or Play (bet exactly the ante again).
4. The dealer needs queen-high or better to “qualify.”
   • Dealer doesn’t qualify: Play bet pushes, Ante pays 1:1.
   • Dealer qualifies and you beat them: both bets pay 1:1.
   • Dealer qualifies and beats you: both bets lose.

The Ante and Pair Plus are independent wagers settled by different rules. Pair Plus never looks at the dealer’s cards at all; the Ante game is a head-to-head comparison. You can make either, both, or — at most tables — neither and simply watch.

Hand rankings are different — a straight beats a flush

With three cards, the probabilities flip: flushes are easier to make than straights, so the ranking order changes. This trips up every Hold’em player.

Why the flip happens — count it yourself

There are C(52,3) = 22,100 three-card hands. Every number above comes from counting combinations, and the flush/straight inversion is obvious once you do:

A three-card flush needs three cards of one suit, and there are C(13,3) = 286 ways to pick three ranks inside a suit — 1,144 suited hands in total. A three-card straight needs three specific consecutive ranks, and there are only 12 such sequences, giving 768 hands. Flushes outnumber straights, so straights rank higher.

Now compare that with the five-card game, where a flush occurs in 0.197% of 2,598,960 hands and a straight in 0.392% — flushes are the rarer hand and therefore rank above straights. Nothing about the cards changed; the hand size did. If the five-card version is what confuses you, the dedicated explainer on whether a flush beats a straight walks through both, and the standard order lives on the poker hand rankings page.

The entire strategy: Q-6-4

Play with Q-6-4 or better. Fold anything worse.

That’s it — the mathematically derived optimal strategy. Compare your three cards to queen-six-four in order: any pair or better plays; Q-7-x plays; Q-6-5 plays; Q-6-3 folds; J-high folds, always.

Played this way, the house edge on the Ante game is about 3.4% of the ante (about 2.0% of total money wagered when you count the Play bets). Deviating — playing every hand, or only playing pairs — costs measurably more.

Reading the rule correctly

Compare rank by rank, highest first, exactly the way you would break a tie:

Suits are irrelevant to the decision. A suited J-10-9 is a straight flush draw in a game where there is no draw — you get three cards and that is the hand.

Why the threshold sits so low

The dealer fails to qualify on 30.4% of hands. Run the count: of the 22,100 three-card hands, 6,720 are jack-high or worse with no pair, straight or flush. That is the number that drives everything, because when the dealer misses, your Ante pays 1:1 and your Play bet pushes — you collect a unit no matter what you are holding.

So the question is never “can this hand beat the dealer?” It is “does playing beat surrendering a unit?” Folding costs exactly −1. Playing risks 2 units but carries a nearly one-in-three freeroll built in. Work the break-even backwards and the marginal hand only needs to beat a qualifying dealer around 2% of the time. Q-6-4 is where that line falls.

This is why the biggest error in three-card poker is folding too much, not playing too much. Folding a Q-5-2 forfeits your share of that 30.4% freeroll for nothing.

Ante Bonus: paid even if the dealer wins

Most tables pay an automatic Ante Bonus on big hands regardless of the dealer’s cards: typically 1:1 for a straight, 4:1 for trips, and 5:1 for a straight flush. You don’t need to do anything — but you should check the posted paytable, because stingier bonus tables raise the house edge.

Weight those payouts by how often each hand appears and the Ante Bonus returns roughly 5.3% of your ante over time:

That 5.3% is a large share of why the Ante game’s edge lands near 3.4% instead of somewhere far worse. It also means a table that quietly pays 3:1 on trips or 4:1 on straight flushes is charging you real money for the same game. Check the felt, every time — this is the cheapest edge available in the pit and it costs nothing but ten seconds of reading.

Pair Plus: fun, but know the price

Pair Plus wins on any pair or better in your own hand, dealer irrelevant. The payout you must check is the flush line, because moving it by a single step roughly triples the cost of the bet:

Those two felts look identical across the table and differ by five percentage points. The 4:1 version is one of the better side bets in the casino; the 3:1 version is one of the worse. Either way, treat Pair Plus as entertainment rather than strategy — there is no decision attached to it.

The reason the flush line matters more than any other is frequency. A flush lands on 4.96% of hands — more often than straights, trips and straight flushes put together. Shaving one unit off the flush payout therefore costs you 4.96 percentage points of return; shaving one unit off the 40:1 straight-flush line, a hand you see once in about 460 deals, costs 0.22. Read paytables from the most common hand down, not from the jackpot up.

There is also no decision attached to Pair Plus. You cannot fold it, size it mid-hand, or improve it. Whatever edge the printed paytable carries is the edge you accept the moment the chip goes down — which is exactly the opposite of the Ante game, where the Q-6-4 rule is worth real money.

Common mistakes

• Folding small pairs. A pair of twos is a clear Play — you’re a favorite against the dealer’s average qualifying range.
• Playing “pretty” J-highs. J-10-9 suited feels strong; it’s still a fold. Only queen-high or better ever plays.
• Mimicking the dealer (playing Q-high only when you’d qualify) — close, but Q-6-4 is provably better than “any queen.”
• Ignoring paytables. Two side-by-side tables can differ by several percent in house edge purely on the printed payouts.
• Betting Pair Plus larger than the Ante. You are moving money from the cheaper wager to the more expensive one. If you want more action, raise the Ante.
• Folding after a losing streak “to wait it out.” Every hand is dealt from a fresh shuffle. A fold is a guaranteed loss of one unit; there is no such thing as sitting out a cold deck profitably.

Should a poker player bother?

Three-card poker is a house game — unlike real poker, no skill can make it long-term profitable. Q-6-4 reduces the Ante edge to about 3.4%; it does not remove it, and nothing else will either. What correct play buys you is a slower rate of loss — a real benefit if you were going to sit anyway, and none at all otherwise. Decide your limits before the first hand; the responsible gaming guide covers how to set them.

With that said, if you’re going to play casino table games, playing Q-6-4 correctly makes it one of the cheaper seats in the pit, and the hand rankings above at least keep the surprises away. For games where skill does set the edge, start with Hold’em starting hands or the optimal-play chart for Ultimate Texas Hold’em.

FAQ

Does a straight really beat a flush in three-card poker? Yes, and it is not a house quirk — it is the arithmetic. Straights occur on 3.26% of hands and flushes on 4.96%, so the rarer hand ranks higher, as it does in every poker variant. The order only looks strange because five-card poker runs the other way.

Should I play the Ante or Pair Plus? The Ante game, if you are choosing one. It carries a lower house edge and it is the only part of the game where your decision changes the result. Pair Plus is a fixed-price side bet with higher variance and no strategy component.

Is there any hand where I should fold a pair? No. Every pair, including deuces, is a Play. A pair already beats 74.39% of all possible hands outright, and the dealer’s 30.4% non-qualifying rate makes the call comfortable even against the pairs that beat you.

How does this compare to other three- and four-card casino games? Four Card Poker deals you five cards to make four and lets you size your Play bet between one and three times the ante, which introduces a second decision. High Card Flush pays on the longest suited run instead of ranked hands. Both carry their own edges — see four card poker and high card flush for the rules, and the hand probability tables for how the underlying counts differ.

Keep learning: try the free poker odds calculator, memorize the hand rankings, or browse all strategy guides.