Start with the hand rankings, because they're the first thing that surprises people who come to Three Card Poker from a standard poker background.
In Five Card Poker, a flush beats a straight. In Three Card Poker, a straight beats a flush. The reason is combinatorial. With three cards from a 52-card deck, there are 1,096 possible flush combinations but only 720 straight combinations. Straights are rarer, so they rank higher. Our Three Card Poker analysis confirms the full ranking: straight flush (48 combinations, probability 0.22%), three of a kind (52 combinations, 0.24%), straight (720, 3.26%), flush (1,096, 4.96%), pair (3,744, 16.94%), and everything else. This matters because the Ante Bonus, paid when you hold a straight or better regardless of the dealer's hand, follows this hierarchy. Getting the hand rankings wrong costs you the bonus.
Three Card Poker was invented by Derek Webb in the mid-1990s and patented in 1994. The patent describes the core mechanism that remains on every floor today: a single decision of raise or fold, a dealer qualification threshold, and a bonus pay table for strong hands. The game became one of the most widely installed casino poker variants worldwide within a decade, partly because of its simplicity and partly because of the manufacturer's aggressive licensing programme.
The Q-6-4 Rule and Why It Works
The single strategic decision in Three Card Poker is whether to make the Play bet, equal to your Ante, after seeing your three cards. The dealer receives three cards but you see none of them before deciding. Your only information is your own hand.
Optimal strategy is: raise if your hand is queen-six-four or better, fold everything below it. "Better" means any hand that beats queen-six-four in the three-card ranking system. Queen-seven-two is better than queen-six-four. Queen-six-three is worse. A pair of twos is better. A flush is far better. The threshold exists because against the distribution of possible dealer hands, queen-six-four is precisely the inflection point at which raising becomes mathematically preferable to folding. our calculation confirms the threshold is independent of the pay table variant in play: the Q-6-4 rule holds whether the casino is using Ante Bonus pay table 1, 2, or 3.
Below queen-six-four, the expected value of raising is negative. You're more likely to lose the combined Ante and Play bet than to recover anything. Folding forfeits only the Ante. The maths consistently prefers the smaller certain loss over the larger probable loss in those situations. The combined house edge across Ante and Play under this strategy is 3.37% of the total amount bet. The element of risk, which is the edge expressed as a percentage of just the Ante (since the Play bet only goes down when you raise), is approximately 2.01%.
Pair Plus: A Separate Game on the Same Table
Pair Plus is an independent side bet that pays based solely on the poker value of your three cards, regardless of what the dealer holds and regardless of whether you raise or fold. The payouts are: pair pays 1:1, flush pays 3:1 or 4:1 depending on the table, straight pays 6:1, three of a kind pays 30:1 or 31:1, and a straight flush pays 40:1 or 35:1. The exact pay table varies by casino and jurisdiction.
The house edge on Pair Plus under the most common pay table (1-3-6-30-40) is 7.28% per the our in-house analysis. That's more than double the Ante-Play edge under optimal strategy. The game makes Pair Plus look like a low-cost natural addition because the bet tokens are already in front of you and the croupier expects you to post it. It isn't a natural addition. It's a separate high-edge bet. Playing Ante only, with optimal Q-6-4 strategy, is a materially different session cost from playing Ante plus Pair Plus habitually.
The one circumstance in which Pair Plus does relatively less damage is when you're dealt a strong hand you'd have raised anyway. In that case, Pair Plus pays additionally and the Ante Bonus also triggers if you have a straight or better. But the marginal value of Pair Plus on those hands doesn't justify its drag on the majority of hands where you hold a medium or weak three-card holding. The EV of Pair Plus is negative on every hand, regardless of what you're holding.
What the Dealer Qualification Does to Your Returns
The dealer qualifies on queen-high or better. When the dealer doesn't qualify, the Play bet pushes regardless of whether you beat the dealer's hand or not. Only the Ante pays at even money. This is the mechanism that protects you partially on hands where you've raised with a marginal holding: if both you and the dealer hold weak cards and neither has much, but the dealer fails to qualify, your Play money comes back and the Ante still pays.
The Ante Bonus is the other layer. If you raised and hold a straight, three of a kind, or straight flush, you receive the bonus regardless of the dealer's hand and regardless of whether you win or lose the primary bet. Under pay table 1, which is the most common: straight pays 1:1, three of a kind pays 4:1, straight flush pays 5:1. At Aspers Westfield Stratford, which regularly offers Three Card Poker, you'll typically find a version close to standard pay table 1 or 2 on the carnival floor.
The calculation for a typical session: £20 ante, 50 hands per hour, roughly 50% raise rate (the Q-6-4 threshold generates raises on approximately half of all hands dealt), total money in action approximately £30 per hand on raised hands and £20 on folded hands, blended average bet roughly £25. At 3.37% edge, expected loss is approximately £42 per hour. That's the honest baseline before you add Pair Plus. Adding Pair Plus at £10 per hand, 50 hands per hour, adds £36.40 per hour in expected losses. The total jumps to roughly £78 per hour at that stake level. That's worth knowing before you sit down.
Use the casino poker trainers to build the Q-6-4 reflex before you play live. The decision is simple enough that you should be making it without conscious arithmetic after a short practice session.
Key numbers
| Bet | House edge | Notes |
|---|---|---|
| Ante-Play (Q-6-4 optimal) | 3.37% | Pay table 1 (SF 5x, ToC 4x, Str 1x) |
| Ante-Play (always raise) | 7.65% | No strategy applied |
| Pair Plus (pay table 1-3-6-30-40) | 7.28% | Independent of Ante decision |
| Pair Plus (pay table 1-4-6-30-40) | 2.32% | Better pay table, rarely offered |
| Ante Bonus (straight or better) | n/a | Paid regardless of dealer outcome |
Sources: our Three Card Poker analysis, Hippodrome Casino table games, Three Card Poker US patent 5288081.