Video Poker Odds: How Often Each Hand Actually Lands
Under optimal play in 9/6 Jacks or Better, how often does every paying hand really show up? Every number below is computed across all 2,598,960 possible deals — not sampled, not quoted from elsewhere.
The number that matters
A natural royal flush lands about 1 in 40,391 hands under optimal 9/6 Jacks or Better play — far more often than the famous "1 in 649,740," which is only the odds of being dealt one outright with no draw. You win something on about 45.5% of hands.
The complete distribution
Every final-hand outcome under optimal play, most common first.
| Final hand | Frequency | Roughly |
|---|---|---|
| Nothing (no payout) | 54.5435% | 1 in 2 |
| Jacks or better (high pair) | 21.4585% | 1 in 5 |
| Two pair | 12.9279% | 1 in 8 |
| Three of a kind | 7.4449% | 1 in 13 |
| Straight | 1.1229% | 1 in 89 |
| Full house | 1.1512% | 1 in 87 |
| Flush | 1.1015% | 1 in 91 |
| Four of a kind | 0.2363% | 1 in 423 |
| Straight flush | 0.0109% | 1 in 9,148 |
| Royal flush | 0.0025% | 1 in 40,391 |
These add up to exactly 100% because every one of the 2,598,960 possible deals ends in exactly one of these ten outcomes once you draw with optimal strategy. A couple of things worth sitting with: you win something on 45.5% of hands, and a plain high pair — the smallest paying hand — is dozens of times more common than four of a kind, a straight flush, and a royal combined. Most of a session is small, frequent wins; the big hands are what people remember, but the high pair is what pays the bills.
Why the royal number is better than you think
The "1 in 649,740" figure is C(52,5) divided by four: the chance your very first five cards already form a royal flush, before any draw. It is correct, but it answers a question nobody asks at the machine. The path that actually produces royals is being dealt four to a royal and drawing the fifth card, which happens far more often — and computing that exactly gives the real 1 in 40,391.
Common questions
Isn't a royal flush 1 in 649,740?
That figure is the chance your first five cards are already a royal, before any draw — a real number that almost nobody hits that way. Playing normally and drawing toward royals with optimal strategy, a natural royal lands about 1 in 40,391 hands in 9/6 Jacks or Better.
How often do I actually win a hand?
You win something on about 45.5% of hands — less than half — which is why a session can feel cold even when you play perfectly. Most of that is small, frequent wins like a high pair, not the rare big hands.
Are these numbers simulated?
No. They are computed exactly by running the engine’s optimal hold across all 2,598,960 possible deals and measuring every outcome. Not sampled, not estimated — the frequencies sum to exactly 100%.