Four of a kind odds — overall and by rank
Frequency by rank group (optimal 9/6 JoB)
| Quad group | Frequency | Pays: JoB / Bonus / DB / DDB |
|---|---|---|
| Aces (no kicker) | 1 in 6732.5 | 25 / 80 / 160 / 160 |
| Aces + 2-4 kicker | 1 in 21217.1 | 25 / 80 / 160 / 400 |
| 2s–4s | 1 in 2529.1 | 25 / 40 / 80 / 80–160 |
| 5s–Kings | 1 in 609.9 | 25 / 25 / 50 / 50 |
The kicker line is the whole DDB economy: same cards, 400 instead of 160, and it bends correct strategy — the engine-computed flips are here.
FAQ
How often do you get four of a kind in video poker?
Under optimal 9/6 Jacks or Better play: once every 423.3 hands overall. Four aces specifically: once every 5111 hands.
What are the odds of being DEALT four of a kind?
1 in 4,165 — there are 624 pat quads among the 2,598,960 possible five-card deals. Most quads you'll ever hit come from holding a pair or trips and drawing into them.
Why do four aces matter more in Bonus games?
Paytables: JoB pays all quads 25, Bonus pays aces 80, Double Bonus 160, and DDB up to 400 with a kicker. Same frequency, wildly different value — which is why strategy shifts toward aces as the bonus grows.
Do these frequencies assume perfect play?
Yes — exact enumeration of every deal under EV-optimal strategy for 9/6 Jacks or Better. Different paytables shift both strategy and the resulting frequencies slightly.