Odds, Probability & Bankroll
Odds of quads in poker
The odds of quads (four of a kind) in poker are the probability of making a hand with four cards of the same rank, most commonly expressed as odds against.
Key points
- In standard five-card poker, there are 624 possible quads hands out of 2,598,960 total hands.2
- Odds against quads are calculated as (1/p) − 1 : 1, where p is the probability.1
- In video poker variants like Quick Quads, the probability of a quick-quads hand is around 0.004.45
Where this term is used
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Sources
- Poker probability en.wikipedia.org Provides the formula for odds against and the general definition of poker hand probabilities.
- Poker Probabilities wizardofodds.com Gives the exact number of combinations and probability for four of a kind in five-card poker.
- Bad Beat Jackpot Odds wizardofodds.com Lists probabilities for any four of a kind in Texas hold'em bad-beat jackpot scenarios.
- Quick Quads wizardofodds.com Provides the quick-quads probability in one video poker variant.
- Wheel Poker with Quick Quads wizardofodds.com Provides the quick-quads probability in another video poker variant.
Sources are drawn from regulators, universities and published research, and each one is labelled with what it actually is — a preprint is not called a paper. Bookmaker and affiliate pages are never cited here, because a page that sells betting is not a neutral authority on it.