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What are the odds of being dealt a full house in five-card poker?

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Five playing cards showing a flush in clubs: king, ten, eight, seven, and five of clubs. — poker A poker hand containing five cards of the same suit but not in sequence is called a flush.

In a standard five-card poker game, the probability of being dealt a full house—a hand consisting of three cards of one rank and two cards of another—is based on the total number of possible five-card combinations from a 52-card deck, which is 2,598,960.1

There are 3,744 distinct ways to be dealt a full house. Consequently, the approximate odds of receiving this hand are 1 in 694.16.1

| Poker Hand | Number of Ways | Approximate Odds |
| :--- | :--- | :--- |
| Full House | 3,744 | 1 in 694.16 |

Understanding these mathematical probabilities is a fundamental aspect of skillful play, as the rank of a hand is determined by its mathematical frequency; hands that are more unusual are higher in rank.231