Poker Hand Odds: How Often Each Hand Type Appears
A standard 52-card deck contains 2,598,960 possible five-card hands. Every one of those hands belongs to exactly one of the ten types below, so the counts add up to that total without overlap. Rank Hand Five-Card Combinations Probability Frequency (1 in N) 1 Royal Flush 4 0.000154% 1 in 649,740 2 Straight Flush 36 0.001385% 1 in 72,193 3 Four of a Kind 624 0.024010% 1 in 4,165 4 Full House 3,744 0.144058% 1 in 694.2 5 Flush 5,108 0.196540% 1 in 508.8 6 Straight 10,200 0.392465% 1 in 254.8 7 Three of a Kind 54,912 2.112845% 1 in 47.33 8 Two Pair 123,552 4.753902% 1 in 21.04 9 One Pair 1,098,240 42.256903% 1 in 2.37 10 High Card 1,302,540 50.117739% 1 in 2.00 How to read the three number columns Five-Card Combinations counts how many of the 2,598,960 hands fall into that type. Probability is that same count expressed as a share of the full set. Frequency (1 in N) restates the figure as an average: a Full House appears about once per 694.2 randomly dealt five-card hands. That column is not “odds against” in the betting sense. Reading it as a price will give you the wrong number when you compare it with the chips in front of you. If you need a betting figure, work from the Probability column, or use the pot odds formula with the actual chip count. ...