5-Card Poker Hand Probabilities
Click a hand type to see how the combinatorial count is built.
Total possible 5-card hands
C(52, 5) = 2,598,960
Every 5-card subset of a standard 52-card deck is equally likely.
Probability
624 / 2,598,960
0.0240%
About 1 in 4,165 hands
Four-of-a-kind
Four cards of one rank, plus one unrelated card.
624 hands
Count it step by step
Multiply the independent choices
13 × C(4,4) × 48 = 624
Final answers
| Hand | Count | Probability | Percent |
|---|---|---|---|
| Four-of-a-kind | 624 | 624 / 2,598,960 | 0.0240% |
| Full house | 3,744 | 3,744 / 2,598,960 | 0.1441% |
| Two pairs | 123,552 | 123,552 / 2,598,960 | 4.7539% |