Approximate Hand Exact Probability Probability --------------- ---------------------- ------------ Royal Flush: 4 in 2,598,960 1 in 649,740 Straight Flush: 36 in 2,598,960 1 in 72,193 Four of a Kind: 624 in 2,598,960 1 in 4,165 Full House: 3,744 in 2,598,960 1 in 694 Flush: 5,108 in 2,598,960 1 in 509 Straight: 10,200 in 2,598,960 1 in 255 Three of a Kind: 54,912 in 2,598,960 1 in 47 Two Pair: 123,552 in 2,598,960 1 in 21 One Pair: 1,098,240 in 2,598,960 1 in 2.4 Nothing: 1,302,540 in 2,598,960 1 in 2.0