The standard poker hands are ranked based on the probability of their being dealt pat in 5 cards from a full 52-card deck. The following table lists the hands in order of increasing frequency, and shows how many ways each hand can be dealt in 3, 5, and 7 cards. Hand 3 cards 5 cards 7 cards ==== ======= ======= ======= Straight Flush 48 40 41,584 Four of a Kind 0 624 224,848 Full House 0 3,744 3,473,184 Flush 1,096 5,108 4,047,644 Straight 720 10,200 6,180,020 Three of a Kind 52 54,912 6,461,620 Two Pair 0 123,552 31,433,400 One Pair 3,744 1,098,240 58,627,800 High Card 16,440 1,302,540 23,294,460 ================================================================= TOTALS 22,100 2,598,960 133,784,560