Possible Poker Hands in a 52-card Pack

(Taken from The New Complete Hoyle (1991), p. 39)


Straight Flush (including 4 Royal flushes) 40
Four of a Kind 624
Full House 3,744
Flush 5,108
Straight 10,200
Three of a Kind 54,912
Two Pairs 123,552
One Pair (84,480 of each, aces to deuces) 1,098,240
No Pair:
Ace High 502,860
King High 335,580
Queen High 213,180
Jack High 127,500
Ten High 70,380
Nine High 34,680
Eight High 14,280
Seven High 4,080
 
Subtotal (no pair): 1,302,540
Total 2,598,960


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