DAVID G. SIMPSON

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POKER HANDS

This table shows the number of possible hands of five-card poker (with no wild cards), out of a total of 2,598,960 possible distinct hands. Hands are ranked from highest to lowest in value. Odds shown are the odds of being dealt the given hand (before replacement cards).

 Hand  Count  Odds 
 Royal flush  4  649,739 : 1 
 Straight flush  36  72,192 : 1 
 Four of a kind  624  4164 : 1 
 Full house  3744  693 : 1 
 Flush  5108  508 : 1 
 Straight  10,200  254 : 1 
 Three of a kind  54,912  46 : 1 
 Two pair  123,552  20 : 1 
 One pair  1,098,240  1.4 : 1 
 Runt  1,302,540  1.0 : 1 


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Copyright © 2006 David G. Simpson

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Page last updated: July 4, 2012.