View Single Post
  #4  
Old 10-02-2005, 01:46 AM
BruceZ BruceZ is offline
Senior Member
 
Join Date: Sep 2002
Posts: 1,636
Default Re: Odds of set-over-set on flop?

[ QUOTE ]
Well since the odds of flopping a set for one player is .11 the odds of 2 doing it would be about .11*.11=.012, but this isn't exactly correct because the second player has slightly better odds. So the correct calculation would be:
C(2,1)*C(2,1)*C(46,1)/C(48,3)=.106 or ~1.1%

Note: that calculation includes the chance that one one person flops a set and one flops quads, if you didn't want that you can replace the number 46 with 44, but the answer would still be the same.

[/ QUOTE ]

You actually double counted each case where one player flops quads and one flops a set. There are only 4 flops that give one player quads and the other player a set. To include these, the expression is (2*2*44 + 4)/C(48,3) =~ 1.04%.
Reply With Quote