View Single Post
  #10  
Old 07-26-2004, 05:44 AM
Precision1C Precision1C is offline
Junior Member
 
Join Date: Jul 2004
Posts: 25
Default Re: What\'s the probability that the flop missed everyone?

You hold 22 flop is K73. The odds of your opponent holding a pocket pair is 5.51% so the odds of neither holding a pocket pair is 89.3%. The odds of none of the 4 outstanding hole cards being a K73 are C(38,4) divided by C(47,4)= 41.4%. (note: slight inaccuracy since I am counting cases of pocket pairs in both the numerator and denominator) 89.3% times 58.6%=52.3%

So you are beat by a pocket pair 10.3% of the time, with a small chance of tying versus 22, and beat by a flopped pair 52.3% when there are no pocket pairs. You are holding the best hand 100-52.3-10.3=37.5% of the time versus 2 random hands. Note: Your actual odds might be improved since neither the button or small blind elected to raise preflop eliminating most pocket pairs and several combinations with kings.
Reply With Quote