Crazy Hand I had Two nights ago!!

[evans075]

I was playing with some of my Fraternity Brothers two nights ago and the first hand of the game I was delt KK It was raised in front of me where I reraised. One call and the original raiser who I belived to be simi-loose, reraised me. I promptly Pushed to be called by both people. And guess what they both had!! Yep good ol Rockets. So what would the Probability of Two people holding Aces, another with Kings, in a 10 man cash game?

[BruceZ]

[ QUOTE ]
I was playing with some of my Fraternity Brothers two nights ago and the first hand of the game I was delt KK It was raised in front of me where I reraised. One call and the original raiser who I belived to be simi-loose, reraised me. I promptly Pushed to be called by both people. And guess what they both had!! Yep good ol Rockets. So what would the Probability of Two people holding Aces, another with Kings, in a 10 man cash game?

[/ QUOTE ]

By inclusion-exclusion:

C(10,3)*6*6*3/C(52,2)/C(50,2)/C(48,2) -
C(10,4)*6*6*C(4,2)/C(52,2)/C(50,2)/C(48,2)/C(46,2)

=~ 1 in 141,858.

[evans075]

Thanks alot man.