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-   -   HU--both players flopping a flush (http://archives2.twoplustwo.com/showthread.php?t=379257)

ajmargarine 11-15-2005 10:53 PM

HU--both players flopping a flush
 
In a Heads-Up HE match, you hold 2 suited cards. What is the probability that when you flop a flush your opponent holds two cards of the same suit? Thank you.

Tom1975 11-16-2005 10:36 AM

Re: HU--both players flopping a flush
 
There are 47 unknown cards and eight remaining of the flush suit. There are C(8,2) combinations which contain two of the remaing flush cards and C(47,2) total combinations, so the answer is C(8,2)/C(47,2)=2.59%. This of course assumes your opponent holds a random hand. In praticality, since people are more likely to play a suited hand over a non-suited one, I would think the real odds would be slightly higher.


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