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Old 11-15-2005, 10:53 PM
ajmargarine ajmargarine is offline
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Default 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.
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Old 11-16-2005, 10:36 AM
Tom1975 Tom1975 is offline
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Default 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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