Re: Odds house vs. four of a kind
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I think he meant what are the chances of someone having quads when he has a boat. For instance, he has 55 and the board is 577K4, he wants to know the probability someone has 77. I'm not sure exactly how to do this, but I will try it later.
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If you're playing heads up, the probability someone has 7-7 in that scenario is 1/C(45,2) = .10101...%
And if that's the way you want to approach this, the probability of that happening exactly 4 times in 1000 is: ~1.576%. This obviously isn't a reasonable approach but I believe it's the answer he's looking for based on his second post. This assumes you already have the full house, including a third of your card and the board is dealt.
And if you're looking for 4 or more times in 1000 hands, I believe it's ~1.955%.
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