Re: Odds to beat a crowd
I agree with SunofBeach and WhiteWolf, except that I would say more strongly that I can think of no Poker situation in which this computation is relevant. Even if the hands themselves are close to independent, as in games without community cards, your chance of beating other players will almost always be highly dependent.
In any actual situation, I would expect your probability of beating everyone to be different (usually higher) than your calculation.
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