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Old 10-11-2005, 06:06 PM
BruceZ BruceZ is offline
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Join Date: Sep 2002
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Default Re: odds of KK QQ 44 flopping set

[ QUOTE ]
Could anyone explain to me how you would calculate the odds of in a 3 handed game with hands: KK, QQ, 44, the flop coming KQ4?

[/ QUOTE ]

46 cards remaining, and 2 of each rank K, Q, 4, so probability of flopping those 3 ranks are:

2/46 * 2/45 * 2/44 * 6 = 1896.5-to-1.

We multiply by 6 since the 3 cards can come in any of 6 orders.


Or, 6/46 * 4/45 * 2/44 = 1896.5-to-1.

That is, 6 ways to choose the first card, 4 ways to pick the second, and 2 ways to pick the third.


Also, 8/C(46,3) = 1896.5-to-1.
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