Thread: odds question
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Old 10-23-2007, 03:02 PM
Ricks Ricks is offline
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Join Date: Nov 2005
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Default Re: odds question

I am not a math expert but I believe this is correct.

If you assume that your five opponents play any King.

There are 47 unseen cards, consisting of 2 Kings and 45 non-Kings. The total number of ways to have 10 hole cards for the 5 opponents is c(47,10). The total number of ways to not have a King in these hole cards is c(45,10).

The probability that someone does not have a King is c(45,10)/c(47,10). 1 - c(45,10)/c(47,10) =~ 0.384 is the probability that someone does have a King.

For four: 1 - c(45,8)/c(47,8) = 1 - 215553195/314457495 =~ 0.315
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