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Old 07-21-2003, 12:23 AM
BruceZ BruceZ is offline
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Join Date: Sep 2002
Posts: 1,636
Default Re: Calculations from \"The Theory of Poker\"

Well, there are 4 ways to pick the 3 numbers that will be the same, and then there are 3 ways to pick the 2 numbers that will be the same, times 3 ways to pick which of the 3 colors will have the 2 numbers that are the same (one of the 3 colors gets left out). Divide all this by the total number of ways to pick the 5 ladybugs out of 12 total lady bugs which is C(12,5) = 12*11*10*9*8/5*4*3*3*1 = 792. So altogether we have:

4*3*3/792 = 4.5%.
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