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Old 07-20-2003, 11:16 PM
TPS_Reports TPS_Reports is offline
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Join Date: Jul 2003
Location: Peoria, IL
Posts: 3
Default Re: Calculations from \"The Theory of Poker\"

Now that you've sparked my curiousity, I was trying to figure out some non-poker related problems. This problem is from:

http://probabilitynet.com/problems.htm

there are four red ladybugs, four green lady bugs, and four yellow ladybugs. Upon closer examination I see that one of the red lady bugs has one spot, another has two spots, the third has three spots, and the fourth has four spots. The same is also the case for the green and yellow ladybugs.

All of a sudden, five of these ladybugs fly through my open window and take up residence on my Creeping Charlie. What is the probability that three of them have the same number of spots, and two others also have the same number of spots but a different number of spots than the first three ladybugs have?

How would you think this through and set it up? The answer is 4.5% BTW.

Thanks again.
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