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12/14/2013 7:47:02 PM
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Anyone here crazy good at Probabillity?

As much as I like Math, Probabillity has always been one of the subjects that I struggle to develop an intuitive sense for. It's really something I should sit down and relearn one of these days... Anyways, I have a puzzle to present to anyone who would like to try to solve it. Its solution, or any ideas that could help me reach the solution, would be incredibly helpful for developing an Extra Credit Artificial Intelligence that can play a particular Card Game. Here is the problem: 1) You have a standard card deck with 52 cards, 4 suits, cards 2 through Ace per suit, standard stuff. 2) You are dealt a hand of size N, that contains A 4 of a Kinds, B 3 of a Kinds, C 2 of a Kinds, and D singles. So 4*A + 3*B + 2*C + D = N. 3) Given the hand size N, what is the probability of drawing a particular combination of A, B, C, and D? Assume that your input is always correct (so 4*A + 3*B + 2*C + D = N). That might be phrased awkwardly, so feel free to ask questions if that doesn't make any sense. I couldn't find any easy to use resources to solve it on my own in about 20 minutes of research, and really, anything, even a pointer in the right direction, will help tremendously. Thanks!

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  • Ok - was going to try to ramble my way through an attempt but it's becoming very complex very quickly. Mind clearing up the problem a bit. What is your ultimate goal and perhaps there is an easier way to arrive at a solution. I know this is probably a bit late for implementing the extra credit but willing to give it a shot if you've still got time.

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