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Old 07-15-2005, 06:36 PM
llamaoo7 llamaoo7 is offline
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Join Date: Nov 2004
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Default Re: An Example from my Probability Class I Need Help w/

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A deck of 52 cards is divided into two equal sets randomly. What is the probability that each set contains 13 red cards?
26_C_13 * 13_C_13 = # of ways the deck can be split with 13 red cards for each set

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This is the probability if you only have a stack of 26 red cards to divde up. But what about the black cards? Your answer gives the number of ways for 13 red cards in each stack but you need to multiply by another 26_C_3, I believe. Seems like you might need to divide by 2 incase each stack isn't unique.
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