document.write( "Question 382737: I'm working on a homework assignment from my Topics in Mathematical Reasoning class and I've got an answer to this question, but there's no way for me to check the answer I have.\r
\n" ); document.write( "\n" ); document.write( "The question is:
\n" ); document.write( "A full house in poker consists of three of one kind and two of another kind in a five-card hand. For example, if a hand contains three Kings and two 5's, it is a full house. If 5 cards are dealt at random from a standard deck of 52 cards, without replacement, determine the probability of getting three Kings and two 5's.\r
\n" ); document.write( "\n" ); document.write( "My answer is 1/108,290
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Algebra.Com's Answer #271156 by richard1234(7193)\"\" \"About 
You can put this solution on YOUR website!
We should first compute the number of five-card full houses with three Kings and two 5's. This number is just 4C3*4C2 = 4*6 = 24.\r
\n" ); document.write( "\n" ); document.write( "There are 52C5 possible hands in poker, so the probability is 24/(52C5) = 1/108290.
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