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Answer to Question #1886 in Statistics and Probability for ilia

Question #1886
There are ten different pairs of socks, you take out 6 socks, what is the probability that you will be left with 7 whole pairs, the probability that you'll be left with 4 pairs?
1
Expert's answer
2011-03-16T06:24:39-0400
The probability that you will be left with 7 whole pairs is equal to the probability that you take 3 whole pairs :
P = C310 / C620
The probability that 4 pairs will be left is
P = 26 C610 / C620.

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