Answer to Question #1886 in Statistics and Probability for ilia
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?
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.