You are in a pitch black room and need to get a pair of socks out of your drawer which can contain up to 100 socks. In the drawer is a mixture of black and white socks, and there's at least one pair of either color. If you choose two socks, the chance that you draw out a black pair is 2/3.
What is the chance that you draw out a white pair?
Bonus: what would the answer be if the drawer contained between 100 and 1000 socks?
(In reply to Solution to part 1
I found three solutions, for increasing number of socks, and the probability of a white pair is always about 1/33.
Edited on September 1, 2004, 8:59 pm