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?
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Bonus: what would the answer be if the drawer contained between 100 and 1000 socks?

A lot of people seemed to reply to my comment.  It was my mistake.  I didn't notice that they had added that there's at least one pair of each color.

Posted by Tristan on 2004-09-02 18:42:30