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?

(In reply to

Solution to part 1 by Tristan)

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**