2014 UNCO Math Contest II Problems/Problem 7
Revision as of 17:15, 19 October 2014 by Timneh (talk | contribs) (moved 2014 UNC Math Contest II Problems/Problem 7 to 2014 UNCO Math Contest II Problems/Problem 7: disambiguation of University of Northern Colorado with University of North Carolina)
Problem
The Caterpillar owns five different matched pairs of socks. He keeps the ten socks jumbled in random order inside a silk sack. Dressing in the dark, he selects socks, choosing randomly without replacement. If the two socks he puts on his first pair of feet are a mismatched pair and the two socks he puts on his second pair of feet are a mismatched pair, then what is the probability that the pair he selects for his third set of feet is a mismatched pair?
