April 28, 2015

Problem of the Week

for Tuesday, April 28, 2015

Ben has 3 pairs of socks. One pair is black, one pair is white, and the third pair is red. The six socks are placed at random in his drawer. On Monday morning he reaches into the drawer in the dark, grabs two socks, and wears an unmatched pair. On Tuesday morning he reaches into the drawer in the dark, grabs another two socks, and wears another unmatched pair. On Wednesday morning he reaches in to the drawer and grabs the two remaining socks which happen to match. What are the chances that the first time he wears a matching pair is in fact on the Wednesday?

Winners of the sock challenge