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Richard Walker

A Problem With Socks

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In my sock drawer I have some pairs of socks. Each pair is a different colour from every other pair but otherwise the socks are all identical. Originally they were in neat matching pairs but now they are all jumbled up.

Suppose I pull socks out one at a time, with my eyes closed, until the draw is empty. How may times can I expect two consecutive socks to be the same colour?


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