Morning Socks Routine

Published / by Viktor

Martha has to put on socks before leaving her house in the morning. She has a drawer in her bedroom which contains \(N\) different pairs of socks. Martha starts pulling socks from the drawer one by one, and a soon as she gets a matching pair, she stops and departs for work. Find the expected value \( \mathbb{E}\left( X \right) \) of the number of socks she has to pull every day from her drawer before she can leave her house.

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