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MathNet 2008-part-05 — 164 problems (EN–VI) Question 28

Math Olympiad Vault · MathNet 2008-part-05 — 164 problems (EN–VI)

Question 28

Sandra the Maverick has 5 pairs of shoes in a drawer, each pair a different color. Every day for 5 days, Sandra takes two shoes out and throws them out the window. If they are the same color, she treats herself to a practice problem from a past HMMT. What is the expected value (average number) of practice problems she gets to do?