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MathNet 2007-part-03 — 185 problems (EN–VI) Question 119

Math Olympiad Vault · MathNet 2007-part-03 — 185 problems (EN–VI)

Question 119

Forty two cards are labeled with the natural numbers $1$ through $42$ and randomly shuffled into a stack. One by one, cards are taken off of the top of the stack until a card labeled with a prime number is removed. How many cards are removed on average?