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2025 AMC 10A Problem 16

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2025 AMC 10A Problem 16AMC 10 Step by Step
Name:                             Date: September 13, 2026
Expected Value · difficulty 3 of 5 · about 4 min · position P16-20

There are three jars. Each of three coins is placed in one of the three jars, chosen at random and independently of the placements of the other coins. What is the expected number of coins in a jar with the most coins?

  1. A)

    43\frac{4}{3}

  2. B)

    139\frac{13}{9}

  3. C)

    53\frac{5}{3}

  4. D)

    179\frac{17}{9}

  5. E)

    22

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