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2021 AMC Fall 10A Problem 13

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2021 AMC Fall 10A Problem 13AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 3 of 5 · about 4 min · position P11-15

Each of 66 balls is randomly and independently painted either black or white with equal probability. What is the probability that every ball is different in color from more than half of the other 55 balls?

  1. A)

    164\frac{1}{64}

  2. B)

    16\frac{1}{6}

  3. C)

    14\frac{1}{4}

  4. D)

    516\frac{5}{16}

  5. E)

    12\frac{1}{2}

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