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2017 AMC 10B Problem 9

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2017 AMC 10B Problem 9AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 2 of 5 · about 3 min · position P1-10

A radio program has a quiz consisting of 33 multiple-choice questions, each with 33 choices. A contestant wins if he or she gets 22 or more of the questions right. The contestant answers randomly to each question. What is the probability of winning?

  1. A)

    127\frac{1}{27}

  2. B)

    19\frac{1}{9}

  3. C)

    29\frac{2}{9}

  4. D)

    727\frac{7}{27}

  5. E)

    12\frac{1}{2}

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