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2025 AMC 10B Problem 22

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2025 AMC 10B Problem 22AMC 10 Step by Step
Name:                             Date: September 13, 2026
Conditional Probability & States · difficulty 4 of 5 · about 6 min · position P21-25

A seven-digit positive integer is chosen at random. What is the probability that the number is divisible by 1111 , given that the sum of its digits is 61?61?

  1. A)

    314\frac{3}{14}

  2. B)

    311\frac{3}{11}

  3. C)

    27\frac{2}{7}

  4. D)

    411\frac{4}{11}

  5. E)

    37\frac{3}{7}

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