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2025 AMC 10B Problem 11

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2025 AMC 10B Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 3 of 5 · about 4 min · position P11-15

On Monday, 66 students went to the tutoring center at the same time, and each one was randomly assigned to one of the 66 tutors on duty. On Tuesday, the same 66 students showed up, the same 66 tutors were on duty, and the students were again randomly assigned to the tutors. What is the probability that exactly 22 students met with the same tutor both Monday and Tuesday?

  1. A)

    116\frac{1}{16}

  2. B)

    316\frac{3}{16}

  3. C)

    14\frac{1}{4}

  4. D)

    38\frac{3}{8}

  5. E)

    12\frac{1}{2}

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