AMC 10 Step by Step
Log inSign up
Printable

2020 AMC 10B Problem 11

Include the solutionBack to the problem
2020 AMC 10B Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Basic Probability · difficulty 3 of 5 · about 3 min · position P11-15

Ms. Carr asks her students to read any 55 of the 1010 books on a reading list. Harold randomly selects 55 books from this list, and Betty does the same. What is the probability that there are exactly 22 books that they both select?

  1. A)

    18\frac{1}{8}

  2. B)

    536\frac{5}{36}

  3. C)

    1445\frac{14}{45}

  4. D)

    2563\frac{25}{63}

  5. E)

    12\frac{1}{2}

Working