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2020 AMC 10B Question 11

AMC10 · 2020 AMC 10B

Question 11

Ms. Carr asks her students to read any $5$ of the $10$ books on a reading list. Harold randomly selects $5$ books from this list, and Betty does the same. What is the probability that there are exactly $2$ books that they both select?
  1. $\dfrac{1}{8}$
  2. $\dfrac{5}{36}$
  3. $\dfrac{14}{45}$
  4. $\dfrac{25}{63}$
  5. $\dfrac{1}{2}$