Question

In a certain Algebra 2 class of 24 students, 16 of them play basketball and 10 of them play baseball. There are 7 students who play both sports. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer 1

Use inclusion–exclusion: |B ∪ S| = 16 + 10 − 7 = 19 students. So the probability is 19/24 (≈ 0.7917).