In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

2 answers

In a certain Algebra 2 class of 27 students, 11 of them play basketball and 13 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
If by "basketball or baseball" you mean either or both, then clearly that is 27-5 = 22, so 22/27
If you mean ONLY basketball or baseball, but not both, then if x play both, you have
11+13-x = 27-5
x = 2
So P(exactly one sport) = 20/27