Question

In a certain Algebra 2 class of 24 students, 6 of them play basketball and 7 of them play baseball. There are 13 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer 1

P(basketball or baseball) = 11/24

Explanation:

You want the probability that a randomly chosen student plays either sport, given the probability that 13 of the 24 students plays neither sport.

Complement

The probability that a student plays at least one (of the two) sports is the complement of the probability they play neither sport. If 13 of 24 students play neither sport, then (24-13)/24 = 11/24 must play at least one of the two sports.

P(basketball or baseball) = 11/24

__

Additional comment

6+7-11 = 2 students play both sports.

<95141404393>