Question

In a certain Algebra 2 class of 28 students, 16 of them play basketball and 15 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?

Answer 1

20/28 = 5/7

Explanation:

Step 1 :

Total number of students in the algebra class is 28

Given that the number of students who play neither sport = 8

Step 2 :

Probability that a student randomly chosen does not play any sport is obtained by number of students who play neither sport/ total number of students

Hence probability is 8/28

Step 3 :

The probability that a student randomly chosen plays either basketball or base ball = 1 - 8/28 = 20/28 = 5/7