Question

Algebra 2 class of 21 students, 6 of them play basketball and 10 of them play baseball. There are 7 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answer 1

According to the Venn diagram that I made, where I called the intersection x

(6-x) + x + (10-x) + 7 = 21
x = 2

so prob(play both) = 2/21

Answer 2

2/21

Answer 3

In a certain Algebra 2 class of 28 students, 9 of them play basketball and 17 of them play baseball. There are 6 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball