Question

15% of the students play basketball and 4% of the students play baseball and basketball.What is the probability that a student plays baseball given that he or she plays basketball

Answer 1

4/15 ≈ 0.2667

Explanation:

The conditional probability formula applies.

P(A|B) = P(AB)/P(B)

P(plays baseball | plays basketball) = P(plays both)/P(plays basketball)

P(plays baseball | plays basketball) = 4% / 15%

P(plays baseball | plays basketball) = 4/15 ≈ 0.2667