Question

The probability of a randomly selected employee of a company being male is 60%. The probability of the employee being less than 30 years is 70%. If the probability of the employee being less than 30 years old given that the employee is a male is 40%, what is the probability that th
employee is a male, given that the employee is less than 30 years old?

Answer 1

Answer:

34%

Step-by-step explanation:

Conditional probability is:

P(A given B) = P(A and B) / P(B)

P(<30 given male) = P(<30 and male) / P(male)

0.40 = P(<30 and male) / 0.60

P(<30 and male) = 0.24

P(male given <30) = P(male and <30) / P(<30)

P(male given <30) = 0.24 / 0.70

P(male given <30) ≈ 0.34