The probability of a randomly selected employee of a company being male is 60%.

Question

The probability of the employee being less than 30 years old 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 the employee is a male, given that the employee is less than 30 years old?

A. 

0.34

B. 

0.42

C. 

0.55

D. 

0.69

E. 

0.71

Answer 1

Event A = less than 30 (.0.7)

Event B = male (0.6)

P(A|B) = 0.4

P(B|A) = P(A and B)/P(A) = P(A|B)P(B)/P(A) = 0.4 * 0.6 / 0.7 = 0.34