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

Question

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

faiqraees · Answer

P(Age<30 l Male)=(P(Age<30)∩P(Male))/P(Male)
P(Age<30 l Male)= 0.4
(P(Age<30)∩P(Male))/P(Male) = 0.4
P(Age<30)∩P(Male) = 0.4 x P(Male)
P(Age<30)∩P(Male) = 0.4 x 0.6
(P(Age<30)∩P(Male) = 0.24

P( Male l Age<30)= (P(Age<30)∩P(Male))/P(Age<30)
P( Male l Age<30)= 0.24/0.7
P( Male l Age<30)= 12/35