In a management trainee program,80% of the trainees are female,while 20% are male. Ninety percent of the females attended college; 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a male who did NOT attend college?
A)0.044
B)0.440
C)0.256
D)0.801

Question

Quizplus · Accepted Answer

We use the formula for conditional probability:

P(Male AND Did Not Attend College) = P(Male) * P(Did Not Attend College | Male)

P(Male) = 0.20 (given)
P(Did Not Attend College | Male) = 1 - P(Attended College | Male) = 1 - 0.78 = 0.22

Therefore, P(Male AND Did Not Attend College) = 0.20 * 0.22 = 0.044

In a Management Trainee Program,80% of the Trainees Are Female,while