In a management trainee program, 80% of the trainees are female, 20% male. A total of 90% of the females attended college, while 78% of the males attended college. A management trainee is selected at random. What is the probability that the person selected is a female who did attend college?
A)0.20
B)0.08
C)0.25
D)0.72

Question

Quizplus · Accepted Answer

We can use the formula for conditional probability:
P(female and college) = P(female) * P(college | female)
P(female and college) = 0.8 * 0.9 = 0.72
Therefore, the probability that the person selected is a female who did attend college is 0.72.

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