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 female who attended college?

 0.72

Step-by-step explanation:

Let A be the event that denotes that trainees are females and B denotes the event that the trainees attended college.

Given : The probability that the trainees are female : P(A) = 0.8

The probability that females attended college : P(B|A) =0.90 [Conditional probability]

Now, the probability that the person selected is a female who attended college is given by :-

Hence, the probability that the person selected is a female who attended college = 0.72