In a management trainee program 80 percent of the trainees a

In a management trainee program, 80 percent of the trainees are female, 20 percent male. Ninety percent of the females attended college, 75 percent of the males attended college. A management trainee is selected at random.

1. If the person selected attended college, what is the likelihood that person is a female?

2. If the person selected attended college, what is the likelihood that person is a male?

Solution

Total female in the trainee program=80%=0.08

Total percent of female attend the college=90%=0.09

Total male in the trainee program=20%=0.02

Total percent of male attend the college=75%=0.75

The likelyhood that a person is female is=(0.80)*(0.90)=0.72=72%

The likelyhood that a person is male is=(0.20)*(0.75)=0.15=15%