Question

Out of 250 applicants for a job, 140 are female and 30 are female and have a graduate degree. Step 2 of 2 : If 57 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree? Express your answer as a fraction or a decimal rounded to four decimal places.

Answer 1

It is given that total number of applicants = 250

Now, it is given that the number of females = 140

Among those 140 females, 30 females have a graduate degree.

Now, among those 250 applicants, 57 applicants have a graduate degree in which 30 of them are female.

Thus, the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree is,

P(applicant is female given she has a graduate degree)

= 30/57 = 0.5263

Thus, the required probability is 0.5263.