The admissions office of a private university released the following admission data for the preceding academic year: From a pool of 4,400 male applicants, 30% were accepted by the university, and of these, 50% subsequently enrolled. Additionally, from a pool of 3,600 female applicants, 40% were accepted by the university, and of these, 30% subsequently enrolled. What is the probability that a student who applies for admission will be accepted by the university and subsequently will enroll?
A) 0.3773
B) 0.5919
C) 0.1365
D) 0.1409

Question

Quizplus · Accepted Answer

The probability that a male applicant is accepted and enrolls is 0.30 * 0.50 = 0.15. The probability that a female applicant is accepted and enrolls is 0.40 * 0.30 = 0.12. The overall probability is (4400/8000)*0.15 + (3600/8000)*0.12 = 0.1365.

The Admissions Office of a Private University Released the Following