These days with the cost of a college education it is important to be able to graduate with a bachelors degree in 4 years. The National Association of Independent Colleges and Universities (NAICU) certainly would encourage students to attend independent schools. They provided the following information:

(i) 20% of all college students attend private colleges and universities.

(ii) 55% of all college students graduate in 4 years.

(iii) 79%

of students attending private colleges and universities graduate in 4 years.

What is the probability that a randomly chosen student attended a private school and graduated in 4 years?

.55 / .79 = .6962

.20 / .55 = .3636

.20 / .79 = .2532

.55 * .79 = .4345

.20 * .55 = .11

.20 * .79 = .158