What is the probability that a person from this city who com

What is the probability that a person from this city who completes college is a graduate of a private high school?

A. .10

B. .15

C. .08

D. .80

E. .18

Solution

This is a conditional probability question. We will solve this using the Baye\'s theorem.

P(graduate of private high school | completes college ) = (0.8*0.1)/(0.8*0.1+0.5*0.9) = 0.15

thus B is the correct option.