At a local college 45 of the students live on campus Of thos

At a local college, 4/5 of the students live on campus. Of those who live on campus, 25% have cars on campus. Find the probability that a student lives on campus and has a car.

Solution

Let A be the event that the students live on campus and B be the even tthat the students have car.

Given: P(A) = 4/5 and P(B/A) = 25% = 25/100 = 1/4

By conditional probability,

P(A) and P(B) = P(A) x P(B)

                     = 4/5 x 1/4

                     = 1/5

The probability that a student lives on compus and has car is 1/5.