Question

A car lot has both used and new cars. If 86% of the cars on the lot are new and 45% of the cars are new and have a sunroof, find the probability of randomly choosing a car with a sunroof, given that it is a new car

Answer 1

0.523

Explanation:

Let :

New car = N

Sunroof = S

P(N) = 0.86

P(N n S) = 0.45

Recall :

P(A|B) = p(AnB) / p(B)

Therefore ;

P(S|N) = P(SnN) / p(N)

P(S|N) = 0.45 / 0.86

P(S|N) = 0.523