If the car has a navigation system and is silver, what is the probability that it is a Porche?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Rework problem 20 from section 3.4 of your text, involving silver rental cars with navigation systems. Assume that the car lot contains 25 percent Porches, 45 percent Volvos, and 30 percent Corvettes. Of the Porches, 60 percent have navigation systems, 90 percent of the Volvos have navigation systems, and 40 percent of the Corvettes have navigation systems. Furthermore, 50 percent of the Porches, 30 percent of the Volvos, and 80 percent of the Corvettes are silver. The property of being silver is independent from having a navigation system. You are assigned a car at random.

If the car has a navigation system and is silver, what is the probability that it is a Porche? 

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