Assume that the car lot contains 30 percent Volvos, 45 percent Chevrolets, and 25 percent Corvettes. Of the Volvos, 40 percent have navigation systems, 10 percent of the Chevrolets have navigation systems, and 80 percent of the Corvettes have navigation systems. Furthermore, 50 percent of the Volvos, 30 percent of the Chevrolets, and 40 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 Volvo?