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

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Assume that the car lot contains 40 percent Aston Martins, 20 percent Altimas, and 40 percent Fords. Of the Aston Martins, 60 percent have navigation systems, 90 percent of the Altimas have navigation systems, and 80 percent of the Fords have navigation systems. Furthermore, 40 percent of the Aston Martins, 60 percent of the Altimas, and 70 percent of the Fords 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 Aston Martin? 

 

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