Bayes Probabilities - Cars With Airbags
Assume that the car lot contains 10 percent Jaguars, 50 percent Volvos, and 40 percent Porches. Of the Jaguars, 70 percent have two airbags, 60 percent of the Volvos have two airbags, and 20 percent of the Porches have two airbags. Furthermore, 70 percent of the Jaguars, 60 percent of the Volvos, and 30 percent of the Porches are white. The property of being white is independent from having two airbags. You are assigned a car at random.
If the car has two airbags and is white, what is the probability that it is a Jaguar?