among the 100 fords that a showroom has, 60 are old. it also has a mixed collection of nissans and fiats. the dealer has decided to sell each of the cars at a flat price independent of the model or make. he just chooses a car at random and sell it to the next walking in customer at the flat price. assume that the probability that a new car is chosen given that its a fiat and nissan are .75 and .6 respectively. also the probability that an arbitrarily chosen car is a ford and nissan are 0.2 and 0.4 respectively. now, what is the probability of you getting a ford given that it is a new car.