A used car dealer sells SUVs and cars. Of all the vehicles, 85% are cars. Of all the vehicles, 32% are red cars. What is the probability that a car chosen at random is red?

Answer 1

The probability that two independent events occur together is the product of their individual probabilities, but we are not looking for a red car to be chosen at random, the problem already specifies that it is a car.

So we are told that the probability that any vehicle chosen at random is red, regardless of whether it is a car or a SUV is 32%. So 32% is the probability the problem is asking: that when a car is chosen, that it is red.