HELP! PROBILITY

Question

A car company has three plants, which we will call A, B, and C for ease of reference. If each plant produces one third of the companies cars, and plant A has a 2% chance to make a defective car, and plant B and C have a 1% chance to make a defective car, what is the probability that, if a car is defective, it came from plant A?

Answer 1

Any defective part has .5 probability that it came from plant A, .25 probability that it came from plant B and .25 probability that it came from plant C. So you answer is .5