A company uses a special screw. The company gets screws from…

A company uses a special screw. The company gets screws from three different Manufacturers. If a screw is defective, it will cause damage in production in company. (Note, that the third column in table has conditional probabilities.)   What the probability of the joint event: a defective screw is made by Manufacturer B. If a screw is found to be defective, what is the probability that it came from Manufacturer C.