A company creates their product using a specially made screw. For financial purposes, the company gets their screws from three different manufacturers. If a screw is defective, it can cause a lot of damage. 40% of screws come from company A, 25% come from company B, and 35% come from company C. Screws have 1% defective rate given that screw from A, 2% defective rate give that screws from B, and 1.5% defective rate given that screws from company c. Required:
If a screw is found to be defective, what is the probability that it came from Manufacturer B?