Question

The masks supplier "Carrey" receives products from 2 textile factories. Factory A accounts for 40% of the goods and the rest supplied by factory B. Based on experience, 25% of factory A's masks are known to be defective. Factory B Works in 2 shifts around the clock. 70% of the masks are made on the day shift. 10% of these masks are defective. On the night shift, 30% of the masks are defective.
a) Given that a musk turns out to be defective, what is the probability that it was made in factory A?
b) Given that a musk turns out to be defective, what is the probability that it was made on the day shift in factory B?

Answer 1