probability

3. Three different machines M1, M2, M3 are used to produce similar electronic components. Machines M1, M2,M3 produce 20%, 30%, and 50% of the components respectively. It is known that the probabilities that the machines produce defective components are 1% for machine M1, 2% for M2, and 3% for machine M3. If a component is selected randomly from a large batch, and that component is defective, find the probability that it was produced: a) By M2 and b) By M3