In a certain assembly plant, three machines B1, B2 and B3 make 30%, 45% and 25%respectively of the products. It is known from past experience 2%, 3% and 2% of the products made by each machine respectively are defective. Now suppose that a finished product is randomly selected. What is the probability that it is defective? If a product was chosen randomly and found to be defective, what is the probability
that it was made by machine B3
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