A certain article can be produced in 3 factories, A, B and C. It is known...

 

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A certain article can be produced in 3 factories, A, B and C. It is known that the first produces the twice as many articles as the second, and that the second and third produce the same number of articles. The percentage of defective products manufactured by machines A, B and C is 2%, 4% and 1% respectively. a) Choosing an item at random, determine the probability that it is defective. b) Find the probability that a randomly chosen item that turns out to be defective has been made in factory B. A certain article can be produced in 3 factories, A, B and C. It is known that the first produces the twice as many articles as the second, and that the second and third produce the same number of articles. The percentage of defective products manufactured by machines A, B and C is 2%, 4% and 1% respectively. a) Choosing an item at random, determine the probability that it is defective. b) Find the probability that a randomly chosen item that turns out to be defective has been made in factory B.