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A factory production line is manufacturing bolts using three machines, A, B and C. Of the...

A factory production line is manufacturing bolts using three machines, A, B and C. Of the total output, machine A is responsible for 25%, machine B for 35% and machine C for the rest. It is known from previous experience with the machines that 5% of the output from machine A, 4% from machine B and 2% from machine C is defective. A bolt is chosen at random from the production line and found to be  non - defective. What is the probability that it came from machine A?

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