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45% of the products produced in a factory are produced in machine A, 30% in machine...

45% of the products produced in a factory are produced in machine A, 30% in machine B and the rest in machine C. During production, 15% of the products in the machine A, 20% and 10% of the products in the B and C machine respectively are out of order. A piece taken from production was found to be defective. What is the probability that this part was produced by the C machine?
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