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A supplier purchases 30% of its parts from the factory A, 50% of its parts from the factory B, and the remainder from the factory

A supplier purchases 30% of its parts from the factory A, 50% of its parts from the factory B, and the remainder from the factory C. Seven percent of As parts are defective, 5% of Bs parts are defective, and 8% of Cs parts are defective.

What is the probability that the selected defective part was produced in the factory C ?

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