The same two pieces, X and Y, are generated by Machines A, B, and C. Machine A produces 60%, Machine B produces 30%, and Machine C produces 10% of all parts made. In addition, a random sample of a component generated by this company is determined to be an X part. What is the probability that the component came from machine A, B, or C, now that you know it's an X part? • 40% of the parts made by machine A are part X. • 50% of the parts made by machine B are part X. • 70% of the parts made by machine C are part X.

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