Solving problem N3737 Bayesian probability theory

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3737. On the first machine, 20 parts were processed, 7 of them with a defect, 30 parts on the second, 4 of them are with defects, 50 are on the third, 10 of which are with defects. All parts are piled together. A piece taken at random was free from defects. What is the probability that it is processed on the third machine?

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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