Solving problem N3640 Bayesian probability theory

Solving problem N3640 Bayesian probability theory

3640. The products made by three workers came to the Quality Controller, the first provided 30 products, the second - 25 and the third - 35. The probability of marriage for the first worker is 0.1; for the second - 0.2; for the third - 0.15. At random, the chosen product turned out to be defective. What is the probability that it is made by the second worker?

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

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