Solving problem N3643 Bayesian probability theory

Solving problem N3643 Bayesian probability theory

3643. Three workers make similar products. The first worker made 40 products, the second - 35, the third - 25. The probability of marriage. The probability of marriage in the first worker is 0.05, in the second - 0.03, in the third - 0.04. The product taken at random turned out to be defective. Determine the likelihood that this product made the second worker.

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