Solving problem N3636 Bayesian probability theory

Solving problem N3636 Bayesian probability theory

3636. Three workers produce the same parts. The productivity of their labor is referred to as 2: 5: 1. The first releases defective parts with a probability of 0.05, the second with a probability of 0.15, the third with a probability of 0.1. What is the probability that a piece taken at random, turned out to be defective, is made by a third worker?

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