Solving problem N3801 Bayesian probability theory

Solving problem N3801 Bayesian probability theory

3801. Of the 50 parts, 18 were made in the first workshop, 14 in the second, and the rest in the third. The first and third workshops give excellent quality products with a probability of 0.75, the second with a probability of 0.6. Taken part was excellent quality. What is the probability that the part is made in the second workshop?

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