Solving problem N3961 Bayesian probability theory

Solving problem N3961 Bayesian probability theory

3961. The store receives light bulbs manufactured at two plants, with the first plant supplying 60% of the total number of light bulbs. The products of the first plant contain 10% of the scrap, the second - 15%. What is the probability that a standard lamp purchased at the store is made at the second factory?

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