Solution of problem N3762 probability theory total prob

Solution of problem N3762 probability theory total prob

3762. The assembly shop received parts from 3 workshops of the enterprise: 20 parts from shop No. 1, 30 - from shop No. 2, 40 - from shop No. 3. The probability of high-quality manufacturing of parts in workshop No. 1 is 0.9, in workshop No. 2 — 0.8, in workshop No. 3 — 0.6. What is the probability that the selected product will be of high quality at random?

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