Решение задачи N3878 теория вероятностей Байеса

3878. Some product can be processed for random processing at one of three machines with probabilities equal to 0.2; 0.3; 0.5 When processing on the first machine, the probability of marriage is 0.02, on the second machine, 0.03 and on the third machine, 0.05. Find the probability that:
1) the product arrived at the workshop after processing meets the technical conditions;
2) the product was processed on the second machine.

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