Решение задачи N3764 теория вероятностей Байеса

3764. Among the parts arriving at the warehouse, 30% from shop 1, 70% from shop 2. The rejection probability for shop 1 is 0.02, for shop 2 it is 0.03. At random, the taken part turned out to be benign. What is the probability that it is made in workshop 1?

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