Решение задачи N3911 теория вероятностей Байеса

3911. At the bolts factory, the first machine produces 25%, the second - 35%, the third - 40% of all products. In their products, the defect is respectively 5%, 4%, 2%. A random bolt turned out to be defective. What is the probability that it is made on the third machine?

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