Решение задачи N3923 теория вероятностей Байеса

3923. Two factories produce the same products, the first one giving 80%, and the second 20%. Marriage of the first plant is 3%, the second - 12%. The sample taken at random turned out to be defective. What is the probability that it is made at the second plant?

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