Решение задачи N3716 теория вероятностей Байеса

3716. Two punchers stuffed on different punchers on the same set of punched cards. The probability that the first puncher made a mistake is 0.15, the second 0.1. What is the probability that when checking at random the punched card turned out to be with an error? What is the probability that this punch card was stuffed with the first puncher?

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