Решение задачи N3708 теория вероятностей Байеса

3708. Two typists typed manuscript. The first printed 1/3 of the entire manuscript, the second - the rest. The probability that the first typist made mistakes is 0.15, for the second 0.1. When checking errors were found. Find the probability that the first typist made a mistake.

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