Решение задачи N3705 теория вероятностей Байеса

3705. Two typists type the text, the first one being twice as fast as the second. The probability that the first typist is mistaken is 0.01, and the second is 0.08. An error was found while reading the text. What is the probability that the first typist did it?

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