Решение задачи N3731 теория вероятностей Байеса

3731. Parts from three machines arrived at the warehouse. The first machine made 50% of the parts from their total number, the second - 30% and the third - 20%, and the first machine produced 85% of the first-class parts, the second - 80% and the third - 75%. Taken detail standard. What is the probability that it is made on the first machine?

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