Решение задачи N3589 теория вероятностей

3589. 40% come from the first machine to the assembly, 30% from the second, 30% from the third. Among the parts of the first automaton, 2% are defective, the second is 1%, and the third is 0.5%. Find the probability that the part turned out to be defective, was made on the third machine.

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