Solution of problem N3589 probability theory

Solution of problem N3589 probability theory

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.

Additional information:

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