Solution of problem N3854 probability theory total prob

Solution of problem N3854 probability theory total prob

3854. Gear assembly comes from three machines. The first machine gives 15%, the second 45%, the third 40% gears. The first machine allows 2% of the marriage, the second 3%, the third 4%. Find the probability that the part received for assembly will be defective.

Additional information:

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