Solution of problem N3671 probability theory total prob

Solution of problem N3671 probability theory total prob

3671. Three automatic machines make the same type of parts. Their productivity is 5: 3: 2, and standard parts among their products are on average 99%, 98%, 98.5%, respectively. Find the probability that a piece taken at random will be non-standard.

Additional information:

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