Solution of problem N3855 probability theory total prob

Solution of problem N3855 probability theory total prob

3855. Gear assembly comes from three machines. The first machine gives 20%, the second - 30%, the third - 50% gears. The first automatic machine allows 0.2% of marriage, the second - 0.3%, the third - 0.4%. Find the probability of receipt of the assembly of defective gear.

Additional information:

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