Solution of problem N3852 probability theory total prob

Solution of problem N3852 probability theory total prob

3852. Gear assemblies are received from three automata: the first gives 25%, the second 30% and the third 45% of the total number of gears. The first automatic machine allows 0.1% of marriage, the second - 0.2%, the third - 0.3%. 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)