Solution of problem N4262 probability theory total prob

Solution of problem N4262 probability theory total prob

4262. In the city of N there are three factories producing automobile tires. The first factory produces - 30% of these tires, the second - 45%, the third - 25%. The first factory produces 3% of defective tires, the second - 6%, the third - 1%. Find the likelihood that a tire accidentally purchased at a store will not be defective.

Additional information:

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