Solution of problem N4274 probability theory total prob

Solution of problem N4274 probability theory total prob

4274. Two factories produce the same glass for car headlights. The first factory produces 70% of these glasses, the second - 30%. The first factory produces 5% of defective glasses, and the second - 4%. Find the likelihood that a glass accidentally purchased in a store will be defective.

Additional information:

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