Solution of problem N3769 probability theory total prob

Solution of problem N3769 probability theory total prob

3769. The warehouse receives the products of three factories, the first of which produces 40% of all products, the second - 50%, the third - 10%. In the production of the first factory, 80% of products of the highest grade, the second - 50%, the third - 20%. Determine the probability that a product taken at random from the warehouse will be of the highest grade.

Additional information:

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