Solution of problem N3771 probability theory total prob

Solution of problem N3771 probability theory total prob

3771. The warehouse receives the products of three factories, the products of the first factory in the warehouse account for 30%, the second - 32%, and the third - 38%. In the production of the first factory 60% of products of the highest grade, the second - 20%, the third - 50%. Find the probability at random to take a product is a product of the highest grade?

Additional information:

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