Solution of problem N3943 probability theory total prob

Solution of problem N3943 probability theory total prob

3943. Watches are made in three factories and go to the store. The first plant produces 40% of products, the second - 45%, the third - 15%. In the production of the first plant, 20% of hours rush, the second - 30% and the third - 10% rush. Find the probability that the purchased watch is in a hurry.

Additional information:

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