Solution of problem N3803 probability theory total prob

Solution of problem N3803 probability theory total prob

3803. The assembly shop of the plant receives 40% of parts from the 1st shop and 60%; from the 2nd shop. In the 1st workshop, 90% of the parts produced are standard, and in the 2nd - 95%. Find the probability that the part taken by the assembler will be standard.

Additional information:

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