Solution of problem N3898 probability theory total prob

Solution of problem N3898 probability theory total prob

3898. Three machines for a common conveyor make parts. The performance of the first, second and third are assessed as 5: 2: 3. The probability of manufacturing a defective part for the first machine is 0.03, for the second - 0.02, for the third - 0.01. Find the probability that a randomly taken part is standard.

Additional information:

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