Solution of problem N3810 probability theory total prob

Solution of problem N3810 probability theory total prob

3810. The conveyor receives parts from two CNC machines. The performance of the first machine is 2 times the performance of the second. The probability of marriage on the first machine 0.01, on the second machine 0.02. Find the probability that a piece taken at random is standard.

Additional information:

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