Solution of problem N3813 probability theory total prob

Solution of problem N3813 probability theory total prob

3813. The worker serves 3 machines on which the same parts are processed. The probability of rejection for the first machine is 0.02, for the second - 0.03, for the third - 0.04. The machined parts are folded in one drawer. The productivity of the first machine is three times more than the second, and the third is two times less than the second. What is the probability that the lucky part will be defective.

Additional information:

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