Solution of problem N3701 probability theory total prob

Solution of problem N3701 probability theory total prob

3701. Two automatic machines produce the parts entering the assembly shop. The probability of getting a marriage on the first machine is 0.05; on the second - 0.02. The performance of the second machine is four times the performance of the first. Find the probability that a piece taken at random will be defective.

Additional information:

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