Solution of problem N3811 probability theory total prob

Solution of problem N3811 probability theory total prob

3811. Two machines produce parts that are fed to a common conveyor. The probability of receiving defective parts on the first machine - 0.04, on the second - 0.05. The performance of the second machine is twice the performance of the first. Find the probability that a piece taken from the conveyor is unbroken.

Additional information:

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