Solution of problem N3693 probability theory total prob

Solution of problem N3693 probability theory total prob

3693. Two automatic machines make parts which arrive on the general conveyor. The probability of obtaining a defective part on the first machine is 0.05, on the second 0.06. 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)