Solution of problem N3725 probability theory total prob

Solution of problem N3725 probability theory total prob

3725. When a digital electronic machine is in operation, the probability that an in-memory failure will occur in an arithmetic unit, the other devices is a 2: 3: 5 ratio. The probability that a failure in RAM, arithmetic unit and other devices will be detected: 0.9; 0.8 and 0.9. It is necessary to find the probability that a failure arising from the operation of an electronic machine will be detected.

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