Solution of problem N3723 probability theory total prob

3723. The probabilities that during the operation of a digital electronic machine a failure occurs in the arithmetic unit, in the operational memory, in other devices, refer to 3: 2: 5. The probability of detecting a failure in an arithmetic unit, in the RAM, and in other devices, respectively, is 0.8; 0.9; 0.9. Find the probability that a crash occurs in the car will be detected.