The probability of uninterrupted operation of the first machine within an hour is = 0.75, and the second = 0.8.

The probability of uninterrupted operation of the first machine within an hour is = 0.75, and the second = 0.8. What is the likelihood that only one machine will malfunction within an hour if the machines are operating independently of each other?

To solve this problem, we will perform the following actions:

Consider two cases, in one the first does not work in the second and the second.
In the first case, the probability of the first work is 0.75, and not the work of the second 0.2, that is, the probability of such an event is 0.15.
In the second case, the probability of the second work is 0.8, and not the work of the first 0.25 = the probability of such an event is 0.2.
The total sought probability is 0.35.
Answer: 0.35.