A system consists of two independent components in parallel. The system works if at least one of the components works. If each component works with probability 0.65, what is the probability that the system works

The probability that the system works is 87.75%.

Step-by-step explanation:

Given that a system consists of two independent components in parallel, and the system works if at least one of the components works, if each component works with probability 0.65, to determine what is the probability that the system works the following calculation must be performed:

1 - 0.65 = 0.35

0.35 x 0.35 = X

0.1225 = X

1 - 0.1225 = 0.8775

Therefore, the probability that the system works is 87.75%.