Consider a system of two components connected as shown in th

Consider a system of two components, connected as shown in the diagram below. Suppose that the components function independently, and that the probabilities of FAILURE are 0.05 for A and 0.10 for B.

Find the probability that the system FUNCTIONS.

Solution

P(system functions) = P(A function or B function) = 1 - P(A fails and B fails) = 1 - 0.05 * 0.1 = 0.995