Consider the system of components connected as in the accompanying picture. Components 1 and 2 are connected in parallel, so that subsystem works if and only if either 1 or 2 works; since 3 and 4 are connected in series, that subsystem works if and only if both 3 and 4 work. If components work independently of one another and P(component i works) = 0.73 for i = 1, 2 and = 0.65 for i = 3, 4, calculate P(system works). (Round your answer to four decimal places.)

Revelant knowledge

Independent Events: The probability of either in the events, A and B, which are distinct from each other is not dependent on the event that occurs both. Probability P(AB) is calculated by multiplying the probabilities that are independent of B and A.