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) = 0.82 for i = 1, 2 and = 0.65 for i = 3, 4, calculate p(system works). (round your answer to four decimal places.)