A system consisting of five independent relays is considered closed if a current can pass from A to B. Let Ei be the event that the ith relay is closed and suppose we know their probabilities, P (Ei) = pi for each i = 1, 2, . . . , 5 (a) Determine the probability in terms of p1, p2, . . . , p5 that the system is closed. (b) What is the probability the system is

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A system consisting of five independent relays is considered closed if a current can pass from A to B.
Let Ei be the event that the ith relay is closed and suppose we know their probabilities, P (Ei) = pi for
each i = 1, 2, . . . , 5
(a) Determine the probability in terms of p1, p2, . . . , p5 that the system is closed.
(b) What is the probability the system is closed if pi = .9 for all i = 1, 2, . . . , 5?

point 1 and 2 in series, 3 and 4 in series while 1,2 and 3, 4 in parrallel and in series with 5 .

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