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Ashton has a bag of marbles with 3 blue marbles, 3 white marbles, and 6 red marbles. Find the following probabilities of Ashton drawing the given marbles from the bag if the first marble(s) is(are) returned to the bag after they are drawn. a) A Blue, then a red = b) A red, then a white = c) A Blue, then a Blue, then a Blue =Event A occurs with probability 0.35. Event B occurs with probability 0.49. Events A and B are independent. Find: a) P(An B) b) P(AU B) c) P(A | B) d) P(A* U B)Event A occurs with probability 0.11. Event B occurs with probability 0.275. Events A and B are mutually exclusive. Find: a) P(An B) b) P(A U B) c) P(A | B) d) P(AUB) e) P(An B" )You are given the following diagram of an electrical network. A C IN - OUT E B D There are 5 components: A, B, C, D, and E. The probability that each component works is: P(A) = 0.91 P(D) = 0.66 P(B) = 0.77 P(E) = 0.71 P(C) = 0.9 Assuming that each component fails independently of the others, determine the probability that the system works. Round your final answer to 4 decimals. P(system works) =