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snoggerT
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The probability of the closing of the ith relay in the circuits shown is given by p_i. Let p_1 = 0.9, p_2 = 0.6, p_3 = 0.1, p_4 = 0.7, p_5 = 0.2. If all relays function independently. what is the probability that a current flows between A and B for the respective circuits?
https://webwork.math.lsu.edu/webwork2_course_files/Math-3355-01-Fall2009/tmp/gif/HW4-prob1-ur_pb_4_14.gif
I am working on the circuit in part B. I broke down the problem into 4 events in which the current could flow through the circuit. I labeled them A, B, C and D. I know that the problem is just P(AUBUCUD), but I do not know how to do a union for 4 events. Can someone please help?
https://webwork.math.lsu.edu/webwork2_course_files/Math-3355-01-Fall2009/tmp/gif/HW4-prob1-ur_pb_4_14.gif
The Attempt at a Solution
I am working on the circuit in part B. I broke down the problem into 4 events in which the current could flow through the circuit. I labeled them A, B, C and D. I know that the problem is just P(AUBUCUD), but I do not know how to do a union for 4 events. Can someone please help?
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