The probability of the closing of the ith relay in the circuits shown in Figure 3.4 is

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The probability of the closing of the ith relay in the circuits shown in Figure 3.4 is given by pi, i = 1, 2, 3, 4, 5. If all relays function independently, what is the probability that a current flows between A and B for the respective circuits?
Condition on whether relay 3 closes.
(a)
The probability of the closing of the ith relay in

(b)

The probability of the closing of the ith relay in

FIGURE 3.4: Circuits for Problem 3.66

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