In Problem 3.66a, find the conditional probability that relays 1 and 2 are both closed given that a current flows from A to B.
Problem 3.66
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)

(b)

FIGURE 3.4: Circuits for Problem 3.66

5 3 4 5 2