62. The probability of the closing of the *ith* relay in the circuits shown is given by...
Question:
62. The probability of the closing of the *ith* relay in the circuits shown 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?
(a)
$$
\begin{array}{c}
A \longrightarrow \boxed{
\begin{array}{c}
1 \\
\boxed{ }\\
3
\end{array}
}
\boxed{
\begin{array}{c}
2 \\
\boxed{ }\\
4
\end{array}
}
\longrightarrow \boxed{
\begin{array}{c}
5 \\
\boxed{ }
\end{array}
}
\longrightarrow B
\end{array}
$$
(b)
$$
\begin{array}{c}
A \longrightarrow \boxed{
\begin{array}{c}
1 \\
\boxed{ }\\
3
\end{array}
}
\boxed{
\begin{array}{c}
4 \\
\boxed{ }
\end{array}
}
\longrightarrow \boxed{
\begin{array}{c}
5 \\
\boxed{ }
\end{array}
}
\longrightarrow B
\end{array}
$$
HINT FOR (B): Condition on whether relay 3 closes.
Step by Step Answer:
