Question: The liquid flow in a pipe can be interrupted by two independent valves (V_{1}) and (V_{2}), which are connected in series (figure). For interrupting the

The liquid flow in a pipe can be interrupted by two independent valves \(V_{1}\) and \(V_{2}\), which are connected in series (figure). For interrupting the liquid flow it is sufficient if one valve closes properly. The probability that an interruption is achieved when necessary is 0.98 for both valves. On the other hand, liquid flow is only possible if both valves are open. Switching from 'closed' to 'open' is successful with probability 0.99 for each of the valves.

(1) Determine the probability to be able to interrupt the liquid flow if necessary.

(2) What is the probability to be able to resume liquid flow if both valves are closed?

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