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An industrial system has 6 valves. For the system to work ALL of the valves must function correctly. Assume that whether each valve works correctly

An industrial system has 6 valves. For the system to work ALL of the valves must function correctly. Assume that whether each valve works correctly is independent of other valves. The probability of each valve working is 80%. What is the probability of the entire system working? Give your answer to at least 10^-6 accuracy.

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