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A circuit system is given in the figure. Assume the components fail independently.(a) What is the probability that the entire system works?(b) Given that the

A circuit system is given in the figure. Assume the components fail independently.(a) What is the probability that the entire system works?(b) Given that the system works, what is the probability that the component A is not working?(a) The probability that the entire system works is(Type an integer or decimal rounded to five decimal places as needed.)

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