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    probability that the circuit operates

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    This electrical circuit operates if and only if there is a path of the functional devices from left to right. The probability that each device functions is as shown. Assume that the probability that a device is functional does not depend on whether or not other devices are functional. What is the probability that the circuit operates?



    Drawn poorly, but the current comes in from the left, flows through the top, bottom or both, and leaves at the right.

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    Solution Preview

    All three devices have to function for that branch functions.

    The probability of the upper branch functioning is
    0.9 * 0.8 * 0.7 = 0.504

    The ...

    Solution Summary

    The solution shows how to calculate the probability the electric circuit operates.