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Math Help - special multiplication rule

  1. #1
    tonopahred
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    special multiplication rule

    Help! this is the problem:
    a piece of complex technical equipment has 711 critical parts. If the probability of failure for each of these parts is 0.0001, find the probability of having at least one failure during a random use of the equipment. It tells me that I need to use the special multiplication rule, but without numbers plugged into the equation, I don't understand. Any help will be greatly appreciated.
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  2. #2
    Senior Member DivideBy0's Avatar
    Joined
    Mar 2007
    From
    Melbourne, Australia
    Posts
    432
    Quote Originally Posted by tonopahred View Post
    Help! this is the problem:
    a piece of complex technical equipment has 711 critical parts. If the probability of failure for each of these parts is 0.0001, find the probability of having at least one failure during a random use of the equipment. It tells me that I need to use the special multiplication rule, but without numbers plugged into the equation, I don't understand. Any help will be greatly appreciated.
    I haven't heard of the 'special multiplication rule', but I would find the probability using complement.

    Pr(At \ least \ one \ failure)=1-Pr(No \ Failures)

    =1-(1-0.0001)^{711}

    =0.069
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