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March 28, 2017

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A factory needs two raw materials, say, A and B. The probability of having an adequate supply of material A is 0.94, whereas the probability of having an adequate supply of material B is 0.96. A study shows that the probability of a shortage of both A and B is 0.02. What is the probability that the factory has a shortage of either material A or B?

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  • math - ,

    A=0.06
    B=0.04
    A∩B=0.02
    by the inclusion/exclusion principle,
    A∪B=(0.06+0.04)-0.02=?

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