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    Subject

    Quantitative Aptitude

    Topic

    Probability

    The probability of occurance of two two events A and B are 1/4 and 1/2 respectively. The probability of their simultaneous occurrance is 7/50. Find the probability that neither A nor B occurs.

    ক)
    25/99
    খ)
    39/100
    গ)
    61/100
    ঘ)
    17/100

    Explanation

    P ( neither A nor B) = P(A‾  and  B‾)P\left(\overline A\;and\;\overline B\right) = P(A‾∩B‾)P\left(\overline A\cap\overline B\right) = P(A∪B‾)P\left(\overline{A\cup B}\right) = 1−P(A∪B)1-P\left(A\cup B\right) = 1−61100=391001-\frac{61}{100}=\frac{39}{100}

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