Subject

    Quantitative Aptitude

    Topic

    Probability

    The odds against an event A are 5:3 and odds in favor of another independent event B and 6:5. The chances that neither A nor B occurs is

    ক)
    52/88
    খ)
    25/88
    গ)
    10/88
    ঘ)
    12/88
    ঙ)
    None of these

    Explanation

    The odds against an event A are 5:3 Probability of not occurring the individual event A = 5/8 Probability of occurring the individual event A = 3/8 Again , odds in favor of another independent event B and 6:5 Probability of occurring the individual event B = 6/(6+5) = 6/11 Probability of not occurring the individual event B = 5/(6+5) = 5/11 The chances that neither A nor B occurs is = Probability of not occurring event A × probability of not occurring event B [As the two events are independent therefore multiplication will occur] =  58×511= \;\frac{5}{8} \times \frac{5}{{11}} =2588= \frac{{25}}{{88}}

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