Subject

    Quantitative Aptitude

    Topic

    Probability

    Out of 17 applicants 8 boys and 9 girls. Two persons are to be selected for the job. Find the probability that at least one of the selected persons will be a girl.

    ক)
    19/34
    খ)
    5/4
    গ)
    20/34
    ঘ)
    25/34

    Explanation

    The events of selection of two person is redefined as first is a girl and second is a boy or first is boy and second is a girl or first is a girl and second is a girl. So the required probability: = (817×916)+(917×816)+(817×716)\left(\frac8{17}\times\frac9{16}\right)+\left(\frac9{17}\times\frac8{16}\right)+\left(\frac8{17}\times\frac7{16}\right) = 934+934+734\frac9{34}+\frac{\displaystyle9}{\displaystyle34}+\frac{\displaystyle7}{\displaystyle34} = 2534\frac{25}{34}

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