Subject

    Quantitative Aptitude

    Topic

    Probability

    A room contains 3 red, 5 green and 4 blue chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is blue?

    ক)
    14/33
    খ)
    9/22
    গ)
    1/6
    ঘ)
    1/3
    ঙ)
    None of these

    Explanation

    ⇒ Total number of chairs = (3 + 5 + 4) = 12. Let S be the sample space. Then, n(s)= Number of ways of picking 2 chairs out of 12 =12C2=12×112×1=66{ = ^{12}}{C_2} = \frac{{12 \times 11}}{{2 \times 1}} = {\rm{}}66 Let n(E) = number of events of selecting 2 chairs for selecting no blue chairs. =8C2=8×72×1=28= {{\rm{}}^8}{{\rm{C}}_2} = \frac{{8 \times 7}}{{2 \times 1}} = 28 Therefore required probability = 28/66 = 14/33

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