Subject

    Quantitative Aptitude

    Topic

    Probability

    A bag contains 6 white and 4 black balls .2 balls are drawn at random. Find the probability that they are of same colour.

    ক)
    1/2
    খ)
    7/15
    গ)
    8/15
    ঘ)
    1/9

    Explanation

    Let S be the sample space Then n(S) = no of ways of drawing 2 balls out of (6+4)  = 10 c 2 10= 10×92×1\frac{10\times9}{2\times1} =45 Let E = event of getting both balls of same colour Then,n(E) = no of ways (2 balls out of six) or (2 balls out of 4) = 6 c 2 + 4 c 2 = 6×52×1+4×32×1\frac{6\times5}{2\times1}+\frac{4\times3}{2\times1} = 15+6 = 21 Therefore, P(E) = n(E)/n(S) = 21/45 = 7/15

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