Subject

    Quantitative Aptitude

    Topic

    Probability

    A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:

    ক)
    2/91
    খ)
    1/22
    গ)
    3/22
    ঘ)
    2/77

    Explanation

    Let S be the sample space. Then, n(S) = number of ways of drawing 3 balls out of 15 = 15 c 3 15×14×133×2×1\frac{15\times14\times13}{3\times2\times1} = 455. Let E = event of getting all the 3 red balls. n(E) = 5 c 3 = 5×42×1\frac{5\times4}{2\times1} = 10. => P(E) = n(E)/n(S) = 10/455 = 2/91.

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