Subject

    Quantitative Aptitude

    Topic

    Probability

    Find the probability that one ball is white when two balls are drawn at random from a basket that contains 9 red, 7 white and 4 black balls.

    ক)
    18/95
    খ)
    18/190
    গ)
    1/2
    ঘ)
    91/190

    Explanation

    Total number of elementary events = 20C220C_2 ways =190 There are 7 white balls out of which one white can be drawn in 7 C 1 ways and one ball from remaining 13 balls can be drawn in 13C113C_1 ways So,favourable events = 7C1×13C17C_1\times13C_1 Therfore,required probability = 7C1×13C120C2\frac{7C_1\times13C_1}{20C_2} = 91/90

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