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    Subject

    Quantitative Aptitude

    Topic

    Probability

    Two cards are drawn from a pack of well shuffled cards. Find the probability that one is a club and other in King

    ক)
    1/52
    খ)
    1/26
    গ)
    1/13
    ঘ)
    1/2

    Explanation

    Let X be the event that cards are in a club which is not king and other is the king of club. Let Y be the event that one is any club card and other is a non-club king. Hence, required probability: =P(A)+P(B) = [12C1×1C152C2]+[13C1×3C152C2]\left[\frac{12C_1\times1C_1}{52C_2}\right]+\left[\frac{13C_1\times3C_1}{52C_2}\right] = [12×252×51]+[13×3×252×51]\left[12\times\frac2{52\times51}\right]+\left[13\times3\times\frac2{52\times51}\right] = 24+7852×51\frac{24+78}{52\times51} = 126\frac1{26}

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