Subject

    Quantitative Aptitude

    Topic

    Probability

    From a pack of 52 cards, two cards are drawn together at random. What is the probability of both the cards being kings?

    ক)
    1/15
    খ)
    1/221
    গ)
    25/57
    ঘ)
    35/256

    Explanation

    Let S be the sample space Then, n(S) = 52C252C_2 = 1326. Let E = event of getting 2 kings out of 4. n(E)  = 52×512×1\frac{52\times51}{2\times1} = 6 4C24C_2 = 4×32×1\frac{4\times3}{2\times1} P(E)=n(E)n(S)=61326=1221P(E)=\frac{n(E)}{n(S)}=\frac6{1326}=\frac1{221}

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