Subject

    Quantitative Aptitude

    Topic

    Probability

    Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is:

    ক)
    3/20
    খ)
    29/34
    গ)
    47/100
    ঘ)
    13/102

    Explanation

    Let S be the sample space. Then, n(S) = 52C252C_2 =(52 x 51)/(2 x 1) = 1326. Let E = event of getting 1 spade and 1 heart. n(E)= number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = 13C1×13C113C_1\times13C_1 = 169. P(E) = n(E)/n(S) = 169/1326 = 13/102.

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