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    Question

    Four houses are available in a locality. Four persons

    apply for the houses. Each applies for one house without consulting others. The probability that all the four apply for the same house is :
    A 1/9 Correct Answer Incorrect Answer
    B 2/16 Correct Answer Incorrect Answer
    C 5/16 Correct Answer Incorrect Answer
    D 7/9 Correct Answer Incorrect Answer

    Solution

    One person can select one house out of 4 = 4C1 ways = 4 Hence, three persons can select one house out of 4 in 4 x 4 x 4 = 64 Therefore, probability that all thre apply for the same house is 1/16

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