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    Question

    Three houses are available in a locality. Three

    persons apply for the houses. Each applies for one house without consulting others. The probability that all the three apply for the same house is :
    A 1/9 Correct Answer Incorrect Answer
    B 2/9 Correct Answer Incorrect Answer
    C 5/9 Correct Answer Incorrect Answer
    D 7/9 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    One person can select one house out of 3= 3C1 ways =3.
    Hence, three persons can select one house out of 3 in 3 x 3 x 3 =9
    Therefore, probability that all thre apply for the same house is 1/9

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