RAJASTHAN ­ PET Rajasthan PET Solved Paper-2007

  • question_answer
    Three houses are available in a locality. Three persons apply for the houses. Each applie for one house without consulting others. The probability that all three apply for the same house, is

    A)  \[\frac{2}{9}\]

    B)  \[\frac{1}{9}\]

    C)  \[\frac{8}{9}\]

    D)  \[\frac{7}{9}\]

    Correct Answer: B

    Solution :

     Person 1st has three options to apply. Similarly, person 2nd has three options to apply and person 3rd has three options to apply. Total cases\[={{3}^{3}}\] Now, favourable cases = 3 So,          probability\[=\frac{3}{{{3}^{3}}}=\frac{1}{9}\]


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