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JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    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                                                [AIEEE 2005]

    A)                 \[\frac{8}{9}\]       

    B)                 \[\frac{7}{9}\]

    C)                 \[\frac{2}{9}\]       

    D)                 \[\frac{1}{9}\]

    Correct Answer: D

    Solution :

               For a particular house being selected , Probability = \[\frac{1}{3}\]                    Probability (all the persons apply for the same house)                                 \[=\left( \frac{1}{3}\times \frac{1}{3}\times \frac{1}{3} \right)\,3=\frac{1}{9}\].


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