JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    In a single throw of two dice, the probability of obtaining a total of 7 or 9, is                                                [AISSE 1979]

    A)                 \[\frac{5}{18}\]    

    B)                 \[\frac{1}{6}\]

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

    D)                 None of these

    Correct Answer: A

    Solution :

               \[7\to \left\{ (6,\,\,1),\,(5,\,\,2),\,(4,\,\,3),\,(3,\,\,4),\,(2,\,\,5),\,(1,\,\,6) \right\}\]            \[9\to \left\{ (6,\,\,3),\,(5,\,\,4),\,(4,\,\,5),\,(3,\,\,6) \right\}\]                 Required probability \[=\frac{6+4}{36}=\frac{5}{18}.\]


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