JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The probability of getting a total of 5 or 6 in a single throw of 2 dice is                                         [MP PET 1988]

    A)                 \[\frac{1}{2}\]       

    B)                 \[\frac{1}{4}\]

    C)                 \[\frac{1}{3}\]       

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

    Correct Answer: B

    Solution :

               Total number of ways \[=36\]            Favourable numbers of cases are \[(1\,\,4),\,(2,\,\,3),\,(3,\,\,2),\] \[(4,\,\,1),\,(1,\,\,5),\,(2,\,\,4),\,(3,\,\,3),\,(4,\,\,2),\,(5,\,\,1)=9\]                 Hence the required probability \[=\frac{9}{36}=\frac{1}{4}.\]


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