JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    Two dice are thrown simultaneously. What is the probability of obtaining sum of the numbers less than 11

    A)                 \[\frac{17}{18}\]  

    B)                 \[\frac{1}{12}\]

    C)                 \[\frac{11}{12}\]  

    D)                 None of these

    Correct Answer: C

    Solution :

               Favourable cases to get the sum not less than 11 are \[\{(5,\,\,6),\,(6,\,\,6),\,(6,\,\,5)\}=3\]                 Hence favourable cases to get the sum less than 11 are \[(36-3)=33\]. So required probability \[=\frac{33}{36}=\frac{11}{12}.\]


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