JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    If a dice is thrown twice, the probability of occurrence of 4 at least once is                                    [UPSEAT 2003]

    A)                 \[\frac{11}{36}\]  

    B)                 \[\frac{7}{12}\]

    C)                 \[\frac{35}{36}\]  

    D)                 None of these

    Correct Answer: A

    Solution :

               Probability of occurrence of ?4?\[=\frac{1}{6}\]            Probability of inoccurrence of '4' \[=\frac{5}{6}\]            \[\therefore \]Required probability                                                 \[={{\,}^{2}}{{C}_{1}}\left( \frac{1}{6} \right)\,\left( \frac{5}{6} \right)\,+{{\,}^{2}}{{C}_{2}}{{\left( \frac{1}{6} \right)}^{2}}{{\left( \frac{5}{6} \right)}^{0}}=\frac{11}{36}\].


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