JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    If a dice is thrown 7  times, then the probability of obtaining 5  exactly 4  times  is

    A)                 \[^{7}{{C}_{4}}\,{{\left( \frac{1}{6} \right)}^{4}}{{\left( \frac{5}{6} \right)}^{3}}\]        

    B)                 \[^{7}{{C}_{4}}\,{{\left( \frac{1}{6} \right)}^{3}}{{\left( \frac{5}{6} \right)}^{4}}\]

    C)                 \[{{\left( \frac{1}{6} \right)}^{4}}{{\left( \frac{5}{6} \right)}^{3}}\]        

    D)                 \[{{\left( \frac{1}{6} \right)}^{3}}{{\left( \frac{5}{6} \right)}^{4}}\]

    Correct Answer: A

    Solution :

                    Required probability \[={}^{7}{{C}_{4}}{{\left( \frac{1}{6} \right)}^{4}}{{\left( \frac{5}{6} \right)}^{3}}.\]


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