JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    If three dice are thrown together, then the probability of getting 5 on at least one of them is

    A)                 \[\frac{125}{216}\]             

    B)                 \[\frac{215}{216}\]

    C)                 \[\frac{1}{216}\]  

    D)                 \[\frac{91}{216}\]

    Correct Answer: D

    Solution :

               Required probability                 \[={}^{3}{{C}_{1}}\left( \frac{1}{6} \right)\text{ }{{\left( \frac{5}{6} \right)}^{2}}+{}^{3}{{C}_{2}}{{\left( \frac{1}{6} \right)}^{2}}\left( \frac{5}{6} \right)+{}^{3}{{C}_{3}}{{\left( \frac{1}{6} \right)}^{3}}{{\left( \frac{5}{6} \right)}^{0}}=\frac{91}{216}.\]


You need to login to perform this action.
You will be redirected in 3 sec spinner