JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    A dice is thrown 5 times, then the probability that an even number will come up exactly 3 times is

    A)                 \[\frac{5}{16}\]    

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

    C)                 \[\frac{3}{16}\]    

    D)                 \[\frac{3}{2}\]

    Correct Answer: A

    Solution :

                    By Binomial theorem, \[P={}^{5}{{C}_{3}}\times {{\left( \frac{1}{2} \right)}^{3}}{{\left( \frac{1}{2} \right)}^{2}}\Rightarrow P=\frac{5}{16}.\]


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