JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    In tossing 10 coins, the probability of getting exactly 5 heads is                                                     [MP PET 1996]

    A)                 \[\frac{9}{128}\]  

    B)             \[\frac{63}{256}\]

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

    D)                 \[\frac{193}{256}\]

    Correct Answer: B

    Solution :

                    Required probability \[={}^{10}{{C}_{5}}\times {{\left( \frac{1}{2} \right)}^{5}}.{{\left( \frac{1}{2} \right)}^{5}}=\frac{63}{256}.\]


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