JEE Main & Advanced Mathematics Probability Question Bank Binomial distribution

  • question_answer
    If two coins are tossed 5 times, then the probability of getting 5 heads and 5 tails is                                    [AMU 2002]

    A)                 \[\frac{63}{256}\]

    B)                 \[\frac{1}{1024}\]

    C)                 \[\frac{2}{205}\]  

    D)                 \[\frac{9}{64}\]

    Correct Answer: A

    Solution :

               Probability for a head \[=\frac{1}{2}i.e.,\,\,p=\frac{1}{2}\]            \[\therefore \]\[q=\frac{1}{2}\] in a toss.                 Required probability \[{{=}^{10}}{{C}_{5}}{{\left( \frac{1}{2} \right)}^{5}}{{\left( \frac{1}{2} \right)}^{5}}=\frac{63}{256}\].


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