JEE Main & Advanced JEE Main Paper (Held On 8 April 2017)

  • question_answer
    An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tails is:   [JEE Online 08-04-2017]

    A) \[\frac{127}{128}\]                                         

    B) \[\frac{63}{64}\]

    C) \[\frac{255}{256}\]                                         

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

    Correct Answer: A

    Solution :

                    \[1-\int_{{}}^{{}}{P(All\,Head)+P(All\,Tail)}\]                 \[1=\left\{ \frac{1}{{{2}^{8}}}+\frac{1}{{{2}^{8}}} \right\}\]                 \[=1-\frac{1}{{{2}^{7}}}\]                 \[=1-\frac{1}{128}=\frac{127}{128}\]


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