JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    If a coin be tossed n times then probability that the head comes odd times is [RPET 2002]

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

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

    C)                 \[\frac{1}{{{2}^{n-1}}}\] 

    D)                 None of these

    Correct Answer: A

    Solution :

               Total number of ways \[=\,{{2}^{n}}\]            If head comes odd times, then favourable ways = \[{{2}^{n-1}}.\]                 \  Required probability \[=\frac{{{2}^{n-1}}}{{{2}^{n}}}=\frac{1}{2}\].


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