RAJASTHAN ­ PET Rajasthan PET Solved Paper-2003

  • question_answer
    If a coin is tossed n times, then the probability that head comes odd number of times is

    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 cases\[={{2}^{n}}\] If head occurs, odd number of times, then favourable number of cases\[={{2}^{n-1}}\] \[\therefore \]Required probability \[=\frac{{{2}^{n-1}}}{{{2}^{n}}}={{2}^{n-1-n}}\] \[={{2}^{-1}}=\frac{1}{2}\]


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