JEE Main & Advanced Mathematics Probability Question Bank Self Evaluation Test - Probability-II

  • question_answer
    A fair coin is tossed 99 times. If X is the number of times head occurs, \[P(X=r)\] is maximum when r is

    A) 49 or 50

    B) 50 or 51

    C) 51

    D) None of these

    Correct Answer: A

    Solution :

    [a] Putting n = 99 and \[p=\frac{1}{2}\], we have \[(n+1)p\] \[=(100)(\frac{1}{2})=50\] So that the maximum value of \[P(X=r)\] occurs at \[r=(n+1)\] \[P=50\] and at \[r=(n+1)p-1=49\]


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