JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    A coin is tossed 3 times by 2 persons. What is the probability that both get equal number of heads         [DCE 1999]

    A)                 \[\frac{3}{8}\]       

    B)                 \[\frac{1}{9}\]

    C)                 \[\frac{5}{16}\]    

    D)                 None of these

    Correct Answer: C

    Solution :

               The condition will be satisfied, if both get \[0,\,\,1,\,\,2\] or 3 heads.            \[\therefore \] Either 0 head by \[A\] and 0 head by \[B\]            or 1 head by \[A\] and 1 head by \[B\]            or 2 head by \[A\] and 2 head by \[B\]            or 3 head by \[A\] and 3 head by \[B\]                    \[\therefore \]Required probability                                                 \[=\left[ \frac{1}{8}\times \frac{1}{8}+\frac{3}{8}\times \frac{3}{8}+\frac{3}{8}\times \frac{3}{8}+\frac{1}{8}\times \frac{1}{8} \right]=\frac{5}{16}\].


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