JEE Main & Advanced Mathematics Probability Question Bank Definition of probability

  • question_answer
    The event A is independent of itself if and only if \[P(A)=\]

    A)                 0             

    B)                 1

    C)                 0, 1        

    D)                 None of these

    Correct Answer: C

    Solution :

               \[A\] is independent of itself, if                 \[P(A\cap A)=P(A).P(A)\Rightarrow P(A)=P{{(A)}^{2}}\]\[\Rightarrow P(A)=0,\,1\].


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