JEE Main & Advanced Mathematics Probability Question Bank Odds in favour and odds against Addition theorem on probability

  • question_answer
    If A and B are arbitrary events, then    [DCE 2002]

    A)                 \[P(A\cap B)\ge P(A)+P(B)\]

    B)                 \[P(A\cup B)\le P(A)+P(B)\]

    C)                 \[P(A\cap B)=P(A)+P(B)\]  

    D)                 None of these

    Correct Answer: B

    Solution :

                       \[P(A\cup B)=P(A)+P(B)-P(A\cap B)\le P(A)+P(B)\],                                                                                                 \[(\because \,\,P(A\cap \,B)\ge \,0)\].


You need to login to perform this action.
You will be redirected in 3 sec spinner