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

  • question_answer
    Let A and B be events for which \[P(A)=x\], \[P(B)=y,\]\[P(A\cap B)=z,\] then \[P(\bar{A}\cap B)\] equals             [AMU 1999]

    A)                 \[(1-x)\,y\]              

    B)                 \[1-x+\,y\]

    C)                 y ? z       

    D)   \[1-x+y-z\]

    Correct Answer: C

    Solution :

                    \[P(\bar{A}\,\cap B)\,=P(B)-P(A\cap B)=y-z.\]


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