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

  • question_answer
    Let A and B be two events such that \[P\,(A)=0.3\] and \[P\,(A\cup B)=0.8\]. If A and B are independent events, then \[P(B)=\]         [IIT 1990; UPSEAT 2001, 02]

    A)                 \[\frac{5}{6}\]       

    B)                 \[\frac{5}{7}\]

    C)                 \[\frac{3}{5}\]       

    D)                 \[\frac{2}{5}\]

    Correct Answer: B

    Solution :

                    \[0.8=0.3+x-0.3x\Rightarrow x=5/7.\]


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