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

  • question_answer
    If                                                                  \[P\,(A)=0.4,\,\,P\,(B)=x,\,\,P\,(A\cup B)=0.7\] and the events A and B are independent,  then x =                         [CEE 1993]

    A)                                                                                             \[\frac{1}{3}\]                                                                                           

    B)                                                                                             \[\frac{1}{2}\]

    C)                                                                                             \[\frac{2}{3}\]                                                                                           

    D)                 None of these

    Correct Answer: B

    Solution :

                                                                    \[0.7=0.4+x-0.4x\Rightarrow x=\frac{1}{2}.\]


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