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

  • question_answer
    If A and B are two independent events such that \[P\,(A)=0.40,\,\,P\,(B)=0.50.\] Find \[P\](neither A nor B) [MP PET 1989; J & K 2005]

    A)                 0.90       

    B)                 0.10

    C)                 0.2         

    D)                 0.3

    Correct Answer: D

    Solution :

                       \[P(\text{neither}\,A\,\text{nor}\,B)=P(\bar{A}\cap \bar{B})\]                                              \[=P(\bar{A})\,.\,P(\bar{B})=0.6\times 0.5=0.30\].


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