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

  • question_answer
    The two events A and B have probabilities 0.25 and 0.50 respectively. The probability that both A and B occur simultaneously is 0.14. Then the probability that neither A nor B occurs is                           [IIT 1980; MP PET 1994]

    A)                 0.39       

    B)                 0.25

    C)                 0.904     

    D)                 None of these

    Correct Answer: A

    Solution :

                       \[P({{A}^{c}}\cap {{B}^{c}})=1-P(A\cup B)\]                                                 \[=1-[0.25+0.5-0.14]=0.39.\]


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