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

  • question_answer
    The probabilities of three mutually exclusive events are 2/3, 1/4 and 1/6. The statement is        [MNR 1987; UPSEAT 2000]

    A)                 True       

    B)                 Wrong

    C)                 Could be either    

    D)                 Do not know

    Correct Answer: B

    Solution :

                       Since here                                                                            \[P(A+B+C)=P(A)+P(B)+P(C)\]                                                                         \[=\frac{2}{3}+\frac{1}{4}+\frac{1}{6}=\frac{13}{12}\] , which is greater than 1.                                 Hence the statement is wrong.


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