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

  • question_answer
    Suppose that A, B, C are events such that                                   \[P\,(A)=P\,(B)=P\,(C)=\frac{1}{4},\,P\,(AB)=P\,(CB)=0,\,P\,(AC)=\frac{1}{8},\]  then                                                                                             \[P\,(A+B)=\]                                                 [MP PET 1992]

    A)                 0.125

    B)                 0.25

    C)                 0.375     

    D)                 0.5

    Correct Answer: D

    Solution :

                                                                                                  \[P(A+B)=P(A)+P(B)-P(AB)\]                                                                  \[=\frac{1}{4}+\frac{1}{4}-0=\frac{1}{2}.\]


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