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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 events such that                                                                                               \[P(A)=0.4\]  ,                                                                                          \[P\,(A+B)=0.7\]  and                                                                                            \[P\,(AB)=0.2,\]  then                                                                                                \[P\,(B)=\] [MP PET 1992]

    A)                 0.1         

    B)                 0.3

    C)                 0.5         

    D)                 None of these

    Correct Answer: C

    Solution :

                       Since we have                                                                               \[P(A+B)=P(A)+P(B)-P(AB)\]                                                                                                                \[\Rightarrow 0.7=0.4+P(B)-0.2\Rightarrow P(B)=0.5\].


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