JEE Main & Advanced Mathematics Question Bank Critical Thinking

  • question_answer
    If \[P(A)=0.3,\,\,P(B)=0.4,\,\,P(C)=0.8,\,\,P(AB)=0.08,\] \[P(AC)=0.28,\,\,P(ABC)=0.09,\,\,P(A+B+C)\ge 0.75\] and \[P(BC)=x,\] then                                                 [IIT 1983]

    A)                 \[0.23\le x\le 0.48\]              

    B)                 \[0.32\le x\le 0.84\]

    C)                 \[0.25\le x\le 0.73\]              

    D)                 None of these

    Correct Answer: D

    Solution :

                    There will be no \[x\] because \[P(AB)\] can never be less than \[P(ABC).\]


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