RAJASTHAN ­ PET Rajasthan PET Solved Paper-2001

  • question_answer
    If P=0.25, P=0.5 and\[P(A\cap B)=0.14,\]then\[P(\overline{A}\cap \overline{B})\]is equal to

    A)  0.39             

    B)  0.61

    C)  0.48             

    D)  0.45

    Correct Answer: A

    Solution :

     Given that, \[P(A)=0.25,P(B)=0.5,P(A\cap B)=0.14\] \[P(\overline{A}\cap \overline{B})=P(\overline{A\cap B})\] \[=1-P(A\cup B)\] \[=1-[P(A)+P(B)-P(A\cap B)]\] \[=1-[0.25+0.5-0.14]\] \[=1-0.61\] \[=0.39\]


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