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12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-1

  • question_answer
    If A and B be two events such that \[\mathbf{P}\left( \mathbf{A}\cap \mathbf{B} \right)=\mathbf{0}.\mathbf{32},\text{ }\mathbf{P}\left( B \right)=\mathbf{0}.\mathbf{5}\], then \[\mathbf{P}\left( \frac{A}{B} \right)\]is equal to:

    A)   0.64                           

    B)  0.65           

    C)  0.61                            

    D)  0.63

    Correct Answer: A

    Solution :

    [a] \[P\left( A\cap B \right)=0.32\] \[P\left( b \right)=0.5\] \[\therefore P\left( \frac{A}{B} \right)=\frac{P(A\cap B)}{P(B)}=\frac{0.32}{0.5}=\frac{32}{50}=\frac{16}{25}=\frac{64}{100}=0.64\]Hence, option [a] is correct.


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