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12th Class Mathematics Sample Paper Mathematics Olympiad - Sample Paper-2

  • question_answer
    If \[\mathbf{P}\left( \mathbf{a} \right)=\mathbf{0}.\mathbf{65},\mathbf{P}\left( \mathbf{b} \right)=\mathbf{0}.\mathbf{15}\],then \[\mathbf{P}\left( \mathbf{a} \right)+\mathbf{P}\left( \mathbf{b} \right)\]is equal to:

    A)  1.1                  

    B)  1.2             

    C)  1.5                  

    D)  1.4

    Correct Answer: B

    Solution :

    [b] \[\because P\left( A \right)=0.65\] \[P\left( B \right)=0.15\] Now, \[P\left( \overline{A} \right)+P\left( \overline{B} \right)=1-P\left( A \right)+1-P\left( B \right)=2-\left( P\left( A \right)+P\left( B \right) \right)\]\[=2-\left( 0.65+0.15 \right)=2-0.80=1.2\] Hence, option [b] is correct.


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