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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2015

  • question_answer
    The chances to fail in Physics are 20% and the chances to fail in Mathematics are 10%. What are the chances to fail in atleast one subject?

    A) 82%                       

    B) 38%        

    C) 28%       

    D) 72%

    Correct Answer: C

    Solution :

    Let \[P(A)=\frac{20}{100}=\frac{1}{5},P(B)=\frac{10}{100}=\frac{1}{10}\] Since, events are independent, so we have to find \[\text{P}\left( \text{A}\cup \text{ B} \right)=\text{P}\left( \text{A} \right)+\text{P}\left( \text{B} \right)-\text{P}\left( \text{A} \right)\text{.P}\left( \text{B} \right)\] \[=\frac{1}{5}+\frac{1}{10}-\frac{1}{5}.\frac{1}{10}=\frac{10+5-1}{50}=\frac{14}{50}\] \[=\frac{14}{50}\times 100=28%\]


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