Mathematics · 2021
JEE Main · 25 February 2021, Shift 2 · Q75
In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers and vegetarian and the remaining 140 are non-smokers and vegetarian.…
In a group of $\displaystyle 400$ people, $\displaystyle 160$ are smokers and non-vegetarian; $\displaystyle 100$ are smokers and vegetarian and the remaining $\displaystyle 140$ are non-smokers and vegetarian. Their chances of getting a particular chest disorder are $\displaystyle 35 \%, 20 \%$ and $\displaystyle 10 \%$ respectively. A person is chosen from the group at random and is found to be suffering from the chest disorder. The probability that the selected person is a smoker and non-vegetarian is :
Official answer
(3)
$\displaystyle \frac{28}{45}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.