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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.Their chances of getting a particular chest disorder are 35%, 20% and 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 :
Option: 1 $\frac{7}{45}$
Option: 2 $\frac{14}{45}$
Option: 3 $\frac{28}{45}$
Option: 4 $\frac{8}{45}$

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