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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