JEE Mains · Maths · STD 12 - 13. probability
In a group of \(400\) people, \(160\) are smokers and nonvegetarian; \(100\) 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 ...... .
- A \(\frac{7}{45}\)
- B \(\frac{14}{45}\)
- C \(\frac{28}{45}\)
- D \(\frac{8}{45}\)
Answer & Solution
Correct Answer
(C) \(\frac{28}{45}\)
Step-by-step Solution
Detailed explanation
Consider following events \(A :\) Person chosen is a smoker and non vegetarian. \(B :\) Person chosen is a smoker and vegetarian. \(C :\) Person chosen is a non-smoker and vegetarian. \(E :\) Person chosen has a chest disorder Given…
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