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Question

# 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:

A
745
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B
845
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C
1445
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D
2845
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Solution

## The correct option is D 2845Based on Bayes' theorem, Required Probability =(160400×35100)(160400×35100)+(100400×20100)+(140400×10100) =56009000 =2845

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