Q79.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 : (1) 14 (2) 7 45 45 (3) 8 (4) 28 45 45
What This Question Tests
This question is a direct application of Bayes' Theorem to calculate the conditional probability of a person being a smoker and non-vegetarian given that they suffer from the chest disorder.
Concepts Tested
Formulas Used
P(A|B) = [P(B|A) P(A)] / P(B)
P(B) = Σ P(B|E_i) P(E_i)
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📋 Question Details
- Chapter
- Probability
- Topic
- Bayes' Theorem
- Year
- 2021
- Shift
- 25 Feb Shift 2
- Q Number
- Q79
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 13: Probability
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