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CFA Level 1
Quantitative Methods

Conditional Probability of Respiratory Condition Given Smoking Status

Very Hard Probability Concepts Conditional Probability

In a city, it has been observed that 70% of the population are non-smokers, and the remaining 30% are smokers. Among smokers, it is found that 40% have some form of respiratory condition. Conversely, only 10% of non-smokers have respiratory conditions. A random individual is selected from the city.

What is the probability that this individual has a respiratory condition given that they are a smoker?

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