Question:
From a city population, the probability of selecting a male or smoker is \( \frac{7}{10} \), a male smoker is \( \frac{2}{5} \) and a male, if a smoker is already selected, is \( \frac{3}{5} \). Then, the probability of
From a city population, the probability of selecting a male or smoker is \( \frac{7}{10} \), a male smoker is \( \frac{2}{5} \) and a male, if a smoker is already selected, is \( \frac{3}{5} \). Then, the probability of
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When dealing with conditional probability, use the formula \( P(A|B) = \frac{P(A \cap B)}{P(B)} \) for accurate calculations.
Updated On: Jan 12, 2026
- selecting a male is \( \frac{3}{5} \)
- selecting a smoker is \( \frac{3}{5} \)
- selecting a non-smoker is \( \frac{2}{5} \)
- selecting a smoker, if a male is first selected, is \( \frac{8}{5} \)
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The Correct Option is D
Solution and Explanation
The probability is calculated using the basic conditional probability and the principle of inclusion and exclusion for multiple events.
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