Financial Risk Manager Part 1
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A patient is considered high risk for a heart attack if they either have high cholesterol or high blood pressure. In a given population, 25% have high cholesterol, 30% have high blood pressure and 10% have both high cholesterol and high blood pressure. If a randomly selected person has high blood pressure, what is the probability they also have high cholesterol?
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Community
NNikitesh
A
15%
B
20%
C
25%
D
33%
Explanation:
The correct answer is D (33%).
Explanation:
This is a conditional probability problem. We need to find P(High Cholesterol | High Blood Pressure).
Given:
- P(High Cholesterol) = 25% = 0.25
- P(High Blood Pressure) = 30% = 0.30
- P(Both) = 10% = 0.10
Using the conditional probability formula: P(A|B) = P(A ∩ B) / P(B)
Where:
- A = High Cholesterol
- B = High Blood Pressure
P(High Cholesterol | High Blood Pressure) = P(Both) / P(High Blood Pressure) = 0.10 / 0.30 = 1/3 ≈ 0.3333 or 33.33%
Therefore, if a randomly selected person has high blood pressure, there is a 33% probability they also have high cholesterol.
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