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Answer: 55%
## Explanation We need to find the percentage of patients NOT considered high risk for a heart attack. **Given:** - P(High Cholesterol) = 25% = 0.25 - P(High Blood Pressure) = 30% = 0.30 - P(Both) = 10% = 0.10 **Step 1: Find patients considered high risk** Patients are high risk if they have **either** high cholesterol OR high blood pressure. Using the probability formula for union of two events: \[ P(A \cup B) = P(A) + P(B) - P(A \cap B) \] \[ P(\text{High Risk}) = 0.25 + 0.30 - 0.10 = 0.45 \] So 45% of patients are considered high risk. **Step 2: Find patients NOT considered high risk** \[ P(\text{Not High Risk}) = 1 - P(\text{High Risk}) \] \[ P(\text{Not High Risk}) = 1 - 0.45 = 0.55 \] Therefore, **55%** of patients are NOT considered high risk for a heart attack. **Answer: C (55%)**
Author: Nikitesh Somanthe
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A patient is considered high risk for a heart attack if they either have high cholesterol or high blood pressure. What percentage of patients are NOT considered high risk for a heart attack if 25% have high cholesterol, 30% have high blood pressure and 10% have both high cholesterol and high blood pressure?
A
45%
B
50%
C
55%
D
60%