An actuary is studying the prevalence of three health risk factors, denoted by A, B, and C, within a population of women. For each of the three factors, the probability is 0.1 that a woman in the population has only this risk factor (and no others). For any two of the three factors, the probability is 0.12 that she has exactly these two risk factors (but not the other). The probability that a woman has all three risk factors, given that she has A and B, is 1/3. What is the probability that a woman has none of the three risk factors, given that she does not have risk factor A? A) 0.280 B) 0.311 C) 0.467 D) 0.484 E) 0.700

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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An actuary is studying the prevalence of three health risk factors, denoted by A, B, and C, within a population of women. For each of
the three factors, the probability is 0.1 that a woman in the population has only this risk factor (and no others). For any two of the
three factors, the probability is 0.12 that she has exactly these two risk factors (but not the other). The probability that a woman has
all three risk factors, given that she has A and B, is 1/3 .
What is the probability that a woman has none of the three risk factors, given that she does not have risk factor A?
A) 0.280
B) 0.311
C) 0.467
D) 0.484
E) 0.700
Transcribed Image Text:An actuary is studying the prevalence of three health risk factors, denoted by A, B, and C, within a population of women. For each of the three factors, the probability is 0.1 that a woman in the population has only this risk factor (and no others). For any two of the three factors, the probability is 0.12 that she has exactly these two risk factors (but not the other). The probability that a woman has all three risk factors, given that she has A and B, is 1/3 . What is the probability that a woman has none of the three risk factors, given that she does not have risk factor A? A) 0.280 B) 0.311 C) 0.467 D) 0.484 E) 0.700
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