A random sample of US adults revealed that approximately 68% own their own home. In this same sample, 52% of the respondents had completed some additional form of education following high school (trade or technical school, 2-year or 4-year college, military training, etc.). Finally, 44% of respondents had completed some additional form of education following high school and owned their own home.Given that a randomly selected adult from the survey has completed some additional form of education following high school, what is the probability that the person is a homeowner?
Use conditional probability: among respondents with additional education, the fraction who own a home is the proportion who have both traits divided by the proportion with additional education. Thus, P(homeowner | additional education) = 0.44 ÷ 0.52 ≈ 0.846. The correct choice is 0.846.
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