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Forty-eight percent of voters prefer life without parole, 37.6 percent are Latino, and 55 percent of Latino voters prefer it. What is the probability a voter is Latino or prefers it?
AThe probability is 0.8560
BThe probability is 0.2068
CThe probability is 0.6492
DThe probability is 0.5500
Answer & Solution
Correct answer: C. The probability is 0.6492
1. The joint probability is P(Latino) times P(prefers given Latino), which is 0.376 times 0.55.
2. That product is 0.2068.
3. The addition rule then gives 0.48 plus 0.376 minus 0.2068.
4. The sum of the two separate probabilities is 0.856.
5. Subtracting the overlap gives 0.856 minus 0.2068, which is 0.6492.
6. Stopping at 0.8560 counts the Latino voters who prefer life without parole in both groups.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.3 Two Basic Rules of Probability_
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