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Of 200 people, 120 are male and 15 of those finished only high school. What is the probability of being a high school graduate given that the person is male?
AThe probability is 0.075
BThe probability is 0.135
CThe probability is 0.125
DThe probability is 0.600
Answer & Solution
Correct answer: C. The probability is 0.125
1. Conditioning on being male reduces the sample space to those 120 people.
2. Of those 120, exactly 15 finished only high school.
3. Dividing 15 by 120 gives 0.125.
4. The value 0.135 is the plain probability of being a high school graduate across all 200 people, which is close but not equal.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.5 Venn Diagrams_
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