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Among 100 people, 52 are male and 43 of those are right-handed. What is the probability a person is right-handed given that the person is male?
AThe probability is 0.8269
BThe probability is 0.4300
CThe probability is 0.4943
DThe probability is 0.8700
Answer & Solution
Correct answer: A. The probability is 0.8269
1. Conditioning on being male reduces the sample space to the 52 men.
2. Of those 52 men, 43 are right-handed.
3. Dividing 43 by 52 gives 0.8269 to four decimal places.
4. A value of 0.4300 divides by all 100 people and gives the joint probability rather than the conditional one.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.1 Terminology_
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