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Of 100 hikers, 41 prefer lakes and streams and 25 of those are male. What is the probability of being male given that the hiker prefers lakes and streams?
AIt is 25/41
BIt is 25/55
CIt is 41/100
DIt is 55/100
Answer & Solution
Correct answer: A. It is 25/41
1. The word given signals a conditional probability.
2. The sample space is not all 100 hikers but the 41 who prefer lakes and streams.
3. Of those 41, exactly 25 are male, so the probability is 25/41.
4. Dividing by 55 would condition on being male rather than on the preference.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.4 Contingency Tables and Probability Trees_
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