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Why are being an advanced swimmer and being an intermediate swimmer mutually exclusive?
ABecause both groups practise four times a week
BBecause the two groups have unequal sizes here
CBecause the two groups together cover the team
DBecause one swimmer cannot be both at one time
Answer & Solution
Correct answer: D. Because one swimmer cannot be both at one time
1. Each swimmer is placed in exactly one skill grade.
2. No swimmer can therefore be advanced and intermediate at the same time.
3. The joint probability of the two grades is zero, which is the test for mutual exclusivity.
4. The two groups do not cover the whole team either, since the novices form a third grade.
_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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