Describe events as subsets of a sample space using unions, intersections, and complements.
Find the complement of an event in a sample space
Problem
Within \(S={1,2,3,4,5,6}\), find \(A^c\) for \(A={2,4,6}\) by listing every sample-space outcome not in \(A\).
Big Picture
What this problem is really about
A complement is always defined relative to the supplied sample space. We’ll compare the event against that universe, remove every event member, list the remaining outcomes, and check both defining properties: empty overlap with the event and full coverage when the two sets are united.
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