Describe events as subsets of a sample space using unions, intersections, and complements.
Find the union of two events written as sets of outcomes
Problem
Find \(A\cup{}B\) for \(A={1,2,3}\) and \(B={3,4,5}\). Include every outcome appearing in either event, listing the shared outcome \(\text{only}~\text{once}\).
Big Picture
What this problem is really about
Union uses inclusive-or membership: an outcome belongs if it appears in either event or both. We’ll begin with every member of the first set, add the second set’s new members, keep shared outcomes exactly once, and audit that nothing from either event was omitted.
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