Describe events as subsets of a sample space using unions, intersections, and complements.
Find the intersection of two events
Problem
Find \(A\cap{}B\) for \(A={1,2,3}\) and \(B={3,4,5}\) by retaining only outcomes present in \(\text{both}~\text{sets}\).
Big Picture
What this problem is really about
Intersection requires simultaneous membership in both events. We’ll test each outcome from one set against the other, discard members appearing in only one place, confirm there are no additional shared outcomes, and distinguish the result from the much larger union.
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