Describe events as subsets of a sample space using unions, intersections, and complements.
Decide whether two events are exhaustive by checking their union against the sample space
Problem
Are these events exhaustive? Event \(A\) is rolling an even number, and event \(B\) is rolling an odd number on \(\text{one}~\text{die}\).
Big Picture
What this problem is really about
Exhaustive events cover every possible outcome, whether or not they overlap. We’ll list the die’s sample space, unite the two events, compare that union member by member with the universe, and apply the definition when the sets match exactly.
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