Describe events as subsets of a sample space using unions, intersections, and complements.
Decide whether two events are mutually exclusive by checking their overlap
Problem
Are these events mutually exclusive? Rolling an even number and rolling an odd number on \(\text{one}~\text{die}\).
Big Picture
What this problem is really about
Mutual exclusivity is a statement about overlap, not about whether events share a sample space. We’ll list each die event, test for any common outcome, express the intersection, and apply the definition that mutually exclusive events have an empty intersection.
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