Describe events as subsets of a sample space using unions, intersections, and complements.
Count the number of outcomes in a union or intersection event
Problem
Let \(S={1,2,3,4,5,6}\), \(A={2,4,6}\), and \(B={4,5,6}\). How many outcomes are in \(A~\text{union}~B\)?
Big Picture
What this problem is really about
Counting a union means counting distinct outcomes, not adding both event sizes blindly. We’ll build the union without duplicates, count its members, identify the shared outcomes, and verify the total with inclusion-exclusion by subtracting the overlap once.
Inside Gozunta
Turn the preview into practice.
More than a preview
Gozunta lets you study this problem—and more than 10,000 others.
Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.
