Problem preview

S-CP.1 Warmup M2-063-A11-V04

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

A spinner has \(4\) equal sections labeled red, blue, green, and yellow. Let event \(A\) be landing on red or blue, and let event \(B\) be landing on green. Are events \(A\) and \(B\) exhaustive?

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No, the events are not exhaustive because A and B do not overlap.

No, the events are not exhaustive because yellow is not in either event.

Yes, the events are exhaustive because A and B are complements.

Yes, the events are exhaustive because red, blue, and green already cover the spinner outcomes.

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Curriculum context

Course: Math II
Standard: S-CP.1
Category: Statistics and Probability
Domain: Conditional Probability and the Rules of Probability
Objective: Describe events as subsets of a sample space using unions, intersections, and complements.
Problem type: Decide whether two events are exhaustive by checking their union against the sample space