Problem preview

S-CP.1 Warmup M2-063-A11-V02

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 greater than \(4\), and event \(B\) is rolling less than \(3\) on \(\text{one}~\text{die}\).

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No, the events are not exhaustive because the events do not overlap with each other.

No, the events are not exhaustive because 3 and 4 are not in either event.

Yes, the events are exhaustive because together they cover all the possible die rolls.

Yes, the events are exhaustive because roll greater than 4 and roll less than 3 are complementary events.

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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