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For A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is the intersection of A and B?
AIt is the set {1, 2, 3}
BIt is the set {6, 7, 8}
CIt is the set {1, 2, 3, 4, 5}
DIt is the set {4, 5}
Answer & Solution
Correct answer: D. It is the set {4, 5}
1. The intersection holds only the outcomes that are in both events at the same time.
2. The values 4 and 5 appear in A and also in B.
3. The intersection is therefore the set holding 4 and 5, while the set 1 to 5 is A itself.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.1 Terminology_
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