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An outcome belongs to the union of A and B under which condition?
AIt lies in A and in B at the same time
BIt lies outside both of the two events
CIt lies in A, or in B, or in both of them
DIt lies in exactly one of A and B, not both
Answer & Solution
Correct answer: C. It lies in A, or in B, or in both of them
1. The union collects everything that belongs to either event.
2. An outcome qualifies if it is in A, or in B, or in both of them.
3. Shared outcomes are listed only once, so the union of the sets 1 to 5 and 4 to 8 runs from 1 to 8.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.1 Terminology_
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