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What does the law of large numbers state about repeating an experiment?
AThe outcomes begin to follow a fixed pattern
BThe relative frequency nears the theoretical value
CThe theoretical probability moves toward the data
DThe number of distinct outcomes keeps growing
Answer & Solution
Correct answer: B. The relative frequency nears the theoretical value
1. As repetitions increase, the observed relative frequency is tracked.
2. That frequency tends to move closer and closer to the theoretical probability.
3. The outcomes themselves still arrive in no set pattern or order, so only the long-run proportion settles down.
4. The theoretical probability is fixed by the experiment, so it is the data that move toward it and not the reverse.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.1 Terminology_
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