# law of large numbers

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## law of large numbers

n
(Statistics) the fundamental statistical result that the average of a sequence of n identically distributed independent random variables tends to their common mean as n tends to infinity, whence the frequency of the occurrence of an event in n independent repetitions of an experiment tends to its probability

## law′ of large′ num′bers

n.
the theorem in probability theory that the number of successes increases as the number of experiments increases and approximates the probability times the number of experiments for a large number of experiments.
[1935–40]
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 law of large numbers - (statistics) law stating that a large number of items taken at random from a population will (on the average) have the population statisticsBernoulli's lawlaw of nature, law - a generalization that describes recurring facts or events in nature; "the laws of thermodynamics"statistics - a branch of applied mathematics concerned with the collection and interpretation of quantitative data and the use of probability theory to estimate population parameters
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