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# law of large numbers

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noun Mathematics.

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.

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## Origin of law of large numbers

First recorded in 1935â€“40

## Words nearby law of large numbers

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, Â© Random House, Inc. 2023

## British Dictionary definitions for law of large numbers

law of large numbers

noun

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

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
Â© William Collins Sons & Co. Ltd. 1979, 1986 Â© HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for law of large numbers

law of large numbers

The rule or theorem that the average of a large number of independent measurements of a random quantity tends toward the theoretical average of that quantity. Also called Bernoulli's law

The American HeritageÂ® Science Dictionary
Copyright Â© 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.