# law of large numbers

### 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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## Nearby words

- law of heart,
- law of identity,
- law of independent assortment,
- law of inertia,
- law of inverse square,
- law of mass action,
- law of moses,
- law of motion,
- law of multiple proportion,
- law of nations

## Origin of law of large numbers

First recorded in 1935–40

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

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## 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
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## law of large numbers

### n.

The rule or theorem that a large number of items chosen at random from a population will, on the average, have the characteristics of the population.Bernoulli's law

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.

## 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 Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.