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.

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

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 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