The law of averages is a lay term used to express a belief that outcomes of a random event will "even out" within a small sample.
As invoked in everyday life, the "law" usually reflects bad statistics or wishful thinking rather than any mathematical principle. While there is a real theorem that a random variable will reflect its underlying probability over a very large sample, the law of averages typically assumes that unnatural short-term "balance" must occur. Typical applications of the law also generally assume no bias in the underlying probability distribution, which is frequently at odds with the empirical evidence.
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Famous quotes containing the words law of and/or law:
“The law of nature is alternation for evermore. Each electrical state superinduces the opposite. The soul environs itself with friends, that it may enter into a grander self-acquaintance or solitude; and it goes alone for a season, that it may exalt its conversation or society.”
—Ralph Waldo Emerson (1803–1882)
“Since you were so thankfully confused
By law with someone else, you cannot be
Semantically the same as that young beauty:
It was of her that these two words were used.”
—Philip Larkin (1922–1986)