With a large enough sample, any outrageous thing is likely to happen (Diaconis and Mosteller 1989). Littlewood (1986) considered an event which occurs one in a million times to be "surprising." Taking this definition, close to surprising events are "expected" each year in the United States alone and, in the world at large, "we can be absolutely sure that we will see incredibly remarkable events" (Diaconis and Mosteller 1989).
Law of Truly Large Numbers
See alsoCoincidence, Frivolous Theorem of Arithmetic, Strong Law of Large Numbers, Strong Law of Small Numbers
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ReferencesDiaconis, P. and Mosteller, F. "Methods of Studying Coincidences." J. Amer. Statist. Assoc. 84, 853-861, 1989.Littlewood, J. E. Littlewood's Miscellany. Cambridge, England: Cambridge University Press, 1986.
Referenced on Wolfram|AlphaLaw of Truly Large Numbers
Cite this as:
Weisstein, Eric W. "Law of Truly Large Numbers." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LawofTrulyLargeNumbers.html