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GeezerVison is showing mathworld.wolfram.com — Law of Large Numbers -- from Wolfram MathWorld

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Law of Large Numbers


A "law of large numbers" is one of several theorems expressing the idea that as the number of trials of a random process increases, the percentage difference between the expected and actual values goes to zero.


See also

Strong Law of Large Numbers, Weak Law of Large Numbers Explore this topic in the MathWorld classroom

Portions of this entry contributed by John Renze

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More things to try:

  • 1000 random integers between 1 and 6
  • B(1000, 0.3)
  • Poisson distribution

References

Stark, P. B. "The Law of Large Numbers." https://www.stat.berkeley.edu/~stark/Java/Html/lln.htm.Veritasium. "The Strange Math That Predicts (Almost) Anything." Jul. 25, 2025. https://www.youtube.com/watch?v=KZeIEiBrT_w.

Referenced on Wolfram|Alpha

Law of Large Numbers

Cite this as:

Weisstein, Eric W., with contributions by John Renze. "Law of Large Numbers." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LawofLargeNumbers.html

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