Order from Chaos: The Galton Board

Random individual paths can produce a regular distribution in aggregate.

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3Blue1Brown
Published
Dec 15, 2023
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0:49
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1 min
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SUMMARY

In 30 seconds

A Galton board illustrates how unpredictable individual outcomes can form a recognizable distribution across many trials.

  1. 1Individual randomnessA single event can be chaotic and hard to predict.
  2. 2Aggregate regularityMany events can display a predictable distribution.
  3. 3The bell curveThe Galton board illustrates the normal, or Gaussian, distribution.

Takeaways

  1. A single path is hard to predict.
  2. Many outcomes can exhibit a stable pattern.
  3. The Galton board illustrates the normal distribution.
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01

A board that demonstrates probability

The short introduction connects random paths to the bell curve.

A Galton board demonstrates how an individual event can be chaotic and difficult to predict. Each path is uncertain, but the outcomes can still be studied together.

Across many events, relative frequencies can form a regular pattern. The board illustrates the normal distribution, also called the Gaussian distribution or bell curve.

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