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How Do Mathematicians Know Their Proofs Are Correct?

The Joy of Why

CHAPTER

How Randomness Can Be Used in Probability Theory?

In probability theory, sometimes you can get something deterministic out of something random. The central limit theorem tells you that if you combine a whole bunch of small random effects independently, that the output of that will always match a certain distribution like this bell curve. And so even if you don't know what the imputs were like, and that's powerful to use in mathematics.

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