Zero-One Law
Version 1.0.0 · Updated 2026-07-28
CORE DEFINITION
The Zero-One Law is a theorem in probability theory. It was discovered by Andrey Kolmogorov, so it is sometimes called Kolmogorov's Zero-One Law. Its content is: the probability of a tail event can only be one (almost surely occurs) or zero (almost surely does not occur). Tail events are defined by an infinite sequence of random variables. Suppose X1, X2, X3, ... are infinitely many independent random variables (not necessarily identically distributed). Let F be the sigma-algebra generated by Xi.
SCAFFOLDING EFFECT
Reduce cognitive load
The Zero-One Law is a theorem in probability theory. It was discovered by Andrey Kolmogorov, so it is sometimes called Kolmogorov's Zero-One Law. Its content is: the probability of a tail event can only be one (almost surely occurs) or zero (almost surely does not occur). Tail events are defined by an infinite sequence of random variables. Suppose X1, X2, X3, ... are infinitely many independent random variables (not necessarily identically distributed).
Anchor fast decisions
A task only takes 0 (not done) or 1 (done and releasable); "half done" is mathematically equivalent to 0, thus eliminating ambiguous progress.
MINIMUM ACTION
In progress 0/4Practice this model in one real situation:
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Source support: Explicit
- zh.wikipedia.orghttps://zh.wikipedia.org/wiki/%E9%9B%B6%E4%B8%80%E5%BE%8Bverified
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