Kolmogorov's 0-1 Law

Kolmogorov's 0-1 Law states that for a certain type of random process—specifically, sequences of independent random events—any event that depends only on the infinite tail of the process (all outcomes after some point) will either almost never happen or almost always happen; its probability is either 0 or 1. In simple terms, for these processes, long-term future events do not have uncertain probabilities—they are almost certain or almost impossible, regardless of the initial outcomes.