Kolmogorov's Zero-One Law is a fundamental result in probability theory that states certain events have a probability of either zero or one. Specifically, it applies to events that are determined by an infinite sequence of random variables. This means that for these events, there is no chance of them occurring with a probability between zero and one. The law is significant because it helps to identify which events are predictable in the long run. If an event is "tail" related, meaning it depends on the outcomes of an infinite series of trials, it will either almost surely happen or almost surely not happen, simplifying the analysis of complex probabilistic systems.