I actually disagree (and I have had this before too, mainly playing ARAM). Will also delete on comment score of -1 or less. Parent commenter can toggle NSFW or delete. Interesting: Poisson distribution | Law of truly large numbers | Probability theory | Central limit theorem There is no principle that a small number of observations will coincide with the expected value or that a streak of one value will immediately be "balanced" by the others. It is important to remember that the LLN only applies (as the name indicates) when a large number of observations are considered. Any winning streak by a player will eventually be overcome by the parameters of the game. For example, while a casino may lose money in a single spin of the roulette wheel, its earnings will tend towards a predictable percentage over a large number of spins. The LLN is important because it "guarantees" stable long-term results for the averages of some random events. According to the law, the average of the results obtained from a large number of trials should be close to the expected value, and will tend to become closer as more trials are performed. In probability theory, the law of large numbers ( LLN) is a theorem that describes the result of performing the same experiment a large number of times.