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1 - Grissom Math Team
1 - Grissom Math Team

... vertex of this larger cube and wants to go to Nikhil’s house on the opposite vertex of the larger cube for a cup of tea. A “move” is defined as moving a distance of exactly 1 along any of the edges of one of the original 1x1x1 cubes without getting closer to Dave’s starting point. If a “path” is def ...
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Math 227, Statistics Fall 2008 Section 0282 Mc Gann

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Law of large numbers



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. 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.The LLN is important because it ""guarantees"" stable long-term results for the averages of some random events. 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. Any winning streak by a player will eventually be overcome by the parameters of the game. It is important to remember that the LLN only applies (as the name indicates) when a large number of observations are considered. 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 (see the gambler's fallacy)
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