Mathematics

Why Averages Become More Predictable

Why Averages Become More Predictable

The Law of Large Numbers reveals that the more you repeat a random event, the closer your average result gets to the expected mathematical truth. While short-term outcomes remain wildly unpredictable, chaos inevitably settles into a stable pattern over time.

This principle explains why casinos always make money even though individual gamblers win or lose randomly. When you perform a task only a few times, luck plays a massive role in your results. However, as the number of trials increases, the random noise cancels out and reveals the underlying probability. It is essentially nature's way of forcing long-term fairness out of purely random situations.

Source: Law of large numbers

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