What is the significance of the 'law of large numbers' in probability?
The law of large numbers states that as the number of trials in a probability experiment increases, the average of the results will converge to the expected value. This principle is significant because it underlines the importance of large sample sizes in statistical analysis, ensuring that outcomes reflect true probabilities rather than random fluctuations. It is crucial in fields such as finance, insurance, and scientific research, where accurate predictions are necessary.
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