The law of large numbers, which states that as a sample size increases, the average value of a random variable will approach its expected value, can also be referred to as the law of averages, the law of convergence, or the central limit theorem. These synonyms are commonly used in statistical analysis to describe the phenomenon where the values of a random sample will become more stable and predictable as the sample size increases. The law of averages is often used in games of chance to predict the likelihood of certain outcomes based on the statistical probability of past events, while the central limit theorem is used to explain the bell curve distribution of data sets.