General Stein

General Stein’s theorem provides a way to understand the behavior of a large collection of independent, random events—like the results of multiple coin flips or dice rolls. It states that under certain conditions, the proportion of successful outcomes (such as heads or a specific result) will closely approximate the expected probability as the number of trials increases. Essentially, the theorem assures us that with many repeated trials, the overall outcome will align with the predicted probability, highlighting the law of large numbers and helping us gauge the reliability of statistical predictions in probabilistic scenarios.