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Probability theory provides the mathematical framework for quantifying uncertainty and reasoning about random events, forming the foundation of statistics, machine learning, and decision-making under risk. This simulator lets you design experiments—coin flips, dice rolls, card draws—run thousands of trials in seconds, and watch the empirical frequency histogram converge toward the theoretical probability distribution. Named distributions, the law of large numbers, and the central limit theorem all reveal themselves through direct experimentation.
probability · random variables · probability distributions · central limit theorem · expected value · law of large numbers
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