Probability theory is the mathematics of uncertainty. It governs everything from casino games to quantum mechanics, from weather forecasts to machine learning. Yet our intuitions about probability are notoriously unreliable — as the Monty Hall problem and the birthday paradox demonstrate, the correct answer often feels deeply wrong.
These simulations let you explore probability through experimentation rather than formulas. Run thousands of Monty Hall games to see why switching wins 2/3 of the time. Watch balls cascade through a Galton board to form a perfect bell curve. Discover the surprising birthday paradox. Experience the secretary problem's elegant 37% rule.