# probability
Probability is the mathematics of uncertainty, and nothing exposes how badly human intuition handles it like watching thousands of trials run in seconds. This tag gathers the site's chance-and-randomness simulations: switch doors ten thousand times in the Monty Hall Paradox to see why switching wins, throw balls through pegs on the Galton Board and watch a normal curve emerge from pure randomness, or estimate π by dropping needles in Buffon's Needle. Card counters can drill strategy in the Blackjack Strategy Simulator, statisticians can explore sampling with Student's t-Test and the Law of Large Numbers, and puzzle fans can test the counter-intuitive Birthday Paradox, Coupon Collector's Problem and Secretary Problem — each one a classic probability result you can verify by simulation instead of taking on faith.
Found: 16 simulations · 0 articles
🧪 Simulations (16)
📊 Facts
How many probability simulations are in this collection?
16 simulations, spanning classic paradoxes, Monte Carlo methods, statistical inference and optimal-stopping puzzles.
Which sims use Monte Carlo methods?
Monte Carlo π and Buffon's Needle both estimate π by random sampling — one throws random points, the other drops needles on ruled lines.
What's the famous "switch your choice" simulation?
The Monty Hall Paradox — run it enough times and the 2/3-vs-1/3 switching advantage becomes impossible to argue with.
Is there anything on Bayesian statistics?
Yes — Bayesian Updating shows belief converging toward the truth as evidence accumulates, alongside frequentist tools like Student's t-Test.
Looking for more? Dive into the full library of 1000+ interactive, browser-based simulations, or browse every topic.