Probability Lab - Free Online Statistics Lab Tool | IconVault

Run Monte Carlo probability experiments: coin flips, dice rolls and the Monty Hall problem, with a live convergence chart. Free, runs in your browser.

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Probability Lab

Monte Carlo experiments: coin, dice and Monty Hall

5 of 5 free uses left

Flip a fair coin. How often does heads come up as trials grow?

10,000
100100,000

Convergence chart

Run the simulation to watch the observed rate converge on the theoretical probability (law of large numbers).

About this tool

IconVault's Probability Lab makes the law of large numbers visible. Pick an experiment, coin flip, dice roll (six) or the Monty Hall problem with both switch and stay strategies, set 100 to 100,000 trials and run a Monte Carlo simulation. A convergence chart plots the observed win rate against the theoretical probability as trials grow, with the gap between them reported in percentage points.

It is free and runs fully in your browser, and you can copy the results as plain text for homework or notes. The honest limit: the simulation uses pseudo-random numbers from your browser, which are fine for learning but not for cryptography or real gambling analysis. With few trials the observed rate can sit far from theory; that noise shrinking as trials grow is exactly the lesson.

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