Home▸Chaos & Dynamics▸🎲 Monty Hall Paradox (2D)

Monty Hall Paradox (2D)

Interactive 2D Monty Hall game: pick a door, watch the host reveal a goat, then switch or stay. Run thousands of automatic trials and watch the win rate converge to 66.7% for switching vs 33.3% for staying.

Chaos & Dynamics2DEasy60 FPS📱 Mobile-adapted⇄ 3D version

This 2D simulator recreates the classic Monty Hall game show puzzle: three doors hide one car and two goats, you pick a door, the host always opens a different door to reveal a goat, and you decide whether to stay with your original pick or switch to the other unopened door. Play by hand to build intuition, or switch to batch mode to run thousands of automatic trials at adjustable speed and watch the live win-rate readout converge to the theoretical 66.7% for always-switching versus 33.3% for always-staying — a vivid demonstration of how the host's guaranteed-goat reveal quietly shifts the odds.

⚙ Under the hood

Play the classic three-door Monty Hall game or run thousands of automatic trials, and watch the win rate for switching converge to 66.7% versus 33.3% for staying.

Monty Hallprobabilityconditional probabilityBayesian inferencegame theoryparadox

2D · HTML5 Canvas 2D · 60 FPS target · runs fully client-side, no install