Custom N-Door Paradox Arena
Scale the classical three-door problem to an arbitrary N number of doors. Test your intuition directly as the host systematically eliminates all but one remaining alternative.
Phase 1: Click any door below to make your initial selection.
Why does switching scale to 66.7% with N=3?
When you choose an initial door out of 3, you isolate it into a set with probability weight 1/3. The unchosen group holds a combined probability mass of (3 – 1)/3. Because the host knows where the prize is and deliberately eliminates 1 goats, that entire remaining mass collapses squarely onto the one door left unopened.
The Monty Hall Paradox
Real-time simulation data proving the 2/3 probability advantage. Explore how switching doors consistently outperforms staying in the long run.
Simulated Monty Hall scenarios processed
Empirical convergence on optimal strategy
Empirical convergence on static strategy
Mathematicians and students exploring