the monty hall machine

play it once, get fooled. play it a thousand times, get schooled.

pick a door

🐐
1
your pick
🐐
2
your pick
🐐
3
your pick
stay: won 0 of 0 switch: won 0 of 0

pick a strategy, run it a thousand times, watch the averages settle

20 rounds/frame
no rounds yet
1/3 2/3 0% 50% 100% 0 250 500 750 1000 rounds played

your first pick is wrong 2 out of 3 times. switching converts every wrong first pick into a win. that is the whole trick.