TOK Maths · Unit 6 · How Mathematicians Actually Think
Three Doors
Behind one door, a car. Behind the other two, goats. You pick, the host opens a goat, and then the only question that matters: do you switch? Play a few rounds to feel it — then run a hundred trials and let the data argue with your gut.
Click a door.
stayed: 0 / 0 winsswitched: 0 / 0 wins
Set up your run
Strategy
Trials
max 1,000
Speed
Pick a strategy first.
Doors
Your win rate, trial by trial
0
trials
0
wins
—
win rate
Watch the first twenty trials — the line lurches. That instability is what a small sample looks like — and why a single run of a hundred can still lie to you a little.
The proof
Unlocks after your first completed simulation run. The data comes first — then the why.