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Monty Hall for a quality-control chart
Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a quality-control chart live below — adjust the inputs and watch it respond, right in your browser.
Monty Hall ProblemLive
always switch
Controls
Pick one of three doors; the host, who knows where the car is, opens a losing door and offers a switch. Should you? Yes — switching wins two times out of three. Your first pick is right only 1/3 of the time, so the other 2/3 of the probability collapses onto the remaining door. The simulation converges to exactly that, however stubborn intuition is.
Data Inspector
Games0
Switch win rate0.0%
Stay win rate0.0%
Governing equation
Reading this result: Early on the two rates jitter around 50% because the sample is tiny — let it run and the switch rate climbs toward its true 66.7%.
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Frequently asked questions
- Is this good for students?
- Yes — this version of "Monty Hall for a quality-control chart" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.