PPolySim OS
Use case · powered by Monty Hall

Monty Hall for a dice-fairness check

Simulate a dice-fairness check live in your browser. This runs the real Monty Hall solver — adjust the inputs, watch it respond instantly, and export the result. No install, no account.

Monty Hall ProblemLive

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.

▶ Run in Python

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%.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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About this simulation

The full Monty Hall tool models a dice-fairness check with the same numerics engineers and scientists use — running entirely client-side. Change any parameter and the result updates in real time, so you can build intuition, check a design, or teach the concept without spreadsheets or installs.

More you can do with Monty Hall

Other ways to simulate a dice-fairness check

Frequently asked questions

How do I simulate a dice-fairness check?
Open this page and use the live Monty Hall tool below — set your inputs and the simulation runs instantly in your browser using real numerics. No install, no account needed.
Is it free?
Yes. The simulation runs free in your browser. A one-time unlock or a Pro plan adds advanced parameters, saved presets, data import, and clean exports.
Can I use my own numbers?
Absolutely — every input is adjustable, and with data import you can drive a dice-fairness check from your own measurements.