Dice Probability Simulator
Roll any dice expression up to 200,000 times and watch the simulated distribution converge on the exact mathematical one, computed by convolution.
2d6
Summary
- Exact mean
- 7.000
- Simulated mean
- —
- Exact SD
- 2.415
- Simulated SD
- —
- Possible range
- 2 – 12
- Observed range
- —
- Rolls done
- 0
- Outcomes
- 11
Observed vs expected
Probability table
| Total | Exact P | Observed | Count | Δ |
|---|---|---|---|---|
| 2 | 2.778% | — | — | — |
| 3 | 5.556% | — | — | — |
| 4 | 8.333% | — | — | — |
| 5 | 11.111% | — | — | — |
| 6 | 13.889% | — | — | — |
| 7 | 16.667% | — | — | — |
| 8 | 13.889% | — | — | — |
| 9 | 11.111% | — | — | — |
| 10 | 8.333% | — | — | — |
| 11 | 5.556% | — | — | — |
| 12 | 2.778% | — | — | — |
About this tool
The exact distribution is built by convolving each die's uniform distribution, with keep-highest/keep-lowest pools enumerated exactly, so the expected curve is a true probability rather than an approximation. Every simulated roll uses crypto.getRandomValues with rejection sampling, and rolling is chunked 5,000 at a time so the interface stays responsive up to 200,000 rolls. Nothing is sent anywhere — the whole simulator runs in your browser.
- 100% free — no account needed
- Runs in your browser
- Nothing is uploaded
Frequently asked questions
Is Dice Probability Simulator really free?
Yes. Dice Probability Simulator is completely free on PureBrowser — every feature, with no account, no trial, and no credit card.
Does Dice Probability Simulator upload my data?
No. Dice Probability Simulator runs entirely inside your browser, so anything you type, paste, or open stays on your own device.
Do I need to sign up or install anything?
Neither. There is no account and nothing to download — open the page and Dice Probability Simulator is ready to use on desktop or mobile.
Does Dice Probability Simulator work offline?
Once the page has loaded, yes. All of the processing happens locally in your browser, so it keeps working without a connection.
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