How does Dice Probability Simulator make its random choices?

Every die uses an independent Web Crypto rejection-sampled face draw; exact probabilities are deterministic counts.

Does Dice Probability Simulator upload my inputs or results?

No. Player names, teams, results, and custom settings stay in the current browser tab and are not uploaded.

When should I use Dice Probability Simulator?

Use it to compare theoretical and experimental dice-sum behavior in a class, test, or tabletop design exercise.

PRIVATE BROWSER TOOL · PHASE 5

Dice Probability Simulator

Simulate standard dice pools and compare observed sum frequencies with exact theoretical probabilities when tractable. The complete workflow runs locally in this browser, with visible controls and a result you can inspect before copying or downloading.

LOCAL WORKBENCH

Generate a result

No upload · no account · no URL storage

Choose your settings, then select Generate.

How it works

Roll every die in every trial with secure bounded-integer sampling and add the fixed modifier.
Count observed sums and report frequency, percentage, mean, minimum, and maximum.
When the state space is bounded, calculate exact sum counts by dynamic convolution for comparison.

Worked example

For 2d6, the exact comparison shows sum 7 has 6 of 36 combinations while the simulation reports its observed frequency.

Limits and interpretation

Runs are capped at 100 dice, 1,000 sides, one million trials, and two million aggregate secure rolls.
Exact probability output is skipped when the dynamic-programming state space exceeds 250,000 work units.
Simulation results are educational and must not be used for wagering or regulated decisions.

Privacy

Your inputs and generated results stay in this browser. This tool does not put them in a URL, analytics event, server log, or external request.

Frequently asked questions

How does Dice Probability Simulator make its random choices?: Every die uses an independent Web Crypto rejection-sampled face draw; exact probabilities are deterministic counts.
Does Dice Probability Simulator upload my inputs or results?: No. Player names, teams, results, and custom settings stay in the current browser tab and are not uploaded.
When should I use Dice Probability Simulator?: Use it to compare theoretical and experimental dice-sum behavior in a class, test, or tabletop design exercise.