Applied Math

Simulation and Statistics Tools

Spreadsheets, code and tests for checking game claims.

Chi-Square Tests for Checking Loaded Dice

Learn how a chi-square test compares observed die counts with the counts a fair die would give, with a worked example, formulas, and cautions on interpretation.

4 min read

Confidence Intervals for Win Rates

See how uncertain an observed win rate is. Worked examples of 10, 100 and 1,000 games show how the confidence interval narrows as the sample size grows.

3 min read

Random Number Generators in Games Explained

How random number generators work in games: pseudo-random sequences, seeds, what statistical quality they guarantee, and the mistakes that cause biased results.

4 min read

Seeds and Reproducible Randomness

Random seeds explained: how a starting value makes a pseudo-random sequence repeatable, how to use them in Python and spreadsheets, and the mistakes to avoid.

4 min read

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