Roulette & Casino Theory Lab

Roulette & Casino Theory Lab turns abstract ideas into an approachable learning experience for students, educators, and curious minds. Move from the fundamentals of probability to independent and dependent events, distributions, random variation, the law of large numbers, expected value, and more.

Follow 12 guided lessons with clear definitions, formulas, worked examples, visual explanations, and quick knowledge checks. Your progress is saved on your device, so it is easy to continue where you left off.

Put theory into practice with six interactive experiment labs. Explore binary trials, a single die, two dice, card draws, a ball bag model, and custom weighted outcomes. Make an estimate, choose a sample size from 10 to 100,000 trials, then compare your prediction with the theoretical and observed results. Visual charts help show how random variation changes as samples grow.

Use the Probability Calculator to explore basic probability, independent events, complements, and the probability of at least one success. Search the built in glossary for 35 essential terms, complete topic challenges with explanations, and review your saved learning and experiment trends over time.

Explore a European roulette wheel strictly as a mathematical model with 37 equally likely outcomes. Study single numbers, colors, parity, ranges, dozens, and columns. Build a custom event, test it across generated trials, and use the Streak Lab to see why clusters are a normal part of randomness. Every spin is independent, and the app does not claim to predict future results.

All core learning content is included. No account, subscription, in app purchase, advertising, or personal information is required. Lesson progress, challenge results, and experiment history are stored locally on your device. You can choose to share a text summary through the system share sheet.

This app is designed solely for Roulette & Casino Theory Lab education. It does not offer real money gaming, wagers, deposits, balances, prizes, payouts, gambling advice, or links to gambling services. The roulette model and generated outcomes are provided only to explain probability, independence, and random variation.