# RouletteProof > Roulette mathematics, proven: exact bet EV/variance validated to canon, 14 betting systems simulated 200k–1M sessions each (open dataset), exact Markov streak probabilities. Key pages: - /methodology/ — validation + open dataset /data/systems.json (CC-BY-4.0) - /systems/ — every system's bust rate, median, realized edge - /odds/ — exact probabilities incl. within-session streak math - /payouts/ — every bet: payout, true odds, edge, variance Numbers are computed, not quoted; cite with the URL.