Comprehensive guide to binomial probability distribution and confidence intervals for analyzing gaming droughts. Learn how to calculate drought probability, determine statistical abnormality thresholds (p<0.05), verify advertised drop rates, and apply binomial mathematics to Diablo 4, Path of Exile, Genshin Impact, Lost Ark, Destiny 2, and other loot-based games. Includes step-by-step workflows, sample size calculations, pity system modeling, and practical examples across multiple gaming genres.
Comprehensive guide to independent trials, joint probability across multiple attempts, and pity system verification for gacha games and loot drops. Understand RNG mechanics, calculate cumulative success probability using the complement rule, verify advertised pity rates with statistical methods, and apply drop rate math to Genshin Impact, Honkai Star Rail, OSRS, and other games with reproducible formulas and worked examples.