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Hub 05
Authority-level education in probability, statistics, variance, standard deviation, risk of ruin, expected value, regression, sample size, and Monte Carlo concepts.
Direct Answer
Probability, statistics, variance - the language of long-term thinking.
The Gambling Mathematics Academy is built as a long-form educational reference. Each topic below is treated as its own discipline with definitions, examples, common mistakes, and further reading. Articles are added over time and link into one another to form a connected knowledge base.
Small samples are dominated by variance; thousands of bets may be needed to distinguish edge from noise.
Risk of ruin is the probability a bankroll reaches zero given edge, variance, and bet sizing.
Monte Carlo simulation runs many randomized trials to estimate possible bankroll paths and tail risks.
How many bets does it take to know whether you have an edge? More than almost anyone realizes.
Edge and variance together determine the probability that you ever go broke - here is how to think about it.
Sample space, independence, conditional probability, and the rules that govern every wager.
Why thousands of bets - not dozens - are required before short-run results say anything about skill.
How sampling-based simulation gives a realistic picture of variance, drawdowns, and risk of ruin.
