Fat Chance: Probability from the Ground Up
by Benedict Gross, Joseph Harris, Emily Riehl · edX
A HarvardX introductory course that builds probability from counting principles: permutations, combinations, the binomial distribution, expected value, conditional probability, and the normal approximation. Learners develop the quantitative reasoning to calculate probabilities and assess risk in everyday and applied settings.
More resources on Probability & Statistics
Probability Theory: The Logic of Science
Upgrades epistemology by treating probability as the rigorous logic of science and reasoning under incomplete information.
The Mathematics of Poker
2006. Where the Risk of Ruin mathematics comes from. The most enjoyable book on this list if you like equations.
The Theory of Gambling and Statistical Logic
2nd edition, 2009. The primary text on gambling mathematics, and heavy going. The place to end up rather than the place to start.
Practical Casino Math
2nd edition. The textbook version of Hannum's free casino-math guide; only worth buying for the full treatment.
The Economics of Casino Gambling
Free on the AEA site. The source of the house-advantage and standard-deviation table used in casino-math introductions.
Gaming Revenue Reports
Free primary data, monthly, 2004 to date. Twelve-month rolling win and win percentage by game.