Methodology
Every number on this site is computed by one program and checked by a second, independent method before the site can be built. If the two disagree, nothing is published.
Roulette and craps
Exact fractions: every pocket of each wheel and each of the 36 outcomes of two dice. The formula for each bet is checked by walking every pocket; the pass and don't pass lines are also checked by simulating 400,000 rounds.
Baccarat
Every possible deal from a full eight-deck and six-deck shoe, card by card and without replacement, with the punto banco third-card rules. The result is checked by simulating 300,000 coups dealt from shuffled shoes.
Blackjack
A recursive expected-value model with an infinite deck, the standard way to derive basic strategy for games with several decks: for every hand and dealer up-card it compares standing, hitting, doubling and splitting, and keeps the best. The dealer's final totals are checked against a simulation, and the model as a whole against 300,000 simulated hands of a simple strategy. Rules are listed with every table.
What we do not claim
A house edge is an average over many bets. No figure here predicts the next spin, roll or hand, and no strategy on this site turns a casino bet into a profitable one.
Updated: