Where the numbers actually come from.
Every house-edge figure, every probability, every cell of the basic-strategy chart is the output of a calculation — not an opinion. These are the long-form derivations: the expected-value arithmetic behind the numbers the rest of the encyclopedia quotes. Each figure carries its rule premise. Nothing is asserted that cannot be computed.
The pass line and free odds, derived
The pass line resolves to exactly 7/495. The odds bet behind it pays true and carries no edge at all. Here is where both numbers come from, bet by bet.
Variance — the other half of the math
Two games with the same house edge can feel completely different. Standard deviation is why — and here is how it is computed per hand.
The working vocabulary of the pit
Colour up, hand signals, the cut card, the toke, third base — the terms and unwritten procedure every table player is assumed to already know.
How rule variants move the house edge
6:5 naturals, the single zero, dealer hitting soft 17, La Partage — each rule is a measurable shift in the edge. Here is the ledger.
House edge, computed game by game
House edge is one formula applied to every bet on the floor. We define it, then compute it for roulette, craps, baccarat and blackjack.
Baccarat Banker, Player and Tie probabilities
The exact win frequencies for Banker, Player and Tie, the fixed drawing tableau that produces them, and how the 5% commission is set.
The blackjack basic-strategy table, derived
Why you hit 16 against a 10 but stand against a 6 — the expected-value logic behind all 250 cells of the basic-strategy grid.