Reference material, not an app. This is an educational PDF / Word document on the mathematics and rules of casino table games. It is not a gambling application, a downloadable game, or a way to place a bet. BetCanon carries no affiliate links and recommends no operator.
What this dossier covers
Banker, Player and Tie win frequencies for a standard eight-deck shoe
The fixed third-card drawing tableau, laid out as a lookup table
Why the Banker bet wins more often, and how the 5% commission is calibrated to it
House edge for Banker, Player and Tie at both 8:1 and 9:1 tie payouts
Download the dossier
Free, no sign-up. 2026 edition · Week 22. Every figure inside carries its rule premise.
Published 2026-05-27 · BetCanon Editorial · English.
About this reference
This dossier condenses material developed at length in First Principles, the encyclopedia's derivation section, into a printable reference you can keep. As with everything on BetCanon, the figures are mathematically derived and each is presented with the rule set it assumes — because a table-game number without its premise is not a fact, only a rumour.
Basic strategy, house-edge tables and probability figures reduce the average cost of play; they do not remove it. Every casino table bet retains a positive house edge against the player, and any single session can swing far from its expectation — see variance and standard deviation for why.
Frequently asked
Why does the Banker bet win more often than the Player bet?
The Banker acts last and its third-card drawing rules depend on the Player's third card. That informational advantage produces a small but permanent edge in Banker's favour — roughly 50.7% of decided (non-tie) hands. The 5% commission exists to claw that edge back for the house.
Is the Tie bet ever worth taking?
Mathematically, no. At the common 8:1 payout the Tie carries a house edge above 14% — one of the worst standard bets on the floor. Even at 9:1 it remains far worse than Banker or Player. This dossier shows the arithmetic.
Do these probabilities change with the number of decks?
Only very slightly. The figures here assume a standard eight-deck shoe. Six-deck and single-deck baccarat shift the edges by hundredths of a percent, not enough to change which bet is best. The premise is stated on every figure.
Responsible play: This document is a mathematical reference, not gambling advice, and confers no winning system. You must be 21 or older to gamble where it is legal. If gambling stops being entertainment, call the National Problem Gambling Helpline: 1-800-522-4700 (free, confidential, 24/7).