Baccarat math

Baccarat odds: the payout is not the probability.

A useful baccarat comparison needs three numbers: how often an outcome occurs, what the casino pays, and the resulting expected loss per unit wagered.

Eight-deck reference

Under a common commission game, Banker wins about 45.86% of all resolved and tied rounds combined, Player about 44.62%, and Tie about 9.52%. With a 5% Banker commission and an 8-to-1 Tie payoff, published analysis puts house edge around 1.06%, 1.24% and 14.36% respectively.

BetApprox. outcome probabilityCommon payoutApprox. house edge
Banker45.86%0.95:1 net with 5% commission1.06%
Player44.62%1:11.24%
Tie9.52%8:114.36%

Values are for a common eight-deck punto banco model. Different deck counts, commission rules and tie payouts can change the numbers.

Why Banker can win more often without being a 50/50 coin flip

The fixed third-card procedure gives Banker a small structural advantage because Banker may act with information about Player’s third card. The casino then claws back that advantage through the commission on winning Banker wagers.

Why Tie is a useful lesson in casino math

Tie looks attractive because 8-to-1 is a visually large payout. But a payout is only generous relative to probability. If the true likelihood is too low for the posted payoff, the bet can still be expensive in expected-value terms.

That is the recurring pattern Baccaret wants readers to recognize across casino games: large payout ≠ good value.

Expected cost example

If a bet has a 1.06% house edge, the long-run expected loss is about $1.06 per $100 initially wagered. That is not a prediction that a $100 session loses $1.06. Short sessions can finish far above or below expectation.

What changes the number?