Baccarat Game Odds Depend on the Bet and Payout Rules

In standard eight-deck baccarat, Banker wins about 45.86% of hands, Player wins 44.62%, and 9.52% end in a tie. With the usual 5% commission on Banker winnings, Banker has the lowest house edge of the three main bets: about 1.06%. That makes it the least expensive standard bet over the long run—not a profitable one. These are the baseline figures in the eight-deck probability analysis.
Win probability is not the same as payout
These figures assume standard punto banco drawing rules, eight decks, and the payouts below. “Player” and “Banker” name the two hands; you can bet on either. Cards are drawn according to fixed rules, rather than decisions you make. The hand closest to nine wins. See the published rules and payouts.
| Bet | Chance of winning per hand | Net profit on a $10 win | What happens on a tie? | House edge |
|---|---|---|---|---|
| Banker | 45.86% | $9.50 after commission | Stake returned | 1.06% |
| Player | 44.62% | $10 | Stake returned | 1.24% |
| Tie, paying 8:1 | 9.52% | $80 | Bet wins | 14.36% |
The probabilities and edges come from the eight-deck return tables. Profit excludes the returned winning stake. A returned stake with no profit is a push. House edge is the expected loss as a percentage of the amount wagered.
Banker does not win more than half of all hands. If you exclude ties, it wins approximately:
45.8597 ÷ (45.8597 + 44.6247) = 50.68% of resolved hands.
Both figures are correct; they use different denominators. The house edges above are per wager placed, including wagers that push—not just those producing a win or loss.
Check the expected cost of a $10 Banker bet
A standard Banker wager has three possible net results:
- Banker wins: +$9.50.
- Player wins: −$10.
- The hands tie: $0.
Multiply each result by its probability, using the more precise figures from the source table:
EV = (0.458597 × $9.50) − (0.446247 × $10) + (0.095156 × $0) EV ≈ −$0.1058 per $10 wager.
That is an expected loss of about 10.6 cents, or 1.058% of the stake. The commission applies to winning profit, not to every bet. Banker’s more favorable drawing rules give it a higher win probability than Player, but the commission more than offsets that advantage. See the rules and analysis.
For 100 wagers of $10 each, total money wagered is $1,000—even if you repeatedly reuse the same bankroll:
| Standard bet | Expected loss on $1,000 wagered |
|---|---|
| Banker | About $10.58 |
| Player | About $12.35 |
| Tie at 8:1 | About $143.60 |
These are long-run averages. To put variance beside that average, an illustrative model of 100 independent $10 Banker bets with the probabilities above gives a session standard deviation of about $93, far larger than the $10.58 expected loss. The calculation is:
Session SD = √[100 × (0.458597 × 9.50² + 0.446247 × 10² − 0.1058²)] ≈ $92.74.
Actual shoe-dealt hands are not exactly independent because cards are removed. The model illustrates the scale of fluctuation; it does not predict your session or set a maximum loss.
For the general calculation, see expected value and a bet’s long-run price.
“No commission” does not identify the cheapest rules
Removing commission usually comes with another payout adjustment. Two examples show why you must read the actual rule:
| Eight-deck Banker rule | House edge |
|---|---|
| Standard: wins pay 0.95:1 | 1.06% |
| No commission, but a winning Banker six pays only 0.5:1 | 1.46% |
| EZ Baccarat: a winning three-card Banker seven pushes; other wins pay 1:1 | 1.02% |
The half-pay-on-six rule is published by Casinos BC, with its edge calculated in the commission-free analysis. The separate three-card-seven rule is confirmed by Rivers Casino Philadelphia’s EZ Baccarat rules, with its edge calculated in the EZ Baccarat analysis.
Under the half-pay-on-six rule, Player’s unchanged 1.24% edge is lower than Banker’s 1.46%. “Always Banker” therefore is not a rule-independent answer.
Check Tie and side-bet payouts separately
An eight-deck Tie bet paying 9:1 has a house edge of about 4.84%, versus 14.36% at 8:1. That is a substantial improvement, but it remains more expensive than either standard main bet. Beware the wording: 9 for 1 includes the returned stake and is equivalent to 8 to 1, not 9 to 1. See the payout definitions and Tie analysis.
Side bets have their own prices. In eight-deck EZ Baccarat, Dragon 7 pays 40:1 on a winning three-card Banker seven and has a 7.61% edge. Panda 8 pays 25:1 on a winning three-card Player eight and has a 10.19% edge. The low edge on the main Banker wager does not carry over to them. See the side-bet rules and return tables.
Streak charts do not make a reversal due, and changing stake sizes does not remove the negative expectation in a fixed-probability model. If you choose to play, set an affordable loss limit beforehand. A low house edge reduces the average price of betting; it does not protect your bankroll from short-term losses.