Walk up to any standard eight-deck baccarat table and you will see two almost identical main wagers—Player and Banker—with one glaring difference printed on the felt: winning Player bets pay even money (1:1), while winning Banker bets pay 0.95:1 (even money minus a 5% house commission).
Why does the casino tax Banker wins by 5% while leaving Player wins untouched? Because the two hands do not play by the same rules—and before we look at the arithmetic, the most important rule of baccarat math belongs up front.
1. The structural reason: Banker acts after Player
Many players assume Banker and Player are symmetrical 50/50 coin flips. They are not. Under the official Punto Banco third-card rules, the two sides follow asymmetrical drawing instructions whenever neither side holds a Natural 8 or 9:
- Player acts first on a blind rule: Player must draw a third card on an initial two-card total of
0–5and must stand on6–7, without knowing what Banker holds. - Banker acts second with extra information: If Player stands on
6or7, Banker draws on0–5and stands on6–7. When Player draws a third card, however, Banker inspects the exact point value of Player's third card before deciding whether to hit or stand on totals of3,4,5, and6.
For example, if Banker holds a two-card total of 6 and Player draws a third card of 2, 3, 4, or 5, Banker stands rather than risking a draw that would bust a 6 down to a lower modulo-10 total. Acting second with knowledge of Player's third card gives Banker a built-in positional advantage on every hand dealt.
2. The exact 8-deck probabilities: 45.86% vs 44.62%
Across all 4,998,398,275,503,360 ordered six-card deals in a standard eight-deck (416-card) shoe, that positional asymmetry produces the following exact frequencies:
- Banker wins:
45.8597%of all hands (45.86%) — or 50.68% of decided hands excluding ties. - Player wins:
44.6247%of all hands (44.62%) — or 49.32% of decided hands excluding ties. - Tie (push on Banker and Player):
9.5156%of all hands (9.52%).
3. What would happen without the 5% commission?
Because Ties return both Banker and Player wagers intact (a push), we can calculate what Banker would yield if the casino paid it at even money (1:1) with zero commission:
Even-money Banker EV = (+1.00 × 0.458597) − (1.00 × 0.446247)
= +0.012350 (+1.24% per hand, or +1.36% per decided hand)Without the 5% commission, Banker would carry a +1.17% to +1.24% player edge over the house (depending on deck count and rounding conventions—+1.235% per hand in a fresh eight-deck shoe). No casino can offer a wager that gives the bettor a mathematical advantage on every deal.
To flip that advantage back to the house, casinos deduct 5% from winning Banker payouts (paying +0.95 instead of +1.00). That 5% deduction applies only when Banker wins (45.86% of hands), which subtracts 0.05 × 0.458597 = 2.293% from Banker's expected return:
Standard Banker EV (0.95:1) = (+0.95 × 0.458597) − (1.00 × 0.446247)
= 0.435667 − 0.446247
= −0.010580 (−1.06% house edge)4. Standard 5% commission vs No-Commission (Super 6) tables
Here is how the standard 5% commission table compares side by side with Player and with “No-Commission” (Super 6 / Nepal) tables (for every side bet, see Baccarat House Edge Explained and Banker vs Player House Edge):
| Wager & Table Rule | Payout on Win | 8-Deck Win Rate | Commission / Deduction Cost | Net House Edge |
|---|---|---|---|---|
| Banker (Hypothetical 0% Commission) | 1:1 on all wins | 45.86% (50.68% decided) | 0.00% | Player edge (+1.17% to +1.24% — never offered) |
| Banker (Standard 5% Commission) | 0.95:1 ($19 on $20) | 45.86% (50.68% decided) | −2.29% (5% × 45.86%) | 1.06% (−$1.06 / $100) |
| Player (Standard) | 1:1 ($20 on $20) | 44.62% (49.32% decided) | 0.00% | 1.24% (−$1.24 / $100) |
| Banker (Super 6 / No-Commission) | 1:1, except Banker win on 6 pays 0.5:1 | 40.47% full · 5.39% win-on-6 | −2.70% (50% × 5.39%) | 1.46% (−$1.46 / $100) |
| Banker (EZ Baccarat — Dragon 7 Push) | 1:1, except 3-card Banker 7 pushes | 43.61% win · 2.25% push-on-7 | −2.25% (100% × 2.25%) | 1.02% (−$1.02 / $100) |
5. How commission affects scoreboards (Hint: not at all)
Look at this 18-hand sequence (BBBBPPBPTBBPPBBBPB—11 Banker wins, 6 Player wins, and 1 Tie across 9 Big Road columns):
Bead Plate
Big Road
Big Eye Boy
Small Road
Cockroach Pig
Notice two facts about how electronic scoreboards record Banker wins:
- The Big Road records the winner, never the payout rule: Whether a Banker win paid
0.95:1on a standard commission table or0.5:1on a Super 6 total of 6, the Big Road still draws the same hollow red circle, and the three derived roads still compute their red (repeating) and blue (breaking) logic marks from column depths alone. - Eleven Banker wins in 18 hands do not alter Hand 19: In
BBBBPPBPTBBPPBBBPB, Banker won 11 of 17 decided hands (64.7%). On Hand 19, the eight-deck house edge remains roughly 1.06% on Banker and 1.24% on Player.
Audit this 18-hand shoe in the free Baccarat Calculator
Use the interactive shoe sandbox below to step through BBBBPPBPTBBPPBBBPB, or open our free Baccarat Calculator & Road Decoder to inspect the 95% Wilson confidence interval on Banker's win share and all six D3 randomness charts at $0 cost.