For players who want a classic casino table game without memorizing a 270-cell blackjack basic strategy chart, the choice almost always comes down to two games: baccarat and roulette. On the surface, their main outside wagers look nearly identical—picking Banker or Player on a baccarat felt feels just as effortless as placing a chip on Red or Black, Odd or Even, or 1–18 or 19–36 on a roulette layout.
Under the hood, however, the mathematical gap between baccarat vs roulette odds is enormous. In standard eight-deck baccarat, the Banker wager carries a 1.06% house edge ($1.06 expected statistical cost per $100 wagered) and the Player wager carries a 1.24% house edge ($1.24 per $100). Step over to an American double-zero roulette wheel (0 and 00) and that same $100 even-money wager faces a 5.26% house edge ($5.26 per $100)—nearly five times the cost of the Banker wager. On modern triple-zero wheels (0, 00, 000), the edge jumps to 7.69%, and even a European single-zero wheel (0) charges 2.70% unless special French half-back rules apply.
Below is the complete, side-by-side breakdown of baccarat house edge versus every major roulette wheel configuration, why baccarat's 9.52% Tie rate protects your main bet while roulette's green zero pockets sweep it, what 100 decisions cost at $25 per wager, and how to read our verified 18-hand comparison shoe (BPBPPBBPPPBBPBBPTB) inside the free Baccarat Calculator & Road Decoder.
1. Every baccarat and roulette wager compared side by side
To see where 1.06% vs 5.26% comes from, here is every standard baccarat wager ranked alongside every common roulette wheel format from lowest house edge to highest:
| Game & Wager Type | Payout & Zero / Tie Rule | Win / Push Probability | House Edge | Expected Cost / $100 |
|---|---|---|---|---|
| Baccarat — Banker Wager (8-deck standard) | 0.95:1 (5% commission); Ties push | 45.86% win · 9.52% push | 1.06% | −$1.06 |
| Baccarat — Player Wager (8-deck standard) | 1:1 even money; Ties push | 44.62% win · 9.52% push | 1.24% | −$1.24 |
| French Roulette — Even-Money with La Partage (Single 0) | 1:1; green 0 returns 50% of stake | 48.65% win · 2.70% half-loss | 1.35% | −$1.35 |
| Baccarat — No-Commission / Super 6 Banker | 1:1 (Banker win on 6 pays 0.5:1) | 40.47% full · 5.39% half · 9.52% push | 1.46% | −$1.46 |
| European Roulette — Single Zero (0 only, 37 pockets) | 1:1 outside / 35:1 straight; 0 loses | 48.65% win (even-money) · 0% push | 2.70% | −$2.70 |
| American Roulette — Double Zero (0 & 00, 38 pockets) | 1:1 outside / 35:1 straight; 0 & 00 lose | 47.37% win (even-money) · 0% push | 5.26% | −$5.26 |
| Triple-Zero Roulette (0, 00 & 000, 39 pockets) | 1:1 outside / 35:1 straight; all 3 zeros lose | 46.15% win (even-money) · 0% push | 7.69% | −$7.69 |
| American Roulette — Five-Number Basket (0-00-1-2-3) | 6:1 payout across 5 of 38 pockets | 13.16% win · 86.84% loss | 7.89% | −$7.89 |
| Baccarat Side Wagers — Pair (11:1) & Tie (8:1) | 11:1 initial pair / 8:1 tie total | 7.47% Pair win / 9.52% Tie win | 10.36% / 14.36% | −$10.36 / −$14.36 |
Look closely at the top five rows of that table. Both main wagers in standard baccarat—Banker at 1.06% and Player at 1.24%—carry a lower house edge than every roulette configuration on Earth, including high-limit French single-zero tables with La Partage (1.35%), standard European single-zero wheels (2.70%), and standard North American double-zero wheels (5.26%).
2. Where the math comes from: green zero pockets vs baccarat Ties
Why do two games offering 1:1 even-money outside wagers produce such different long-run costs? The answer comes down to how each game treats its green outcome: the green 0 / 00 pockets on a roulette wheel versus the green Tie slash on a baccarat scoreboard.
How green zero pockets tax every roulette spin
Every payout on a roulette layout—from a 1:1 Red/Black bet to a 2:1 Dozen/Column bet or a 35:1 single-number bet—is calibrated as if the wheel had only 36 numbers (1 through 36):
- American Double-Zero Wheel (38 pockets): Adding
0and00increases the denominator from 36 to 38 while leaving the payouts frozen at 36-number math. On an even-money Red or Black bet, you win +1 unit on 18 pockets and lose −1 unit on 20 pockets (the 18 opposite-color pockets plus the 2 green zeros):(18/38 × +1) + (20/38 × −1) = −2/38 = −5.263%. Even if you switch to a single number paying 35:1, the math is identical:(1/38 × +35) + (37/38 × −1) = −2/38 = −5.263%. - European Single-Zero Wheel (37 pockets): Removing
00leaves 18 winning pockets and 19 losing pockets on an even-money wager:(18/37 × +1) + (19/37 × −1) = −1/37 = −2.703%. That cuts the American edge nearly in half, yet at $2.70 per $100 staked it still costs more than double a baccarat Banker (1.06%) or Player (1.24%) wager. - French La Partage / En Prison (Single-Zero Even-Money Only): On select European or high-limit Las Vegas single-zero tables, the La Partage rule refunds half your stake (−0.5 units) when the ball lands in
0on an even-money outside bet (Red/Black, Odd/Even, High/Low). That halves the single-zero edge on those specific bets to−0.5/37 = −1.351%(while inside numbers and dozens remain at 2.70%). - Triple-Zero Wheel (39 pockets): Adding a third green pocket (
000, often branded with a casino logo) pushes every even-money and straight-up bet to(18/39 × +1) + (21/39 × −1) = −3/39 = −7.692%—more than seven times the house edge of a baccarat Banker wager.
Why baccarat's 9.52% Tie rate protects your main bet instead of sweeping it
In eight-deck baccarat, Player and Banker tie on 9.5156% of all hands (roughly 1 hand in 10.5). Unlike roulette—where landing on green 0 or 00 sweeps your Red/Black chip into the dealer's rack—a Tie in baccarat is a push on both the Banker and Player boxes. Your chip stays right where it is, and you lose $0.
Among the remaining 90.4844% of hands that produce a winner, the fixed third-card drawing rules give the Banker hand a slight positional advantage because Banker acts second after seeing Player's drawn third card:
- Banker wins 45.8597% of all hands (or
50.68%of decided, non-tie hands). - Player wins 44.6247% of all hands (or
49.32%of decided, non-tie hands). - Ties occur on 9.5156% of all hands (0 net change to Banker or Player stakes).
As we show in what is the best bet in baccarat, the Player box pays full 1:1 even money on its 44.6247% win rate against a 45.8597% loss rate, yielding 0.446247 − 0.458597 = −1.235% (1.24% house edge). The Banker box wins more often (45.8597%) and pays 0.95:1 after the standard 5% commission, yielding (0.95 × 0.458597) − 0.446247 = −1.058% (1.06% house edge).
3. Over 100 hands or spins: expected cost and why Martingale fails
What does the difference between 1.06%, 2.70%, and 5.26% look like over an evening of 100 decisions at $25 per hand or spin ($2,500 in total cumulative action)?
| 100 Decisions @ $25 ($2,500 Total Action) | House Edge | Expected Statistical Cost | Cost Multiplier vs Banker |
|---|---|---|---|
| Baccarat — Banker Wager | 1.06% | −$26.50 | 1.0× baseline |
| Baccarat — Player Wager | 1.24% | −$31.00 | 1.17× |
| European Single-Zero Roulette (Even-Money / Inside) | 2.70% | −$67.50 | 2.55× |
| American Double-Zero Roulette (All Standard Bets) | 5.26% | −$131.50 | 4.96× (nearly 5×) |
| Triple-Zero Roulette (0, 00, 000) | 7.69% | −$192.25 | 7.25× |
Why doubling progressions (Martingale) fail in both games
Roulette is the historical birthplace of the Martingale doubling progression—doubling your wager after every loss ($25 → $50 → $100 → $200 → $400 → $800 → $1,600) in hopes that a single win will offset the preceding losses by +1 base unit. Many roulette players move to baccarat thinking that trading a 5.26% wheel for a 1.06% or 1.24% shoe fixes the flaw in the Martingale.
It does not. While baccarat's lower house edge and 9.52% Tie push rate slightly reduce the probability of a seven-loss sequence compared with an American roulette wheel (on decided baccarat hands, losing 7 Player wagers in a row happens on 0.5068^7 ≈ 0.86% of sequences, whereas losing 7 Red/Black spins on a double-zero wheel happens on (20/38)^7 ≈ 1.11% of sequences), the structural ceiling is identical:
- Table maximums cap the progression: On a $25–$2,500 table, seven consecutive losses consume $3,175 in cumulative stakes ($25 + $50 + $100 + $200 + $400 + $800 + $1,600), and the eighth bet of $3,200 is blocked by the $2,500 table limit.
- Every doubled wager multiplies expected cost: Because every individual hand or spin carries a negative mathematical expectation (−1.06% / −1.24% in baccarat; −2.70% / −5.26% in roulette), putting larger average bets into action only increases the total dollars multiplied by that house percentage.
4. Roulette marquees vs baccarat scoreboards: trace an 18-hand shoe
At a roulette wheel, the electronic totem pole beside the dealer simply lists the last 16 to 20 winning numbers in two vertical columns (red numbers on one side, black on the other, green zeros centered) along with a “hot and cold numbers” ticker.
At a baccarat table, the display is vastly richer: five interconnected Macau grids (see our complete guide on how to read baccarat roads) that track both raw outcomes and multi-column symmetry. Just remember the golden rule of scoreboard colors: on the Bead Plate and Big Road, red = Banker, blue = Player, and green = Tie. On the three derived roads (Big Eye Boy, Small Road, Cockroach Pig), red = pattern repetition / symmetry and blue = pattern break—never Banker or Player.
Worked 18-hand trace: BPBPPBBPPPBBPBBPTB
Look at this engine-verified 18-hand shoe (BPBPPBBPPPBBPBBPTB—9 Banker wins, 8 Player wins, and 1 Tie), which mixes early single-hand chops with two- and three-hand streaks:
BPBPPBBPPPBBPBBPTB
Bead Plate
Big Road
Big Eye Boy
Small Road
Cockroach Pig
Here is how the production road engine builds every board from BPBPPBBPPPBBPBBPTB:
- Big Road (11 columns): Hands 1–3 alternate
B, P, Bto form three single-bead columns (Columns 1, 2, and 3, each depth 1). Hands 4–5 put Player at depth 2 in Column 4; Hands 6–7 put Banker at depth 2 in Column 5; Hands 8–10 push Player to depth 3 in Column 6; Hands 11–12 put Banker at depth 2 in Column 7; Hand 13 is a single Player in Column 8 (depth 1); Hands 14–15 put Banker at depth 2 in Column 9; Hand 16 starts Column 10 with Player at Row 1 and Hand 17 draws a green Tie slash across Column 10, Row 1; and Hand 18 starts Column 11 with Banker at Row 1. - Big Eye Boy (lookback 1 — 15 entries: R R B B R R R B B R B B B B B): Because Column 2 only reached depth 1, Big Eye Boy starts on Hand 3 at Column 3, Row 1 via Rule 1 (comparing Column 2 depth 1 against Column 1 depth 1 → same depth = Red). On Hand 4 (Column 4, Row 1), Rule 1 compares Column 3 (depth 1) with Column 2 (depth 1) → Red again. Then on Hand 5 (Column 4, Row 2), Player drops to Row 2 for the first time:
- Rule 2 Case 2B (First drop below the match → Blue): At Column 4, Row 2 (Entry #3), Column 3 stopped one row higher at Row 1, so Big Eye Boy records Blue. The same Case 2B transition happens at Entry #8 (Column 6, Row 3, dropping one row below Column 5's depth of 2) and Entry #13 (Column 9, Row 2, dropping one row below Column 8's depth of 1).
- Rule 2 Case 2A (Both drop deeper → Red): At Entry #5 (Column 5, Row 2), Entry #7 (Column 6, Row 2), and Entry #10 (Column 7, Row 2), the comparison column 1 step to the left also reached at least Row 2, so both inspected cells are filled → Red.
- Small Road (lookback 2 — 14 entries: R B B B B R B B R R B R R R) & Cockroach Pig (lookback 3 — 13 entries: B B B B B R B R R B R B B): Compare what all three derived roads record on Hand 10 (Column 6, Row 3)—one of the best teaching hands in this shoe! When Player reaches Row 3 of Column 6, Big Eye Boy (looking 1 column back at Column 5, depth 2) and Small Road (looking 2 columns back at Column 4, depth 2) both experience their first drop below a depth-2 column (Rule 2 Case 2B) and record Blue. Simultaneously, Cockroach Pig looks 3 columns back at Column 3, which had a depth of only
1! Because Column 3 already finished above Row 2, both Row 2 and Row 3 in Column 3 are empty (Rule 2 Case 2C: both already finished above)—so Cockroach Pig records Red (Mark #6)!
Next-hand preview on Hand 19 (If Banker vs If Player)
At the end of BPBPPBBPPPBBPBBPTB, Column 11 sits at Row 1 with a single Banker bead (preceded by Column 10 depth 1, Column 9 depth 2, and Column 8 depth 1). Here is what Hand 19 will add to the three derived roads:
- If Hand 19 is Banker (Column 11, Row 2 — Rule 2): Continuing down Column 11 to Row 2 triggers Rule 2. Big Eye Boy checks Column 10 (depth 1 → Case 2B first drop below the match = Blue); Small Road checks Column 9 (depth 2 → Case 2A both drop deeper = Red); and Cockroach Pig checks Column 8 (depth 1 → Case 2B first drop below the match = Blue).
- If Hand 19 is Player (Column 12, Row 1 — Rule 1): Starting a new column at Row 1 triggers Rule 1, comparing Column 11's finished depth (
1) against Column 10 (depth1→ Big Eye Boy = Red), Column 9 (depth2→ Small Road = Blue), and Column 8 (depth1→ Cockroach Pig = Red).
5. Explore this shoe in our free tools & courses
Whether you are comparing table math before a casino trip or learning how Macau scoreboards work, you can practice every rule for $0 on Baccarat Smart:
- Interactive Road Decoder: Open /calculator with this 18-hand shoe preloaded to tap additional Banker, Player, or Tie results and inspect every derived mark.
- How It Works & Free Lesson Preview: See how our training platform works or jump straight into the 10 free interactive lessons in Module 1 and the full 6-module scoreboard curriculum.