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EXACT DECK ENUMERATION · 2-DECK (104 CARDS)

2-Deck Baccarat Combinatorial Proof (104-Card Shoe Odds & House Edge)

Double-deck salon privé pits and controlled laboratory shoe comparisons. In a fresh 2-deck shoe containing 104 cards (32 zero-value cards and 8 of each pip Ace–9), exact six-card enumeration yields 45.9073% Banker wins, 44.6508% Player wins, and 9.4419% Ties, resulting in a 1.0389% Banker house edge and 1.2565% Player house edge.

2D Banker Edge
1.039%
2D Player Edge
1.256%
2D Tie Edge (8:1)
15.02%
2D Shoe Cards
104
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B P B P B P B B P P B B P P B P B P
Big Eye Boy = = = = = ≠ ≠ = = = = = = ≠ = =
Small Road = = = = ≠ ≠ ≠ ≠ = = = = ≠ ≠ =
Cockroach Pig = = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ ≠ ≠

2-deck sample shoe (104 cards). Derived-road colors reflect Big Road column structure, never 2-deck card depletion.

Big Road B is Banker, P is Player Roads under it Red (=): repeating Blue (≠): breaking
Step-by-Step Mark Proofs (Rule 1 & Rule 2)
Big Eye Boy Mark #2

Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #2

Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

2D Total Card Inventory
104 cards

32 ten/face 0-point cards plus 8 per pip rank A–9.

2D Exact Banker Win Rate
45.9073%

50.6937% share of non-tie resolved decisions in 2-deck play.

2D Exact Player Win Rate
44.6508%

49.3063% share of non-tie resolved decisions in 2-deck play.

2D Banker House Edge (5% Vig)
1.0389%

Variance 0.8607 per unit staked in 2-deck shoes.

2D Natural Settlement Rate
34.3648%

Player natural 18.9694%, Banker natural 18.9694%, both 3.5740%.

D2 COMBINATORIAL WEIGHTS

2-Deck (104-Card) Six-Card Enumeration & Depletion Profile

[D2-INVENTORY] Across 104 total cards (thirty-two zero-value cards and eight per pip), six-card deal permutations reach 112,869,612,134,400 ordered sequences. Two-deck depletion cuts single-card removal impact in half compared to one deck (0.962% per card), moderating natural collisions while keeping Banker edge below 1.04%.

[D2-PAYOUTS] Tie probability climbs from 9.5156% in 1-deck to 9.5326% in 2-deck play, trimming the 8-to-1 Tie house edge to 14.207%. Combined natural frequency sits near 31.83%, resolving nearly one-third of all two-deck deals on the initial four-card layout without consulting the third-card tableau.

D2 WagerD2 Win %D2 Loss %D2 Push %D2 House EdgeD2 Variance
D2-Banker (0.95:1)45.9073%44.6508%9.4419%1.0389%0.86071
D2-Player (1.00:1)44.6508%45.9073%9.4419%1.2565%0.90542
D2-Tie (8.00:1)9.4419%90.5581%0.0000%15.0228%6.92584
D2-Naturals (8/9)34.3648%65.6352%3.5740%P:18.9694%B:18.9694%
  • D2 non-tie split: 50.6937% Banker vs 49.3063% Player across 104 cards.
  • D2 100-hand expected loss at $100/hand: $103.89 on Banker vs $125.65 on Player.
Table Reality Check

Myth vs. Truth

MythSwitching to a 2-deck shoe changes how derived roads (Big Eye Boy, Small Road, Cockroach Pig) are marked.
TruthDerived roads apply identical lookback rules (1, 2, and 3 columns back) on every shoe; only the underlying 104-card deal probabilities shift (1.0389% Banker edge).
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
  • 74 interactive lesson scoreboards and 94 inline quiz checks with plain-English mark feedback
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android