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COMBINATORIAL DEPLETION · 2D · ACE-1 · 60% DEPTH

2-Deck Ace (1-Point Pip) Depletion at 60% Penetration (EZ Baccarat Audit DEP104)

Removing 6 of 8 Ace (1-Point Pip) (Ace-1) cards at 60% penetration of a 2-deck (104-card) shoe leaves 2 Ace-1 cards inside a 42-card stub (DEP104), producing 45.9014% Banker wins, 44.5660% Player wins, 9.5326% Ties, and a 0.9180% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9180%
Player EV (1:1)
-1.3354%
Ace-1 in 42-Card Stub
2/8
Single-Hand Std Dev
0.9358
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP104 (2D Ace-1 at 60% depth).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #2

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  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 2 beads. Different depth → blue (≠).

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

Stub Size (DEP104)
42 / 104 Cards

60% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Ace-1 Remaining
2 of 8 Cards

6 Ace cards valued at 1 modulo-10 point removed from the 2D pack.

Banker EV (EZ Bar-7)
-0.9180%

Resolved at 45.9014% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.3354%

Resolved at 44.5660% Player win rate with 0.9358 unit standard deviation.

Tie Incidence (8:1)
9.5326%

Produces a 14.2063% house hold on the 8-to-1 Tie wager in state DEP104.

FINITE-SHOE ENUMERATION · DEP104

How Ace (1-Point Pip) Depletion at 60% Depth Impacts 2D (EZ Bar-7)

Under EZ Baccarat settlement (EZ Bar-7), combinatorial state DEP104 models a 2D carrier with 42 cards left (60% dealt) and 2/8 Ace (1-Point Pip) cards remaining, producing a 0.9180% Banker edge versus 1.3354% on Player.

Comparing initial 104-card 2D weights against stub DEP104 (42 cards, 60% depth, 2 Ace-1 left) illustrates how removing aces slightly favors (dep104) banker because banker stands on (2d-60%) 6 against player third-card ace (dep104·2d-60%) while player must draw on 0–5 (+0.44 bps slope, 0.9180% EZ Bar-7 edge).

State DEP104 (2D, 60% depth, 2/8 Ace-1 left, EZ Bar-7)
Wager / MetricState DEP104 Value2D BaselineSettlement Note
DEP104 Banker (EZ Bar-7)45.9014% (-0.9180% EV)45.8998%DEP104 2D 60% (2 Ace-1)
DEP104 Player (1:1)44.5660% (-1.3354% EV)44.5676%DEP104 42-card 2D stub (0.9358 SD)
DEP104 Tie (8:1)9.5326% (-14.2063% EV)9.5326%DEP104 Ace-1 (6 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP104

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP104 · 2D)

Learners auditing DEP104 (2D at 60% depth, 2/8 Ace-1 in 42 stub cards) can verify that EZ Baccarat house hold (0.9180% Banker, 1.3354% Player, 14.2063% Tie) operates independently of prior Big Road streaks.

  • DEP104 (2D 60%): 42/104 cards with 2/8 Ace-1 (7A).
  • DEP104 (Ace-1 split): 45.9014% Banker, 44.5660% Player, 9.5326% Tie in 42 2D cards (7B).
  • DEP104 (EZ Bar-7 EV): -0.9180% Banker, -1.3354% Player, -14.2063% Tie, 0.9358 SD at 60% (7C).
  • DEP104 (2D roads): red/blue marks log Big Road columns, never 2 Ace-1 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 6 Ace (1-Point Pip) cards leave a 2D shoe by 60% depth (DEP104), Big Eye Boy red or blue marks show whether Banker or Player will win next.
TruthDerived-road red and blue marks only compare Big Road column lengths and never track Ace-1 stub counts (2/8 in 42 cards); Banker carries a -0.9180% expectation under EZ Baccarat.
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