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COMBINATORIAL DEPLETION · 2D · RANK-6 · 60% DEPTH

2-Deck Six-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP149)

Removing 6 of 8 Six-Pip Card (Rank-6) cards at 60% penetration of a 2-deck (104-card) shoe leaves 2 Rank-6 cards inside a 42-card stub (DEP149), producing 45.8957% Banker wins, 44.5717% Player wins, 9.5325% Ties, and a 0.9294% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9294%
Player EV (1:1)
-1.3240%
Rank-6 in 42-Card Stub
2/8
Single-Hand Std Dev
0.9373
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP149 (2D Rank-6 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #2

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP149)
42 / 104 Cards

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

Rank-6 Remaining
2 of 8 Cards

6 6-pip cards (standing threshold and Banker 6 trigger) removed from the 2D pack.

Banker EV (EZ Bar-7)
-0.9294%

Resolved at 45.8957% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.3240%

Resolved at 44.5717% Player win rate with 0.9373 unit standard deviation.

Tie Incidence (8:1)
9.5325%

Produces a 14.2072% house hold on the 8-to-1 Tie wager in state DEP149.

FINITE-SHOE ENUMERATION · DEP149

How Six-Pip Card Depletion at 60% Depth Impacts 2D (EZ Bar-7)

Across 112,869,612,134,400 initial 2D permutations, depletion node DEP149 narrows to a 42-card stub (60% depth) holding 2 of 8 Rank-6 cards, where Banker resolves at 45.8957% (-0.9294% EV) and Player at 44.5717% (-1.3240% EV).

Tableau audit DEP149 confirms that banker 6 only draws (dep149) when player pulls a third-card (2d-60%) 6 or 7; depleting 6s (dep149·2d-60%) directly alters both banker 6 draws and super 6 settlement frequency. Inside the 42-card 2D stub (60% depth, 2/8 Rank-6 remaining, -1.13 bps slope), standard deviation is 0.9373 under EZ Bar-7.

State DEP149 (2D, 60% depth, 2/8 Rank-6 left, EZ Bar-7)
Wager / MetricState DEP149 Value2D BaselineSettlement Note
DEP149 Banker (EZ Bar-7)45.8957% (-0.9294% EV)45.8998%DEP149 2D 60% (2 Rank-6)
DEP149 Player (1:1)44.5717% (-1.3240% EV)44.5676%DEP149 42-card 2D stub (0.9373 SD)
DEP149 Tie (8:1)9.5325% (-14.2072% EV)9.5326%DEP149 Rank-6 (6 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP149

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP149 · 2D)

Learners auditing DEP149 (2D at 60% depth, 2/8 Rank-6 in 42 stub cards) can verify that EZ Baccarat house hold (0.9294% Banker, 1.3240% Player, 14.2072% Tie) operates independently of prior Big Road streaks.

  • DEP149 (2D 60%): 42/104 cards with 2/8 Rank-6 (1A).
  • DEP149 (Rank-6 split): 45.8957% Banker, 44.5717% Player, 9.5325% Tie in 42 2D cards (1B).
  • DEP149 (EZ Bar-7 EV): -0.9294% Banker, -1.3240% Player, -14.2072% Tie, 0.9373 SD at 60% (1C).
  • DEP149 (2D roads): red/blue marks log Big Road columns, never 2 Rank-6 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 6 Six-Pip Card cards leave a 2D shoe by 60% depth (DEP149), 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 Rank-6 stub counts (2/8 in 42 cards); Banker carries a -0.9294% 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