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COMBINATORIAL DEPLETION · 4D · RANK-6 · 60% DEPTH

4-Deck Six-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP239)

Removing 11 of 16 Six-Pip Card (Rank-6) cards at 60% penetration of a 4-deck (208-card) shoe leaves 5 Rank-6 cards inside a 83-card stub (DEP239), producing 45.8695% Banker wins, 44.5888% Player wins, 9.5417% Ties, and a 0.9727% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9727%
Player EV (1:1)
-1.2807%
Rank-6 in 83-Card Stub
5/16
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 B B P P B B P P B B P B
Big Eye Boy = = = = = = ≠ = = = = = = =
Small Road = = = = = = ≠ ≠ = = = =
Cockroach Pig = = = = = = ≠ ≠ ≠ =

Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP239 (4D 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

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 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 (DEP239)
83 / 208 Cards

60% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).

Rank-6 Remaining
5 of 16 Cards

11 6-pip cards (standing threshold and Banker 6 trigger) removed from the 4D pack.

Banker EV (EZ Bar-7)
-0.9727%

Resolved at 45.8695% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2807%

Resolved at 44.5888% Player win rate with 0.9373 unit standard deviation.

Tie Incidence (8:1)
9.5417%

Produces a 14.1244% house hold on the 8-to-1 Tie wager in state DEP239.

FINITE-SHOE ENUMERATION · DEP239

How Six-Pip Card Depletion at 60% Depth Impacts 4D (EZ Bar-7)

Audit DEP239 evaluates a 4-deck (208-card) shoe at 60% penetration where 11 of 16 Six-Pip Card cards have exited, leaving 5 Rank-6 cards inside the 83-card stub with Banker EV at -0.9727% under EZ Baccarat.

Banker 6 only draws (DEP239) when Player pulls a third-card (4D-60%) 6 or 7; depleting 6s (DEP239·4D-60%) directly alters both Banker 6 draws and Super 6 settlement frequency. In state DEP239 (4D, 60% depth), each removed Rank-6 card applies a -1.13 bps baseline directional pressure before scaling to the 83-card remainder (5 Rank-6 left), while Banker wins pay 1:1 (DEP239-4D) with zero commission except when (5/16) Banker wins with a three-card (DEP239-4D·5/16) total of 7, which pushes.

State DEP239 (4D, 60% depth, 5/16 Rank-6 left, EZ Bar-7)
Wager / MetricState DEP239 Value4D BaselineSettlement Note
DEP239 Banker (EZ Bar-7)45.8695% (-0.9727% EV)45.8732%DEP239 4D 60% (5 Rank-6)
DEP239 Player (1:1)44.5888% (-1.2807% EV)44.5850%DEP239 83-card 4D stub (0.9373 SD)
DEP239 Tie (8:1)9.5417% (-14.1244% EV)9.5418%DEP239 Rank-6 (11 out, 5 in)
TABLEAU & SCOREBOARD SEPARATION · DEP239

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP239 · 4D)

Even at 60% penetration in DEP239 where 11 Rank-6 cards have exited a 4D shoe (5 left in 83 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-0.9727% EV, EZ Bar-7) or Player (-1.2807% EV) is favored next.

  • DEP239 (4D 60%): 83/208 cards with 5/16 Rank-6 (3A).
  • DEP239 (Rank-6 split): 45.8695% Banker, 44.5888% Player, 9.5417% Tie in 83 4D cards (3B).
  • DEP239 (EZ Bar-7 EV): -0.9727% Banker, -1.2807% Player, -14.1244% Tie, 0.9373 SD at 60% (3C).
  • DEP239 (4D roads): red/blue marks log Big Road columns, never 5 Rank-6 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 11 Six-Pip Card cards leave a 4D shoe by 60% depth (DEP239), 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 (5/16 in 83 cards); Banker carries a -0.9727% 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