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COMBINATORIAL DEPLETION · 4D · RANK-0 · 80% DEPTH

4-Deck 0-Value Tens & Faces Depletion at 80% Penetration (Super 6 Audit DEP188)

Removing 59 of 64 0-Value Tens & Faces (Rank-0) cards at 80% penetration of a 4-deck (208-card) shoe leaves 5 Rank-0 cards inside a 42-card stub (DEP188), producing 45.8767% Banker wins, 44.5813% Player wins, 9.5420% Ties, and a 1.3975% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3975%
Player EV (1:1)
-1.2955%
Rank-0 in 42-Card Stub
5/64
Single-Hand Std Dev
0.9375
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP188 (4D Rank-0 at 80% 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

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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP188)
42 / 208 Cards

80% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).

Rank-0 Remaining
5 of 64 Cards

59 10, Jack, Queen, and King (zero-point cards) removed from the 4D pack.

Banker EV (Super 6)
-1.3975%

Resolved at 45.8767% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2955%

Resolved at 44.5813% Player win rate with 0.9375 unit standard deviation.

Tie Incidence (8:1)
9.5420%

Produces a 14.1220% house hold on the 8-to-1 Tie wager in state DEP188.

FINITE-SHOE ENUMERATION · DEP188

How 0-Value Tens & Faces Depletion at 80% Depth Impacts 4D (Super 6)

Under Super 6 settlement (Super 6), combinatorial state DEP188 models a 4D carrier with 42 cards left (80% dealt) and 5/64 0-Value Tens & Faces cards remaining, producing a 1.3975% Banker edge versus 1.2955% on Player.

Under the fixed third-card tableau for DEP188, depleting zero-point cards reduces (dep188) modulo-10 standoffs and alters two-card (4d-80%) natural combinations paired with 8s (dep188·4d-80%) and 9s. With 5 Rank-0 cards inside 42 remaining 4D cards (80% dealt), single-card slope (+0.18 bps) keeps Banker house edge at 1.3975% and Player at 1.2955%.

State DEP188 (4D, 80% depth, 5/64 Rank-0 left, Super 6)
Wager / MetricState DEP188 Value4D BaselineSettlement Note
DEP188 Banker (Super 6)45.8767% (-1.3975% EV)45.8732%DEP188 4D 80% (5 Rank-0)
DEP188 Player (1:1)44.5813% (-1.2955% EV)44.5850%DEP188 42-card 4D stub (0.9375 SD)
DEP188 Tie (8:1)9.5420% (-14.1220% EV)9.5418%DEP188 Rank-0 (59 out, 5 in)
TABLEAU & SCOREBOARD SEPARATION · DEP188

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP188 · 4D)

Scoreboard literacy in DEP188 separates two independent concepts: 4D card-removal math (5 Rank-0 left in 42 cards at 80% depth, 0.9375 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP188 (4D 80%): 42/208 cards with 5/64 Rank-0 (7A).
  • DEP188 (Rank-0 split): 45.8767% Banker, 44.5813% Player, 9.5420% Tie in 42 4D cards (7B).
  • DEP188 (Super 6 EV): -1.3975% Banker, -1.2955% Player, -14.1220% Tie, 0.9375 SD at 80% (7C).
  • DEP188 (4D roads): red/blue marks log Big Road columns, never 5 Rank-0 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 59 0-Value Tens & Faces cards leave a 4D shoe by 80% depth (DEP188), 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-0 stub counts (5/64 in 42 cards); Banker carries a -1.3975% expectation under Super 6.
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