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COMBINATORIAL DEPLETION · 4D · RANK-0 · 50% DEPTH

4-Deck 0-Value Tens & Faces Depletion at 50% Penetration (Super 6 Audit DEP184)

Removing 37 of 64 0-Value Tens & Faces (Rank-0) cards at 50% penetration of a 4-deck (208-card) shoe leaves 27 Rank-0 cards inside a 104-card stub (DEP184), producing 45.8751% Banker wins, 44.5830% Player wins, 9.5419% Ties, and a 1.4009% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4009%
Player EV (1:1)
-1.2921%
Rank-0 in 104-Card Stub
27/64
Single-Hand Std Dev
0.9345
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 DEP184 (4D Rank-0 at 50% 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 (DEP184)
104 / 208 Cards

50% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).

Rank-0 Remaining
27 of 64 Cards

37 10, Jack, Queen, and King (zero-point cards) removed from the 4D pack.

Banker EV (Super 6)
-1.4009%

Resolved at 45.8751% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2921%

Resolved at 44.5830% Player win rate with 0.9345 unit standard deviation.

Tie Incidence (8:1)
9.5419%

Produces a 14.1229% house hold on the 8-to-1 Tie wager in state DEP184.

FINITE-SHOE ENUMERATION · DEP184

How 0-Value Tens & Faces Depletion at 50% Depth Impacts 4D (Super 6)

In combinatorial record DEP184, depleting 37 Rank-0 cards across 50% of a 4D (208-card) pack leaves 27 0-Value Tens & Faces cards among 104 remaining cards, setting Banker win probability to 45.8751% and house edge to 1.4009% (Super 6).

Comparing initial 208-card 4D weights against stub DEP184 (104 cards, 50% depth, 27 Rank-0 left) illustrates how depleting zero-point cards reduces (dep184) modulo-10 standoffs and alters two-card (4d-50%) natural combinations paired with 8s (dep184·4d-50%) and 9s (+0.18 bps slope, 1.4009% Super 6 edge).

State DEP184 (4D, 50% depth, 27/64 Rank-0 left, Super 6)
Wager / MetricState DEP184 Value4D BaselineSettlement Note
DEP184 Banker (Super 6)45.8751% (-1.4009% EV)45.8732%DEP184 4D 50% (27 Rank-0)
DEP184 Player (1:1)44.5830% (-1.2921% EV)44.5850%DEP184 104-card 4D stub (0.9345 SD)
DEP184 Tie (8:1)9.5419% (-14.1229% EV)9.5418%DEP184 Rank-0 (37 out, 27 in)
TABLEAU & SCOREBOARD SEPARATION · DEP184

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP184 · 4D)

For DEP184 (104 remaining cards in a 208-card 4D shoe at 50% depth), tracking all 37 exited Rank-0 cards moves Banker win rate to 45.8751% (-1.4009% EV, Super 6) and Player to 44.5830% (-1.2921% EV).

  • DEP184 (4D 50%): 104/208 cards with 27/64 Rank-0 (1A).
  • DEP184 (Rank-0 split): 45.8751% Banker, 44.5830% Player, 9.5419% Tie in 104 4D cards (1B).
  • DEP184 (Super 6 EV): -1.4009% Banker, -1.2921% Player, -14.1229% Tie, 0.9345 SD at 50% (1C).
  • DEP184 (4D roads): red/blue marks log Big Road columns, never 27 Rank-0 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 37 0-Value Tens & Faces cards leave a 4D shoe by 50% depth (DEP184), 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 (27/64 in 104 cards); Banker carries a -1.4009% 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