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COMBINATORIAL DEPLETION · 4D · RANK-6 · 80% DEPTH

4-Deck Six-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP242)

Removing 15 of 16 Six-Pip Card (Rank-6) cards at 80% penetration of a 4-deck (208-card) shoe leaves 1 Rank-6 cards inside a 42-card stub (DEP242), producing 45.8675% Banker wins, 44.5907% Player wins, 9.5417% Ties, and a 1.4162% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4162%
Player EV (1:1)
-1.2768%
Rank-6 in 42-Card Stub
1/16
Single-Hand Std Dev
0.9393
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 B P P B B P B P B B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP242 (4D Rank-6 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

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 (DEP242)
42 / 208 Cards

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

Rank-6 Remaining
1 of 16 Cards

15 6-pip cards (standing threshold and Banker 6 trigger) removed from the 4D pack.

Banker EV (Super 6)
-1.4162%

Resolved at 45.8675% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2768%

Resolved at 44.5907% Player win rate with 0.9393 unit standard deviation.

Tie Incidence (8:1)
9.5417%

Produces a 14.1247% house hold on the 8-to-1 Tie wager in state DEP242.

FINITE-SHOE ENUMERATION · DEP242

How Six-Pip Card Depletion at 80% Depth Impacts 4D (Super 6)

Finite-shoe specification DEP242 tracks Rank-6 removal at 80% depth in 4-deck play: with 1 of 16 Six-Pip Card cards left in the 42-card stub, Tie incidence is 9.5417% and Banker expectation settles at -1.4162% (Super 6).

In 4D audit DEP242 (42/208 stub at 80% depth), removing 6-pip cards produces (dep242-rank-6) the strongest per-card shift toward (42c) the player side and reduces (dep242-rank-6·42c) barred banker 6 incidence. Removing 15 Rank-6 cards (-1.13 bps per card) alongside Super 6 rules sets Tie hold to 14.1247% (9.5417% frequency).

State DEP242 (4D, 80% depth, 1/16 Rank-6 left, Super 6)
Wager / MetricState DEP242 Value4D BaselineSettlement Note
DEP242 Banker (Super 6)45.8675% (-1.4162% EV)45.8732%DEP242 4D 80% (1 Rank-6)
DEP242 Player (1:1)44.5907% (-1.2768% EV)44.5850%DEP242 42-card 4D stub (0.9393 SD)
DEP242 Tie (8:1)9.5417% (-14.1247% EV)9.5418%DEP242 Rank-6 (15 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP242

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP242 · 4D)

Scoreboard literacy in DEP242 separates two independent concepts: 4D card-removal math (1 Rank-6 left in 42 cards at 80% depth, 0.9393 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP242 (4D 80%): 42/208 cards with 1/16 Rank-6 (4A).
  • DEP242 (Rank-6 split): 45.8675% Banker, 44.5907% Player, 9.5417% Tie in 42 4D cards (4B).
  • DEP242 (Super 6 EV): -1.4162% Banker, -1.2768% Player, -14.1247% Tie, 0.9393 SD at 80% (4C).
  • DEP242 (4D roads): red/blue marks log Big Road columns, never 1 Rank-6 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 15 Six-Pip Card cards leave a 4D shoe by 80% depth (DEP242), 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 (1/16 in 42 cards); Banker carries a -1.4162% 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