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COMBINATORIAL DEPLETION · 4D · RANK-8 · 50% DEPTH

4-Deck Eight-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP256)

Removing 9 of 16 Eight-Pip Card (Rank-8) cards at 50% penetration of a 4-deck (208-card) shoe leaves 7 Rank-8 cards inside a 104-card stub (DEP256), producing 45.8719% Banker wins, 44.5863% Player wins, 9.5417% Ties, and a 1.4074% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4074%
Player EV (1:1)
-1.2856%
Rank-8 in 104-Card Stub
7/16
Single-Hand Std Dev
0.9369
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
Big Eye Boy = = = = = = ≠ ≠ ≠ ≠ = = = =
Small Road = = = = = = ≠ = = = = =
Cockroach Pig = = = = = = ≠ = = ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP256 (4D Rank-8 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 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 (DEP256)
104 / 208 Cards

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

Rank-8 Remaining
7 of 16 Cards

9 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 4D pack.

Banker EV (Super 6)
-1.4074%

Resolved at 45.8719% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2856%

Resolved at 44.5863% Player win rate with 0.9369 unit standard deviation.

Tie Incidence (8:1)
9.5417%

Produces a 14.1243% house hold on the 8-to-1 Tie wager in state DEP256.

FINITE-SHOE ENUMERATION · DEP256

How Eight-Pip Card Depletion at 50% Depth Impacts 4D (Super 6)

Finite-shoe specification DEP256 tracks Rank-8 removal at 50% depth in 4-deck play: with 7 of 16 Eight-Pip Card cards left in the 104-card stub, Tie incidence is 9.5417% and Banker expectation settles at -1.4074% (Super 6).

For DEP256 (4-deck shoe, 50% dealt), on banker total 3, (dep256) banker draws against every player (4d-50%) third card except 8; removing (dep256·4d-50%) 8s eliminates banker 3's sole standing exception. Holding 7 of 16 Rank-8 cards in a 104-card stub with -0.50 bps rank slope yields 45.8719% Banker, 44.5863% Player, and 9.5417% Tie.

State DEP256 (4D, 50% depth, 7/16 Rank-8 left, Super 6)
Wager / MetricState DEP256 Value4D BaselineSettlement Note
DEP256 Banker (Super 6)45.8719% (-1.4074% EV)45.8732%DEP256 4D 50% (7 Rank-8)
DEP256 Player (1:1)44.5863% (-1.2856% EV)44.5850%DEP256 104-card 4D stub (0.9369 SD)
DEP256 Tie (8:1)9.5417% (-14.1243% EV)9.5418%DEP256 Rank-8 (9 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP256

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP256 · 4D)

Cut-card protocol at 50% depth in DEP256 (4D, 104 stub cards containing 7 Rank-8 cards) ensures the shoe reshuffles long before Super 6 house hold (1.4074% Banker / 1.2856% Player) is overturned.

  • DEP256 (4D 50%): 104/208 cards with 7/16 Rank-8 (4A).
  • DEP256 (Rank-8 split): 45.8719% Banker, 44.5863% Player, 9.5417% Tie in 104 4D cards (4B).
  • DEP256 (Super 6 EV): -1.4074% Banker, -1.2856% Player, -14.1243% Tie, 0.9369 SD at 50% (4C).
  • DEP256 (4D roads): red/blue marks log Big Road columns, never 7 Rank-8 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 9 Eight-Pip Card cards leave a 4D shoe by 50% depth (DEP256), 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-8 stub counts (7/16 in 104 cards); Banker carries a -1.4074% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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