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COMBINATORIAL DEPLETION · 4D · RANK-8 · 80% DEPTH

4-Deck Eight-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP260)

Removing 15 of 16 Eight-Pip Card (Rank-8) cards at 80% penetration of a 4-deck (208-card) shoe leaves 1 Rank-8 cards inside a 42-card stub (DEP260), producing 45.8707% Banker wins, 44.5876% Player wins, 9.5417% Ties, and a 1.4099% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4099%
Player EV (1:1)
-1.2831%
Rank-8 in 42-Card Stub
1/16
Single-Hand Std Dev
0.9399
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP260 (4D Rank-8 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

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 (DEP260)
42 / 208 Cards

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

Rank-8 Remaining
1 of 16 Cards

15 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 4D pack.

Banker EV (Super 6)
-1.4099%

Resolved at 45.8707% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2831%

Resolved at 44.5876% Player win rate with 0.9399 unit standard deviation.

Tie Incidence (8:1)
9.5417%

Produces a 14.1247% house hold on the 8-to-1 Tie wager in state DEP260.

FINITE-SHOE ENUMERATION · DEP260

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

Within four-deck Asian VIP salons and compact automatic shuffler shoes, profile DEP260 examines 80% shoe depletion (42 of 208 cards remaining) after 15 Rank-8 cards exit, leaving 1 Eight-Pip Card cards and a 1.4099% Banker house hold under Super 6.

Tableau audit DEP260 confirms that on banker total 3, (dep260) banker draws against every player (4d-80%) third card except 8; removing (dep260·4d-80%) 8s eliminates banker 3's sole standing exception. Inside the 42-card 4D stub (80% depth, 1/16 Rank-8 remaining, -0.50 bps slope), standard deviation is 0.9399 under Super 6.

State DEP260 (4D, 80% depth, 1/16 Rank-8 left, Super 6)
Wager / MetricState DEP260 Value4D BaselineSettlement Note
DEP260 Banker (Super 6)45.8707% (-1.4099% EV)45.8732%DEP260 4D 80% (1 Rank-8)
DEP260 Player (1:1)44.5876% (-1.2831% EV)44.5850%DEP260 42-card 4D stub (0.9399 SD)
DEP260 Tie (8:1)9.5417% (-14.1247% EV)9.5418%DEP260 Rank-8 (15 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP260

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP260 · 4D)

While DEP260 tracks 15 removed Eight-Pip Card cards across 80% of a 208-card (4D) shoe (42 remaining, 1.4099% Super 6 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP260 (4D 80%): 42/208 cards with 1/16 Rank-8 (3A).
  • DEP260 (Rank-8 split): 45.8707% Banker, 44.5876% Player, 9.5417% Tie in 42 4D cards (3B).
  • DEP260 (Super 6 EV): -1.4099% Banker, -1.2831% Player, -14.1247% Tie, 0.9399 SD at 80% (3C).
  • DEP260 (4D roads): red/blue marks log Big Road columns, never 1 Rank-8 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 15 Eight-Pip Card cards leave a 4D shoe by 80% depth (DEP260), 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 (1/16 in 42 cards); Banker carries a -1.4099% 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