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COMBINATORIAL DEPLETION · 8D · RANK-6 · 80% DEPTH

8-Deck Six-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP422)

Removing 29 of 32 Six-Pip Card (Rank-6) cards at 80% penetration of a 8-deck (416-card) shoe leaves 3 Rank-6 cards inside a 83-card stub (DEP422), producing 45.8542% Banker wins, 44.6303% Player wins, 9.5155% Ties, and a 1.4690% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4690%
Player EV (1:1)
-1.2240%
Rank-6 in 83-Card Stub
3/32
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 B P P P B B P B P B P P
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ = ≠
Small Road = ≠ ≠ = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = ≠ = ≠ ≠ = =

Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP422 (8D 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

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

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

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

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 (DEP422)
83 / 416 Cards

80% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-6 Remaining
3 of 32 Cards

29 6-pip cards (standing threshold and Banker 6 trigger) removed from the 8D pack.

Banker EV (Super 6)
-1.4690%

Resolved at 45.8542% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2240%

Resolved at 44.6303% Player win rate with 0.9393 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3605% house hold on the 8-to-1 Tie wager in state DEP422.

FINITE-SHOE ENUMERATION · DEP422

How Six-Pip Card Depletion at 80% Depth Impacts 8D (Super 6)

In combinatorial record DEP422, depleting 29 Rank-6 cards across 80% of a 8D (416-card) pack leaves 3 Six-Pip Card cards among 83 remaining cards, setting Banker win probability to 45.8542% and house edge to 1.4690% (Super 6).

In 8D audit DEP422 (83/416 stub at 80% depth), removing 6-pip cards produces (dep422-rank-6) the strongest per-card shift toward (83c) the player side and reduces (dep422-rank-6·83c) barred banker 6 incidence. Removing 29 Rank-6 cards (-1.13 bps per card) alongside Super 6 rules sets Tie hold to 14.3605% (9.5155% frequency).

State DEP422 (8D, 80% depth, 3/32 Rank-6 left, Super 6)
Wager / MetricState DEP422 Value8D BaselineSettlement Note
DEP422 Banker (Super 6)45.8542% (-1.4690% EV)45.8597%DEP422 8D 80% (3 Rank-6)
DEP422 Player (1:1)44.6303% (-1.2240% EV)44.6247%DEP422 83-card 8D stub (0.9393 SD)
DEP422 Tie (8:1)9.5155% (-14.3605% EV)9.5156%DEP422 Rank-6 (29 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP422

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP422 · 8D)

Synthesizing DEP422 (8D at 80% depth, 3 Six-Pip Card cards left inside 83 stub cards): Super 6 rules produce a 1.4690% Banker edge, 1.2240% Player edge, 14.3605% Tie edge, and 0.9393 unit volatility.

  • DEP422 (8D 80%): 83/416 cards with 3/32 Rank-6 (1A).
  • DEP422 (Rank-6 split): 45.8542% Banker, 44.6303% Player, 9.5155% Tie in 83 8D cards (1B).
  • DEP422 (Super 6 EV): -1.4690% Banker, -1.2240% Player, -14.3605% Tie, 0.9393 SD at 80% (1C).
  • DEP422 (8D roads): red/blue marks log Big Road columns, never 3 Rank-6 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 29 Six-Pip Card cards leave a 8D shoe by 80% depth (DEP422), 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 (3/32 in 83 cards); Banker carries a -1.4690% 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