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COMBINATORIAL DEPLETION · 2D · RANK-8 · 80% DEPTH

2-Deck Eight-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP170)

Removing 7 of 8 Eight-Pip Card (Rank-8) cards at 80% penetration of a 2-deck (104-card) shoe leaves 1 Rank-8 cards inside a 21-card stub (DEP170), producing 45.8975% Banker wins, 44.5700% Player wins, 9.5325% Ties, and a 1.3656% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3656%
Player EV (1:1)
-1.3274%
Rank-8 in 21-Card Stub
1/8
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 P B B P B P B P P
Big Eye Boy = = ≠ ≠ ≠ = = = = ≠ = = = ≠
Small Road ≠ = = ≠ ≠ = = ≠ ≠ = = ≠
Cockroach Pig = = = = ≠ ≠ ≠ ≠ ≠ = ≠

Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP170 (2D 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 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 (DEP170)
21 / 104 Cards

80% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-8 Remaining
1 of 8 Cards

7 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 2D pack.

Banker EV (Super 6)
-1.3656%

Resolved at 45.8975% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.3274%

Resolved at 44.5700% Player win rate with 0.9399 unit standard deviation.

Tie Incidence (8:1)
9.5325%

Produces a 14.2074% house hold on the 8-to-1 Tie wager in state DEP170.

FINITE-SHOE ENUMERATION · DEP170

How Eight-Pip Card Depletion at 80% Depth Impacts 2D (Super 6)

In combinatorial record DEP170, depleting 7 Rank-8 cards across 80% of a 2D (104-card) pack leaves 1 Eight-Pip Card cards among 21 remaining cards, setting Banker win probability to 45.8975% and house edge to 1.3656% (Super 6).

When 7 Rank-8 cards exit a 2D shoe by 80% penetration (DEP170, 1 left in 21 cards), depleting 8-pip cards also (dep170-rank-8) lowers two-card natural 8 lockouts (21c) when paired with zero-point tens (dep170-rank-8·21c) and court cards, combining a -0.50 bps rank vector with Super 6 settlement (-1.3656% Banker EV).

State DEP170 (2D, 80% depth, 1/8 Rank-8 left, Super 6)
Wager / MetricState DEP170 Value2D BaselineSettlement Note
DEP170 Banker (Super 6)45.8975% (-1.3656% EV)45.8998%DEP170 2D 80% (1 Rank-8)
DEP170 Player (1:1)44.5700% (-1.3274% EV)44.5676%DEP170 21-card 2D stub (0.9399 SD)
DEP170 Tie (8:1)9.5325% (-14.2074% EV)9.5326%DEP170 Rank-8 (7 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP170

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP170 · 2D)

Even at 80% penetration in DEP170 where 7 Rank-8 cards have exited a 2D shoe (1 left in 21 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.3656% EV, Super 6) or Player (-1.3274% EV) is favored next.

  • DEP170 (2D 80%): 21/104 cards with 1/8 Rank-8 (1A).
  • DEP170 (Rank-8 split): 45.8975% Banker, 44.5700% Player, 9.5325% Tie in 21 2D cards (1B).
  • DEP170 (Super 6 EV): -1.3656% Banker, -1.3274% Player, -14.2074% Tie, 0.9399 SD at 80% (1C).
  • DEP170 (2D roads): red/blue marks log Big Road columns, never 1 Rank-8 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 7 Eight-Pip Card cards leave a 2D shoe by 80% depth (DEP170), 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 (1/8 in 21 cards); Banker carries a -1.3656% 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