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COMBINATORIAL DEPLETION · 2D · RANK-8 · 60% DEPTH

2-Deck Eight-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP167)

Removing 6 of 8 Eight-Pip Card (Rank-8) cards at 60% penetration of a 2-deck (104-card) shoe leaves 2 Rank-8 cards inside a 42-card stub (DEP167), producing 45.8980% Banker wins, 44.5695% Player wins, 9.5325% Ties, and a 0.9249% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9249%
Player EV (1:1)
-1.3285%
Rank-8 in 42-Card Stub
2/8
Single-Hand Std Dev
0.9379
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP167 (2D Rank-8 at 60% 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 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 (DEP167)
42 / 104 Cards

60% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-8 Remaining
2 of 8 Cards

6 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 2D pack.

Banker EV (EZ Bar-7)
-0.9249%

Resolved at 45.8980% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.3285%

Resolved at 44.5695% Player win rate with 0.9379 unit standard deviation.

Tie Incidence (8:1)
9.5325%

Produces a 14.2072% house hold on the 8-to-1 Tie wager in state DEP167.

FINITE-SHOE ENUMERATION · DEP167

How Eight-Pip Card Depletion at 60% Depth Impacts 2D (EZ Bar-7)

Shoe-stub analysis DEP167 inspects 42 remaining cards at 60% penetration of a 104-card (2D) pack after 6 Eight-Pip Card cards have cleared, leaving 2 Rank-8 cards and a 0.9249% EZ Baccarat Banker edge.

In 2D audit DEP167 (42/104 stub at 60% depth), depleting 8-pip cards also (dep167-rank-8) lowers two-card natural 8 lockouts (42c) when paired with zero-point tens (dep167-rank-8·42c) and court cards. Removing 6 Rank-8 cards (-0.50 bps per card) alongside EZ Bar-7 rules sets Tie hold to 14.2072% (9.5325% frequency).

State DEP167 (2D, 60% depth, 2/8 Rank-8 left, EZ Bar-7)
Wager / MetricState DEP167 Value2D BaselineSettlement Note
DEP167 Banker (EZ Bar-7)45.8980% (-0.9249% EV)45.8998%DEP167 2D 60% (2 Rank-8)
DEP167 Player (1:1)44.5695% (-1.3285% EV)44.5676%DEP167 42-card 2D stub (0.9379 SD)
DEP167 Tie (8:1)9.5325% (-14.2072% EV)9.5326%DEP167 Rank-8 (6 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP167

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP167 · 2D)

In studio and floor audits of DEP167 (42 cards undealt out of 104 in 2D at 60% depth), a 0.9379 unit standard deviation accompanies the 2-card Rank-8 stub under EZ Bar-7 (45.8980% Banker vs 44.5695% Player).

  • DEP167 (2D 60%): 42/104 cards with 2/8 Rank-8 (7A).
  • DEP167 (Rank-8 split): 45.8980% Banker, 44.5695% Player, 9.5325% Tie in 42 2D cards (7B).
  • DEP167 (EZ Bar-7 EV): -0.9249% Banker, -1.3285% Player, -14.2072% Tie, 0.9379 SD at 60% (7C).
  • DEP167 (2D roads): red/blue marks log Big Road columns, never 2 Rank-8 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 6 Eight-Pip Card cards leave a 2D shoe by 60% depth (DEP167), 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 (2/8 in 42 cards); Banker carries a -0.9249% expectation under EZ Baccarat.
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