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

8-Deck Eight-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP437)

Removing 22 of 32 Eight-Pip Card (Rank-8) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Rank-8 cards inside a 166-card stub (DEP437), producing 45.8580% Banker wins, 44.6264% Player wins, 9.5155% Ties, and a 1.0218% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0218%
Player EV (1:1)
-1.2316%
Rank-8 in 166-Card Stub
10/32
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 P B B B P P B B P B B P
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ = = = ≠ ≠
Small Road = ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠
Cockroach Pig = = ≠ ≠ ≠ = ≠ ≠

Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP437 (8D 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

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 (DEP437)
166 / 416 Cards

60% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-8 Remaining
10 of 32 Cards

22 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0218%

Resolved at 45.8580% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2316%

Resolved at 44.6264% Player win rate with 0.9379 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3602% house hold on the 8-to-1 Tie wager in state DEP437.

FINITE-SHOE ENUMERATION · DEP437

How Eight-Pip Card Depletion at 60% Depth Impacts 8D (EZ Bar-7)

When a 8D shoe reaches 60% cut-card depth (166 of 416 cards undealt, state DEP437) with 22 Eight-Pip Card cards removed and 10 remaining, Player wins 44.6264% (1.2316% edge) while Banker wins 45.8580% (1.0218% edge under EZ Baccarat).

Mechanical draw trees in DEP437 reflect how depleting 8-pip cards also (dep437-rank-8) lowers two-card natural 8 lockouts (166c) when paired with zero-point tens (dep437-rank-8·166c) and court cards. At 60% 8D depth (10 Rank-8 left of 32 in 166 cards, -0.50 bps slope), banker wins pay 1:1 (dep437-8d) with zero commission except when (10/32) banker wins with a three-card (dep437-8d·10/32) total of 7, which pushes.

State DEP437 (8D, 60% depth, 10/32 Rank-8 left, EZ Bar-7)
Wager / MetricState DEP437 Value8D BaselineSettlement Note
DEP437 Banker (EZ Bar-7)45.8580% (-1.0218% EV)45.8597%DEP437 8D 60% (10 Rank-8)
DEP437 Player (1:1)44.6264% (-1.2316% EV)44.6247%DEP437 166-card 8D stub (0.9379 SD)
DEP437 Tie (8:1)9.5155% (-14.3602% EV)9.5156%DEP437 Rank-8 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP437

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP437 · 8D)

Synthesizing DEP437 (8D at 60% depth, 10 Eight-Pip Card cards left inside 166 stub cards): EZ Baccarat rules produce a 1.0218% Banker edge, 1.2316% Player edge, 14.3602% Tie edge, and 0.9379 unit volatility.

  • DEP437 (8D 60%): 166/416 cards with 10/32 Rank-8 (6A).
  • DEP437 (Rank-8 split): 45.8580% Banker, 44.6264% Player, 9.5155% Tie in 166 8D cards (6B).
  • DEP437 (EZ Bar-7 EV): -1.0218% Banker, -1.2316% Player, -14.3602% Tie, 0.9379 SD at 60% (6C).
  • DEP437 (8D roads): red/blue marks log Big Road columns, never 10 Rank-8 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Eight-Pip Card cards leave a 8D shoe by 60% depth (DEP437), 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 (10/32 in 166 cards); Banker carries a -1.0218% 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