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COMBINATORIAL DEPLETION · 8D · RANK-7 · 60% DEPTH

8-Deck Seven-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP428)

Removing 22 of 32 Seven-Pip Card (Rank-7) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Rank-7 cards inside a 166-card stub (DEP428), producing 45.8570% Banker wins, 44.6275% Player wins, 9.5155% Ties, and a 1.0239% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0239%
Player EV (1:1)
-1.2295%
Rank-7 in 166-Card Stub
10/32
Single-Hand Std Dev
0.9376
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP428 (8D Rank-7 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

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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP428)
166 / 416 Cards

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

Rank-7 Remaining
10 of 32 Cards

22 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0239%

Resolved at 45.8570% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2295%

Resolved at 44.6275% Player win rate with 0.9376 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3602% house hold on the 8-to-1 Tie wager in state DEP428.

FINITE-SHOE ENUMERATION · DEP428

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

Within eight-deck Macau, Las Vegas Strip, and Singapore standard shoes, profile DEP428 examines 60% shoe depletion (166 of 416 cards remaining) after 22 Rank-7 cards exit, leaving 10 Seven-Pip Card cards and a 1.0239% Banker house hold under EZ Baccarat.

When 22 Rank-7 cards exit a 8D shoe by 60% penetration (DEP428, 10 left in 166 cards), depleting 7s lowers the (dep428-rank-7) rate of winning three-card banker (166c) 7 hands (the barred push (dep428-rank-7·166c) total on ez baccarat tables), combining a -0.83 bps rank vector with EZ Baccarat settlement (-1.0239% Banker EV).

State DEP428 (8D, 60% depth, 10/32 Rank-7 left, EZ Bar-7)
Wager / MetricState DEP428 Value8D BaselineSettlement Note
DEP428 Banker (EZ Bar-7)45.8570% (-1.0239% EV)45.8597%DEP428 8D 60% (10 Rank-7)
DEP428 Player (1:1)44.6275% (-1.2295% EV)44.6247%DEP428 166-card 8D stub (0.9376 SD)
DEP428 Tie (8:1)9.5155% (-14.3602% EV)9.5156%DEP428 Rank-7 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP428

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP428 · 8D)

Even at 60% penetration in DEP428 where 22 Rank-7 cards have exited a 8D shoe (10 left in 166 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.0239% EV, EZ Bar-7) or Player (-1.2295% EV) is favored next.

  • DEP428 (8D 60%): 166/416 cards with 10/32 Rank-7 (3A).
  • DEP428 (Rank-7 split): 45.8570% Banker, 44.6275% Player, 9.5155% Tie in 166 8D cards (3B).
  • DEP428 (EZ Bar-7 EV): -1.0239% Banker, -1.2295% Player, -14.3602% Tie, 0.9376 SD at 60% (3C).
  • DEP428 (8D roads): red/blue marks log Big Road columns, never 10 Rank-7 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Seven-Pip Card cards leave a 8D shoe by 60% depth (DEP428), 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-7 stub counts (10/32 in 166 cards); Banker carries a -1.0239% 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