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COMBINATORIAL DEPLETION · 4D · RANK-8 · 60% DEPTH

4-Deck Eight-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP257)

Removing 11 of 16 Eight-Pip Card (Rank-8) cards at 60% penetration of a 4-deck (208-card) shoe leaves 5 Rank-8 cards inside a 83-card stub (DEP257), producing 45.8715% Banker wins, 44.5867% Player wins, 9.5417% Ties, and a 0.9686% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9686%
Player EV (1:1)
-1.2848%
Rank-8 in 83-Card Stub
5/16
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 P B B P B B P B P
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ ≠ =
Small Road = = = = ≠ ≠ = = ≠ ≠ = ≠
Cockroach Pig = = ≠ ≠ ≠ = ≠ ≠ = =

Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP257 (4D 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 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 (DEP257)
83 / 208 Cards

60% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).

Rank-8 Remaining
5 of 16 Cards

11 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 4D pack.

Banker EV (EZ Bar-7)
-0.9686%

Resolved at 45.8715% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2848%

Resolved at 44.5867% Player win rate with 0.9379 unit standard deviation.

Tie Incidence (8:1)
9.5417%

Produces a 14.1244% house hold on the 8-to-1 Tie wager in state DEP257.

FINITE-SHOE ENUMERATION · DEP257

How Eight-Pip Card Depletion at 60% Depth Impacts 4D (EZ Bar-7)

At 60% penetration of a 208-card (4D) shoe, state DEP257 isolates 11 dealt Rank-8 cards (5 remaining inside 83 stub cards), yielding 45.8715% Banker wins, 44.5867% Player wins, and 0.9379 per-hand standard deviation under EZ Baccarat.

Mechanical draw trees in DEP257 reflect how depleting 8-pip cards also (dep257-rank-8) lowers two-card natural 8 lockouts (83c) when paired with zero-point tens (dep257-rank-8·83c) and court cards. At 60% 4D depth (5 Rank-8 left of 16 in 83 cards, -0.50 bps slope), banker wins pay 1:1 (dep257-4d) with zero commission except when (5/16) banker wins with a three-card (dep257-4d·5/16) total of 7, which pushes.

State DEP257 (4D, 60% depth, 5/16 Rank-8 left, EZ Bar-7)
Wager / MetricState DEP257 Value4D BaselineSettlement Note
DEP257 Banker (EZ Bar-7)45.8715% (-0.9686% EV)45.8732%DEP257 4D 60% (5 Rank-8)
DEP257 Player (1:1)44.5867% (-1.2848% EV)44.5850%DEP257 83-card 4D stub (0.9379 SD)
DEP257 Tie (8:1)9.5417% (-14.1244% EV)9.5418%DEP257 Rank-8 (11 out, 5 in)
TABLEAU & SCOREBOARD SEPARATION · DEP257

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP257 · 4D)

Scoreboard literacy in DEP257 separates two independent concepts: 4D card-removal math (5 Rank-8 left in 83 cards at 60% depth, 0.9379 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP257 (4D 60%): 83/208 cards with 5/16 Rank-8 (2A).
  • DEP257 (Rank-8 split): 45.8715% Banker, 44.5867% Player, 9.5417% Tie in 83 4D cards (2B).
  • DEP257 (EZ Bar-7 EV): -0.9686% Banker, -1.2848% Player, -14.1244% Tie, 0.9379 SD at 60% (2C).
  • DEP257 (4D roads): red/blue marks log Big Road columns, never 5 Rank-8 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 11 Eight-Pip Card cards leave a 4D shoe by 60% depth (DEP257), 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 (5/16 in 83 cards); Banker carries a -0.9686% 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