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COMBINATORIAL DEPLETION · 8D · RANK-3 · 60% DEPTH

8-Deck Three-Pip (Trey) Depletion at 60% Penetration (EZ Baccarat Audit DEP392)

Removing 22 of 32 Three-Pip (Trey) (Rank-3) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Rank-3 cards inside a 166-card stub (DEP392), producing 45.8618% Banker wins, 44.6225% Player wins, 9.5157% Ties, and a 1.0140% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0140%
Player EV (1:1)
-1.2394%
Rank-3 in 166-Card Stub
10/32
Single-Hand Std Dev
0.9364
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP392 (8D Rank-3 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 (DEP392)
166 / 416 Cards

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

Rank-3 Remaining
10 of 32 Cards

22 3-pip cards across all four suits removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0140%

Resolved at 45.8618% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2394%

Resolved at 44.6225% Player win rate with 0.9364 unit standard deviation.

Tie Incidence (8:1)
9.5157%

Produces a 14.3590% house hold on the 8-to-1 Tie wager in state DEP392.

FINITE-SHOE ENUMERATION · DEP392

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

Quantitative proof DEP392 documents 8D rank depletion at 60% depth: 22 exited Rank-3 cards leave 10 of 32 in the 166-card stub, generating 45.8618% Banker wins (-1.0140% EV under EZ Bar-7) and 44.6225% Player wins.

Each removed 3-pip card (DEP392-Rank-3) modifies the boundary between Banker (166c) standing on 5 and drawing (DEP392-Rank-3·166c) against mid-range Player pulls. Because 22 of 32 Three-Pip (Trey) cards are absent in DEP392 at 60% 8D penetration (166 cards left), per-card sensitivity (+0.65 bps) interacts directly with post-midpoint 60% penetration depth (DEP392) under EZ Baccarat barred 3-card (Rank-3) Banker 7 rules.

State DEP392 (8D, 60% depth, 10/32 Rank-3 left, EZ Bar-7)
Wager / MetricState DEP392 Value8D BaselineSettlement Note
DEP392 Banker (EZ Bar-7)45.8618% (-1.0140% EV)45.8597%DEP392 8D 60% (10 Rank-3)
DEP392 Player (1:1)44.6225% (-1.2394% EV)44.6247%DEP392 166-card 8D stub (0.9364 SD)
DEP392 Tie (8:1)9.5157% (-14.3590% EV)9.5156%DEP392 Rank-3 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP392

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP392 · 8D)

Scoreboard literacy in DEP392 separates two independent concepts: 8D card-removal math (10 Rank-3 left in 166 cards at 60% depth, 0.9364 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP392 (8D 60%): 166/416 cards with 10/32 Rank-3 (5A).
  • DEP392 (Rank-3 split): 45.8618% Banker, 44.6225% Player, 9.5157% Tie in 166 8D cards (5B).
  • DEP392 (EZ Bar-7 EV): -1.0140% Banker, -1.2394% Player, -14.3590% Tie, 0.9364 SD at 60% (5C).
  • DEP392 (8D roads): red/blue marks log Big Road columns, never 10 Rank-3 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Three-Pip (Trey) cards leave a 8D shoe by 60% depth (DEP392), 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-3 stub counts (10/32 in 166 cards); Banker carries a -1.0140% 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