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COMBINATORIAL DEPLETION · 8D · RANK-0 · 60% DEPTH

8-Deck 0-Value Tens & Faces Depletion at 60% Penetration (EZ Baccarat Audit DEP365)

Removing 88 of 128 0-Value Tens & Faces (Rank-0) cards at 60% penetration of a 8-deck (416-card) shoe leaves 40 Rank-0 cards inside a 166-card stub (DEP365), producing 45.8621% Banker wins, 44.6222% Player wins, 9.5157% Ties, and a 1.0135% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0135%
Player EV (1:1)
-1.2399%
Rank-0 in 166-Card Stub
40/128
Single-Hand Std Dev
0.9355
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP365 (8D Rank-0 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP365)
166 / 416 Cards

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

Rank-0 Remaining
40 of 128 Cards

88 10, Jack, Queen, and King (zero-point cards) removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0135%

Resolved at 45.8621% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2399%

Resolved at 44.6222% Player win rate with 0.9355 unit standard deviation.

Tie Incidence (8:1)
9.5157%

Produces a 14.3584% house hold on the 8-to-1 Tie wager in state DEP365.

FINITE-SHOE ENUMERATION · DEP365

How 0-Value Tens & Faces Depletion at 60% Depth Impacts 8D (EZ Bar-7)

Audit DEP365 evaluates a 8-deck (416-card) shoe at 60% penetration where 88 of 128 0-Value Tens & Faces cards have exited, leaving 40 Rank-0 cards inside the 166-card stub with Banker EV at -1.0135% under EZ Baccarat.

In six-card resolution tree DEP365 (8D at 60% depth, 166 cards left), fewer zero-value draws mean (dep365-rank-0) third-card pulls change running totals (166c) more frequently instead of leaving (dep365-rank-0·166c) totals unchanged; removing 88 of 128 Rank-0 cards (+0.18 bps weight) leaves Banker at -1.0135% EV under EZ Baccarat.

State DEP365 (8D, 60% depth, 40/128 Rank-0 left, EZ Bar-7)
Wager / MetricState DEP365 Value8D BaselineSettlement Note
DEP365 Banker (EZ Bar-7)45.8621% (-1.0135% EV)45.8597%DEP365 8D 60% (40 Rank-0)
DEP365 Player (1:1)44.6222% (-1.2399% EV)44.6247%DEP365 166-card 8D stub (0.9355 SD)
DEP365 Tie (8:1)9.5157% (-14.3584% EV)9.5156%DEP365 Rank-0 (88 out, 40 in)
TABLEAU & SCOREBOARD SEPARATION · DEP365

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP365 · 8D)

In DEP365, the 166-card 8D stub (60% penetration, 88 of 128 Rank-0 dealt) yields 45.8621% Banker, 44.6222% Player, and 9.5157% Tie outcomes with 0.9355 dispersion under EZ Bar-7.

  • DEP365 (8D 60%): 166/416 cards with 40/128 Rank-0 (3A).
  • DEP365 (Rank-0 split): 45.8621% Banker, 44.6222% Player, 9.5157% Tie in 166 8D cards (3B).
  • DEP365 (EZ Bar-7 EV): -1.0135% Banker, -1.2399% Player, -14.3584% Tie, 0.9355 SD at 60% (3C).
  • DEP365 (8D roads): red/blue marks log Big Road columns, never 40 Rank-0 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 88 0-Value Tens & Faces cards leave a 8D shoe by 60% depth (DEP365), 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-0 stub counts (40/128 in 166 cards); Banker carries a -1.0135% 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