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COMBINATORIAL DEPLETION · 8D · RANK-0 · 85% DEPTH

8-Deck 0-Value Tens & Faces Depletion at 85% Penetration (EZ Baccarat Audit DEP369)

Removing 125 of 128 0-Value Tens & Faces (Rank-0) cards at 85% penetration of a 8-deck (416-card) shoe leaves 3 Rank-0 cards inside a 62-card stub (DEP369), producing 45.8635% Banker wins, 44.6206% Player wins, 9.5158% Ties, and a 1.0105% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0105%
Player EV (1:1)
-1.2429%
Rank-0 in 62-Card Stub
3/128
Single-Hand Std Dev
0.9380
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 DEP369 (8D Rank-0 at 85% 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 (DEP369)
62 / 416 Cards

85% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-0 Remaining
3 of 128 Cards

125 10, Jack, Queen, and King (zero-point cards) removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0105%

Resolved at 45.8635% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2429%

Resolved at 44.6206% Player win rate with 0.9380 unit standard deviation.

Tie Incidence (8:1)
9.5158%

Produces a 14.3577% house hold on the 8-to-1 Tie wager in state DEP369.

FINITE-SHOE ENUMERATION · DEP369

How 0-Value Tens & Faces Depletion at 85% Depth Impacts 8D (EZ Bar-7)

At 85% penetration of a 416-card (8D) shoe, state DEP369 isolates 125 dealt Rank-0 cards (3 remaining inside 62 stub cards), yielding 45.8635% Banker wins, 44.6206% Player wins, and 0.9380 per-hand standard deviation under EZ Baccarat.

In 8D audit DEP369 (62/416 stub at 85% depth), fewer zero-value draws mean (dep369-rank-0) third-card pulls change running totals (62c) more frequently instead of leaving (dep369-rank-0·62c) totals unchanged. Removing 125 Rank-0 cards (+0.18 bps per card) alongside EZ Bar-7 rules sets Tie hold to 14.3577% (9.5158% frequency).

State DEP369 (8D, 85% depth, 3/128 Rank-0 left, EZ Bar-7)
Wager / MetricState DEP369 Value8D BaselineSettlement Note
DEP369 Banker (EZ Bar-7)45.8635% (-1.0105% EV)45.8597%DEP369 8D 85% (3 Rank-0)
DEP369 Player (1:1)44.6206% (-1.2429% EV)44.6247%DEP369 62-card 8D stub (0.9380 SD)
DEP369 Tie (8:1)9.5158% (-14.3577% EV)9.5156%DEP369 Rank-0 (125 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP369

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP369 · 8D)

Learners auditing DEP369 (8D at 85% depth, 3/128 Rank-0 in 62 stub cards) can verify that EZ Baccarat house hold (1.0105% Banker, 1.2429% Player, 14.3577% Tie) operates independently of prior Big Road streaks.

  • DEP369 (8D 85%): 62/416 cards with 3/128 Rank-0 (2A).
  • DEP369 (Rank-0 split): 45.8635% Banker, 44.6206% Player, 9.5158% Tie in 62 8D cards (2B).
  • DEP369 (EZ Bar-7 EV): -1.0105% Banker, -1.2429% Player, -14.3577% Tie, 0.9380 SD at 85% (2C).
  • DEP369 (8D roads): red/blue marks log Big Road columns, never 3 Rank-0 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 125 0-Value Tens & Faces cards leave a 8D shoe by 85% depth (DEP369), 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 (3/128 in 62 cards); Banker carries a -1.0105% 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