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COMBINATORIAL DEPLETION · 8D · ACE-1 · 60% DEPTH

8-Deck Ace (1-Point Pip) Depletion at 60% Penetration (EZ Baccarat Audit DEP374)

Removing 22 of 32 Ace (1-Point Pip) (Ace-1) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Ace-1 cards inside a 166-card stub (DEP374), producing 45.8612% Banker wins, 44.6232% Player wins, 9.5156% Ties, and a 1.0155% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0155%
Player EV (1:1)
-1.2379%
Ace-1 in 166-Card Stub
10/32
Single-Hand Std Dev
0.9358
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP374 (8D Ace-1 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

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

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

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

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 (DEP374)
166 / 416 Cards

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

Ace-1 Remaining
10 of 32 Cards

22 Ace cards valued at 1 modulo-10 point removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0155%

Resolved at 45.8612% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2379%

Resolved at 44.6232% Player win rate with 0.9358 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3593% house hold on the 8-to-1 Tie wager in state DEP374.

FINITE-SHOE ENUMERATION · DEP374

How Ace (1-Point Pip) Depletion at 60% Depth Impacts 8D (EZ Bar-7)

Depletion matrix entry DEP374 pairs 8D (416 cards) at 60% penetration with 22 removed Ace (1-Point Pip) cards (10 left in 166 cards), fixing per-hand volatility at 0.9358 and Banker house hold at 1.0155% (EZ Bar-7).

Combinatorial weighting in DEP374 (166 cards left from 416 at 60% depth) is governed by two rules: removing aces slightly favors (dep374) banker because banker stands on (8d-60%) 6 against player third-card ace (dep374·8d-60%) while player must draw on 0–5, and banker wins pay 1:1 (dep374-8d) with zero commission except when (10/32) banker wins with a three-card (dep374-8d·10/32) total of 7, which pushes (+0.44 bps per Ace-1 removed).

State DEP374 (8D, 60% depth, 10/32 Ace-1 left, EZ Bar-7)
Wager / MetricState DEP374 Value8D BaselineSettlement Note
DEP374 Banker (EZ Bar-7)45.8612% (-1.0155% EV)45.8597%DEP374 8D 60% (10 Ace-1)
DEP374 Player (1:1)44.6232% (-1.2379% EV)44.6247%DEP374 166-card 8D stub (0.9358 SD)
DEP374 Tie (8:1)9.5156% (-14.3593% EV)9.5156%DEP374 Ace-1 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP374

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP374 · 8D)

Even at 60% penetration in DEP374 where 22 Ace-1 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 (-1.0155% EV, EZ Bar-7) or Player (-1.2379% EV) is favored next.

  • DEP374 (8D 60%): 166/416 cards with 10/32 Ace-1 (6A).
  • DEP374 (Ace-1 split): 45.8612% Banker, 44.6232% Player, 9.5156% Tie in 166 8D cards (6B).
  • DEP374 (EZ Bar-7 EV): -1.0155% Banker, -1.2379% Player, -14.3593% Tie, 0.9358 SD at 60% (6C).
  • DEP374 (8D roads): red/blue marks log Big Road columns, never 10 Ace-1 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Ace (1-Point Pip) cards leave a 8D shoe by 60% depth (DEP374), 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 Ace-1 stub counts (10/32 in 166 cards); Banker carries a -1.0155% 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