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COMBINATORIAL DEPLETION · 1D · RANK-0 · 60% DEPTH

1-Deck 0-Value Tens & Faces Depletion at 60% Penetration (EZ Baccarat Audit DEP005)

Removing 11 of 16 0-Value Tens & Faces (Rank-0) cards at 60% penetration of a 1-deck (52-card) shoe leaves 5 Rank-0 cards inside a 21-card stub (DEP005), producing 45.9619% Banker wins, 44.5224% Player wins, 9.5157% Ties, and a 0.8139% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.8139%
Player EV (1:1)
-1.4395%
Rank-0 in 21-Card Stub
5/16
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 P B B B P P B B P B B P
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ = = = ≠ ≠
Small Road = ≠ ≠ = ≠ ≠ ≠ = = ≠ ≠
Cockroach Pig = = ≠ ≠ ≠ = ≠ ≠

Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP005 (1D 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

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 (DEP005)
21 / 52 Cards

60% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-0 Remaining
5 of 16 Cards

11 10, Jack, Queen, and King (zero-point cards) removed from the 1D pack.

Banker EV (EZ Bar-7)
-0.8139%

Resolved at 45.9619% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.4395%

Resolved at 44.5224% 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 DEP005.

FINITE-SHOE ENUMERATION · DEP005

How 0-Value Tens & Faces Depletion at 60% Depth Impacts 1D (EZ Bar-7)

At 60% penetration of a 52-card (1D) shoe, state DEP005 isolates 11 dealt Rank-0 cards (5 remaining inside 21 stub cards), yielding 45.9619% Banker wins, 44.5224% Player wins, and 0.9355 per-hand standard deviation under EZ Baccarat.

Why does Rank-0 carry a +0.18 bps per-card effect in DEP005? Depleting zero-point cards reduces (DEP005) modulo-10 standoffs and alters two-card (1D-60%) natural combinations paired with 8s (DEP005·1D-60%) and 9s, and at 60% penetration (5 0-Value Tens & Faces cards left in 21 1D cards), banker wins pay 1:1 (dep005-1d) with zero commission except when (5/16) banker wins with a three-card (dep005-1d·5/16) total of 7, which pushes.

State DEP005 (1D, 60% depth, 5/16 Rank-0 left, EZ Bar-7)
Wager / MetricState DEP005 Value1D BaselineSettlement Note
DEP005 Banker (EZ Bar-7)45.9619% (-0.8139% EV)45.9595%DEP005 1D 60% (5 Rank-0)
DEP005 Player (1:1)44.5224% (-1.4395% EV)44.5249%DEP005 21-card 1D stub (0.9355 SD)
DEP005 Tie (8:1)9.5157% (-14.3584% EV)9.5156%DEP005 Rank-0 (11 out, 5 in)
TABLEAU & SCOREBOARD SEPARATION · DEP005

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP005 · 1D)

Comparing DEP005 (60% 1D depth, 11 Rank-0 removed, 5 remaining in 21 cards) against fresh-shoe baselines shows how finite-stub variance (0.9355 SD) coexists with a 0.8139% EZ Baccarat Banker house edge.

  • DEP005 (1D 60%): 21/52 cards with 5/16 Rank-0 (2A).
  • DEP005 (Rank-0 split): 45.9619% Banker, 44.5224% Player, 9.5157% Tie in 21 1D cards (2B).
  • DEP005 (EZ Bar-7 EV): -0.8139% Banker, -1.4395% Player, -14.3584% Tie, 0.9355 SD at 60% (2C).
  • DEP005 (1D roads): red/blue marks log Big Road columns, never 5 Rank-0 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 11 0-Value Tens & Faces cards leave a 1D shoe by 60% depth (DEP005), 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 (5/16 in 21 cards); Banker carries a -0.8139% 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