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COMBINATORIAL DEPLETION · 2D · RANK-0 · 60% DEPTH

2-Deck 0-Value Tens & Faces Depletion at 60% Penetration (EZ Baccarat Audit DEP095)

Removing 22 of 32 0-Value Tens & Faces (Rank-0) cards at 60% penetration of a 2-deck (104-card) shoe leaves 10 Rank-0 cards inside a 42-card stub (DEP095), producing 45.9022% Banker wins, 44.5651% Player wins, 9.5327% Ties, and a 0.9163% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9163%
Player EV (1:1)
-1.3371%
Rank-0 in 42-Card Stub
10/32
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 B P P B B P P B B P B
Big Eye Boy = = = = = = ≠ = = = = = = =
Small Road = = = = = = ≠ ≠ = = = =
Cockroach Pig = = = = = = ≠ ≠ ≠ =

Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP095 (2D 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 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 (DEP095)
42 / 104 Cards

60% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-0 Remaining
10 of 32 Cards

22 10, Jack, Queen, and King (zero-point cards) removed from the 2D pack.

Banker EV (EZ Bar-7)
-0.9163%

Resolved at 45.9022% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.3371%

Resolved at 44.5651% Player win rate with 0.9355 unit standard deviation.

Tie Incidence (8:1)
9.5327%

Produces a 14.2054% house hold on the 8-to-1 Tie wager in state DEP095.

FINITE-SHOE ENUMERATION · DEP095

How 0-Value Tens & Faces Depletion at 60% Depth Impacts 2D (EZ Bar-7)

Removing 22 of 32 Rank-0 cards by the 60% mark of a 2-deck shoe (DEP095, 42 cards left) leaves 10 0-Value Tens & Faces cards and adjusts conditional probabilities to 45.9022% Banker, 44.5651% Player, and 9.5327% Tie under EZ Baccarat.

Depleting zero-point cards reduces (DEP095) modulo-10 standoffs and alters two-card (2D-60%) natural combinations paired with 8s (DEP095·2D-60%) and 9s. In state DEP095 (2D, 60% depth), each removed Rank-0 card applies a +0.18 bps baseline directional pressure before scaling to the 42-card remainder (10 Rank-0 left), while Banker wins pay 1:1 (DEP095-2D) with zero commission except when (10/32) Banker wins with a three-card (DEP095-2D·10/32) total of 7, which pushes.

State DEP095 (2D, 60% depth, 10/32 Rank-0 left, EZ Bar-7)
Wager / MetricState DEP095 Value2D BaselineSettlement Note
DEP095 Banker (EZ Bar-7)45.9022% (-0.9163% EV)45.8998%DEP095 2D 60% (10 Rank-0)
DEP095 Player (1:1)44.5651% (-1.3371% EV)44.5676%DEP095 42-card 2D stub (0.9355 SD)
DEP095 Tie (8:1)9.5327% (-14.2054% EV)9.5326%DEP095 Rank-0 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP095

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP095 · 2D)

Comparing DEP095 (60% 2D depth, 22 Rank-0 removed, 10 remaining in 42 cards) against fresh-shoe baselines shows how finite-stub variance (0.9355 SD) coexists with a 0.9163% EZ Baccarat Banker house edge.

  • DEP095 (2D 60%): 42/104 cards with 10/32 Rank-0 (4A).
  • DEP095 (Rank-0 split): 45.9022% Banker, 44.5651% Player, 9.5327% Tie in 42 2D cards (4B).
  • DEP095 (EZ Bar-7 EV): -0.9163% Banker, -1.3371% Player, -14.2054% Tie, 0.9355 SD at 60% (4C).
  • DEP095 (2D roads): red/blue marks log Big Road columns, never 10 Rank-0 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 22 0-Value Tens & Faces cards leave a 2D shoe by 60% depth (DEP095), 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 (10/32 in 42 cards); Banker carries a -0.9163% 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