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COMBINATORIAL DEPLETION · 6D · RANK-0 · 85% DEPTH

6-Deck 0-Value Tens & Faces Depletion at 85% Penetration (EZ Baccarat Audit DEP279)

Removing 94 of 96 0-Value Tens & Faces (Rank-0) cards at 85% penetration of a 6-deck (312-card) shoe leaves 2 Rank-0 cards inside a 47-card stub (DEP279), producing 45.8687% Banker wins, 44.5862% Player wins, 9.5451% Ties, and a 0.9710% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9710%
Player EV (1:1)
-1.2824%
Rank-0 in 47-Card Stub
2/96
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 B P B P P B B P P B P
Big Eye Boy = = = = ≠ = = = ≠ ≠ = = = = ≠
Small Road = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP279 (6D 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP279)
47 / 312 Cards

85% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-0 Remaining
2 of 96 Cards

94 10, Jack, Queen, and King (zero-point cards) removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9710%

Resolved at 45.8687% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2824%

Resolved at 44.5862% Player win rate with 0.9380 unit standard deviation.

Tie Incidence (8:1)
9.5451%

Produces a 14.0940% house hold on the 8-to-1 Tie wager in state DEP279.

FINITE-SHOE ENUMERATION · DEP279

How 0-Value Tens & Faces Depletion at 85% Depth Impacts 6D (EZ Bar-7)

Shoe-stub analysis DEP279 inspects 47 remaining cards at 85% penetration of a 312-card (6D) pack after 94 0-Value Tens & Faces cards have cleared, leaving 2 Rank-0 cards and a 0.9710% EZ Baccarat Banker edge.

Why does Rank-0 carry a +0.18 bps per-card effect in DEP279? Depleting zero-point cards reduces (DEP279) modulo-10 standoffs and alters two-card (6D-85%) natural combinations paired with 8s (DEP279·6D-85%) and 9s, and at 85% penetration (2 0-Value Tens & Faces cards left in 47 6D cards), at 85% cut-card penetration, (dep279-6d) only 15% of the pack (2/96) remains and winning 3-card banker (dep279-6d·2/96) 7 hands push.

State DEP279 (6D, 85% depth, 2/96 Rank-0 left, EZ Bar-7)
Wager / MetricState DEP279 Value6D BaselineSettlement Note
DEP279 Banker (EZ Bar-7)45.8687% (-0.9710% EV)45.8648%DEP279 6D 85% (2 Rank-0)
DEP279 Player (1:1)44.5862% (-1.2824% EV)44.5903%DEP279 47-card 6D stub (0.9380 SD)
DEP279 Tie (8:1)9.5451% (-14.0940% EV)9.5449%DEP279 Rank-0 (94 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP279

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP279 · 6D)

Across 100-hand session horizons at state DEP279 (6D 85% depth, 2/96 Rank-0 in 47 cards), single-hand dispersion (0.9380 SD) dominates the 0.9710% (EZ Bar-7) Banker and 1.2824% Player expectation gap.

  • DEP279 (6D 85%): 47/312 cards with 2/96 Rank-0 (7A).
  • DEP279 (Rank-0 split): 45.8687% Banker, 44.5862% Player, 9.5451% Tie in 47 6D cards (7B).
  • DEP279 (EZ Bar-7 EV): -0.9710% Banker, -1.2824% Player, -14.0940% Tie, 0.9380 SD at 85% (7C).
  • DEP279 (6D roads): red/blue marks log Big Road columns, never 2 Rank-0 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 94 0-Value Tens & Faces cards leave a 6D shoe by 85% depth (DEP279), 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 (2/96 in 47 cards); Banker carries a -0.9710% 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