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COMBINATORIAL DEPLETION · 6D · RANK-0 · 60% DEPTH

6-Deck 0-Value Tens & Faces Depletion at 60% Penetration (EZ Baccarat Audit DEP275)

Removing 66 of 96 0-Value Tens & Faces (Rank-0) cards at 60% penetration of a 6-deck (312-card) shoe leaves 30 Rank-0 cards inside a 125-card stub (DEP275), producing 45.8672% Banker wins, 44.5878% Player wins, 9.5450% Ties, and a 0.9740% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9740%
Player EV (1:1)
-1.2794%
Rank-0 in 125-Card Stub
30/96
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 P B P B B P P B P B P B B
Big Eye Boy = = ≠ = = = ≠ ≠ = = ≠ = = = ≠
Small Road ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠

Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP275 (6D 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

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 (DEP275)
125 / 312 Cards

60% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-0 Remaining
30 of 96 Cards

66 10, Jack, Queen, and King (zero-point cards) removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9740%

Resolved at 45.8672% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2794%

Resolved at 44.5878% Player win rate with 0.9355 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0947% house hold on the 8-to-1 Tie wager in state DEP275.

FINITE-SHOE ENUMERATION · DEP275

How 0-Value Tens & Faces Depletion at 60% Depth Impacts 6D (EZ Bar-7)

Across 89,520,558,110,592,000 initial 6D permutations, depletion node DEP275 narrows to a 125-card stub (60% depth) holding 30 of 96 Rank-0 cards, where Banker resolves at 45.8672% (-0.9740% EV) and Player at 44.5878% (-1.2794% EV).

Depleting zero-point cards reduces (DEP275) modulo-10 standoffs and alters two-card (6D-60%) natural combinations paired with 8s (DEP275·6D-60%) and 9s. In state DEP275 (6D, 60% depth), each removed Rank-0 card applies a +0.18 bps baseline directional pressure before scaling to the 125-card remainder (30 Rank-0 left), while Banker wins pay 1:1 (DEP275-6D) with zero commission except when (30/96) Banker wins with a three-card (DEP275-6D·30/96) total of 7, which pushes.

State DEP275 (6D, 60% depth, 30/96 Rank-0 left, EZ Bar-7)
Wager / MetricState DEP275 Value6D BaselineSettlement Note
DEP275 Banker (EZ Bar-7)45.8672% (-0.9740% EV)45.8648%DEP275 6D 60% (30 Rank-0)
DEP275 Player (1:1)44.5878% (-1.2794% EV)44.5903%DEP275 125-card 6D stub (0.9355 SD)
DEP275 Tie (8:1)9.5450% (-14.0947% EV)9.5449%DEP275 Rank-0 (66 out, 30 in)
TABLEAU & SCOREBOARD SEPARATION · DEP275

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP275 · 6D)

While DEP275 tracks 66 removed 0-Value Tens & Faces cards across 60% of a 312-card (6D) shoe (125 remaining, 0.9740% EZ Bar-7 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP275 (6D 60%): 125/312 cards with 30/96 Rank-0 (1A).
  • DEP275 (Rank-0 split): 45.8672% Banker, 44.5878% Player, 9.5450% Tie in 125 6D cards (1B).
  • DEP275 (EZ Bar-7 EV): -0.9740% Banker, -1.2794% Player, -14.0947% Tie, 0.9355 SD at 60% (1C).
  • DEP275 (6D roads): red/blue marks log Big Road columns, never 30 Rank-0 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 66 0-Value Tens & Faces cards leave a 6D shoe by 60% depth (DEP275), 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 (30/96 in 125 cards); Banker carries a -0.9740% 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