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COMBINATORIAL DEPLETION · 6D · RANK-3 · 60% DEPTH

6-Deck Three-Pip (Trey) Depletion at 60% Penetration (EZ Baccarat Audit DEP302)

Removing 17 of 24 Three-Pip (Trey) (Rank-3) cards at 60% penetration of a 6-deck (312-card) shoe leaves 7 Rank-3 cards inside a 125-card stub (DEP302), producing 45.8670% Banker wins, 44.5880% Player wins, 9.5450% Ties, and a 0.9744% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9744%
Player EV (1:1)
-1.2790%
Rank-3 in 125-Card Stub
7/24
Single-Hand Std Dev
0.9364
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP302 (6D Rank-3 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP302)
125 / 312 Cards

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

Rank-3 Remaining
7 of 24 Cards

17 3-pip cards across all four suits removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9744%

Resolved at 45.8670% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2790%

Resolved at 44.5880% Player win rate with 0.9364 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0953% house hold on the 8-to-1 Tie wager in state DEP302.

FINITE-SHOE ENUMERATION · DEP302

How Three-Pip (Trey) Depletion at 60% Depth Impacts 6D (EZ Bar-7)

Within six-deck Mini-Baccarat and Midi-Baccarat North American floors, profile DEP302 examines 60% shoe depletion (125 of 312 cards remaining) after 17 Rank-3 cards exit, leaving 7 Three-Pip (Trey) cards and a 0.9744% Banker house hold under EZ Baccarat.

Tracking DEP302 across 125 remaining 6D cards (60% depth) shows that each removed 3-pip card (dep302-rank-3) modifies the boundary between banker (125c) standing on 5 and drawing (dep302-rank-3·125c) against mid-range player pulls. With 17 Rank-3 cards gone (+0.65 bps unit sensitivity), Banker expectation is -0.9744% (EZ Bar-7) vs -1.2790% on Player.

State DEP302 (6D, 60% depth, 7/24 Rank-3 left, EZ Bar-7)
Wager / MetricState DEP302 Value6D BaselineSettlement Note
DEP302 Banker (EZ Bar-7)45.8670% (-0.9744% EV)45.8648%DEP302 6D 60% (7 Rank-3)
DEP302 Player (1:1)44.5880% (-1.2790% EV)44.5903%DEP302 125-card 6D stub (0.9364 SD)
DEP302 Tie (8:1)9.5450% (-14.0953% EV)9.5449%DEP302 Rank-3 (17 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP302

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP302 · 6D)

Scoreboard literacy in DEP302 separates two independent concepts: 6D card-removal math (7 Rank-3 left in 125 cards at 60% depth, 0.9364 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP302 (6D 60%): 125/312 cards with 7/24 Rank-3 (3A).
  • DEP302 (Rank-3 split): 45.8670% Banker, 44.5880% Player, 9.5450% Tie in 125 6D cards (3B).
  • DEP302 (EZ Bar-7 EV): -0.9744% Banker, -1.2790% Player, -14.0953% Tie, 0.9364 SD at 60% (3C).
  • DEP302 (6D roads): red/blue marks log Big Road columns, never 7 Rank-3 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 17 Three-Pip (Trey) cards leave a 6D shoe by 60% depth (DEP302), 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-3 stub counts (7/24 in 125 cards); Banker carries a -0.9744% 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