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

6-Deck Six-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP329)

Removing 17 of 24 Six-Pip Card (Rank-6) cards at 60% penetration of a 6-deck (312-card) shoe leaves 7 Rank-6 cards inside a 125-card stub (DEP329), producing 45.8610% Banker wins, 44.5942% Player wins, 9.5448% Ties, and a 0.9867% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9867%
Player EV (1:1)
-1.2667%
Rank-6 in 125-Card Stub
7/24
Single-Hand Std Dev
0.9373
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 B P B B P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠

Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP329 (6D Rank-6 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 (DEP329)
125 / 312 Cards

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

Rank-6 Remaining
7 of 24 Cards

17 6-pip cards (standing threshold and Banker 6 trigger) removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9867%

Resolved at 45.8610% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2667%

Resolved at 44.5942% Player win rate with 0.9373 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0965% house hold on the 8-to-1 Tie wager in state DEP329.

FINITE-SHOE ENUMERATION · DEP329

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

Card-removal benchmark DEP329 measures Six-Pip Card (Rank-6) scarcity at 60% depth in a 6-deck shoe: 17 removed ranks leave 7 in the 125-card remainder, shifting Banker win share to 45.8610% (0.9867% edge, EZ Bar-7).

Tableau audit DEP329 confirms that banker 6 only draws (dep329) when player pulls a third-card (6d-60%) 6 or 7; depleting 6s (dep329·6d-60%) directly alters both banker 6 draws and super 6 settlement frequency. Inside the 125-card 6D stub (60% depth, 7/24 Rank-6 remaining, -1.13 bps slope), standard deviation is 0.9373 under EZ Bar-7.

State DEP329 (6D, 60% depth, 7/24 Rank-6 left, EZ Bar-7)
Wager / MetricState DEP329 Value6D BaselineSettlement Note
DEP329 Banker (EZ Bar-7)45.8610% (-0.9867% EV)45.8648%DEP329 6D 60% (7 Rank-6)
DEP329 Player (1:1)44.5942% (-1.2667% EV)44.5903%DEP329 125-card 6D stub (0.9373 SD)
DEP329 Tie (8:1)9.5448% (-14.0965% EV)9.5449%DEP329 Rank-6 (17 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP329

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP329 · 6D)

Even at 60% penetration in DEP329 where 17 Rank-6 cards have exited a 6D shoe (7 left in 125 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-0.9867% EV, EZ Bar-7) or Player (-1.2667% EV) is favored next.

  • DEP329 (6D 60%): 125/312 cards with 7/24 Rank-6 (5A).
  • DEP329 (Rank-6 split): 45.8610% Banker, 44.5942% Player, 9.5448% Tie in 125 6D cards (5B).
  • DEP329 (EZ Bar-7 EV): -0.9867% Banker, -1.2667% Player, -14.0965% Tie, 0.9373 SD at 60% (5C).
  • DEP329 (6D roads): red/blue marks log Big Road columns, never 7 Rank-6 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 17 Six-Pip Card cards leave a 6D shoe by 60% depth (DEP329), 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-6 stub counts (7/24 in 125 cards); Banker carries a -0.9867% 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