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

6-Deck Six-Pip Card Depletion at 85% Penetration (EZ Baccarat Audit DEP333)

Removing 23 of 24 Six-Pip Card (Rank-6) cards at 85% penetration of a 6-deck (312-card) shoe leaves 1 Rank-6 cards inside a 47-card stub (DEP333), producing 45.8589% Banker wins, 44.5963% Player wins, 9.5448% Ties, and a 0.9908% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9908%
Player EV (1:1)
-1.2626%
Rank-6 in 47-Card Stub
1/24
Single-Hand Std Dev
0.9398
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 B P P B P B B P P B P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ = ≠ = = ≠ ≠ =

Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP333 (6D Rank-6 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 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 (DEP333)
47 / 312 Cards

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

Rank-6 Remaining
1 of 24 Cards

23 6-pip cards (standing threshold and Banker 6 trigger) removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9908%

Resolved at 45.8589% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2626%

Resolved at 44.5963% Player win rate with 0.9398 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0968% house hold on the 8-to-1 Tie wager in state DEP333.

FINITE-SHOE ENUMERATION · DEP333

How Six-Pip Card Depletion at 85% Depth Impacts 6D (EZ Bar-7)

Removing 23 of 24 Rank-6 cards by the 85% mark of a 6-deck shoe (DEP333, 47 cards left) leaves 1 Six-Pip Card cards and adjusts conditional probabilities to 45.8589% Banker, 44.5963% Player, and 9.5448% Tie under EZ Baccarat.

Banker 6 only draws (DEP333) when Player pulls a third-card (6D-85%) 6 or 7; depleting 6s (DEP333·6D-85%) directly alters both Banker 6 draws and Super 6 settlement frequency. In state DEP333 (6D, 85% depth), each removed Rank-6 card applies a -1.13 bps baseline directional pressure before scaling to the 47-card remainder (1 Rank-6 left), while At 85% cut-card penetration, (DEP333-6D) only 15% of the pack (1/24) remains and winning 3-card Banker (DEP333-6D·1/24) 7 hands push.

State DEP333 (6D, 85% depth, 1/24 Rank-6 left, EZ Bar-7)
Wager / MetricState DEP333 Value6D BaselineSettlement Note
DEP333 Banker (EZ Bar-7)45.8589% (-0.9908% EV)45.8648%DEP333 6D 85% (1 Rank-6)
DEP333 Player (1:1)44.5963% (-1.2626% EV)44.5903%DEP333 47-card 6D stub (0.9398 SD)
DEP333 Tie (8:1)9.5448% (-14.0968% EV)9.5449%DEP333 Rank-6 (23 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP333

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP333 · 6D)

Whether DEP333 is observed in six-deck Mini-Baccarat and Midi-Baccarat North American floors at 85% depth (47/312 cards left, 1 Rank-6 remaining), EZ Bar-7 settlement locks Banker EV at -0.9908% and Player EV at -1.2626% with 9.5448% Ties.

  • DEP333 (6D 85%): 47/312 cards with 1/24 Rank-6 (4A).
  • DEP333 (Rank-6 split): 45.8589% Banker, 44.5963% Player, 9.5448% Tie in 47 6D cards (4B).
  • DEP333 (EZ Bar-7 EV): -0.9908% Banker, -1.2626% Player, -14.0968% Tie, 0.9398 SD at 85% (4C).
  • DEP333 (6D roads): red/blue marks log Big Road columns, never 1 Rank-6 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 23 Six-Pip Card cards leave a 6D shoe by 85% depth (DEP333), 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 (1/24 in 47 cards); Banker carries a -0.9908% 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