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COMBINATORIAL DEPLETION · 6D · RANK-6 · 70% DEPTH

6-Deck Six-Pip Card Depletion at 70% Penetration (5% Audit DEP330)

Removing 19 of 24 Six-Pip Card (Rank-6) cards at 70% penetration of a 6-deck (312-card) shoe leaves 5 Rank-6 cards inside a 94-card stub (DEP330), producing 45.8603% Banker wins, 44.5949% Player wins, 9.5448% Ties, and a 1.0277% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0277%
Player EV (1:1)
-1.2654%
Rank-6 in 94-Card Stub
5/24
Single-Hand Std Dev
0.9383
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 B P P
Big Eye Boy = = ≠ ≠ ≠ = = = = ≠ = = = ≠
Small Road ≠ = = ≠ ≠ = = ≠ ≠ = = ≠
Cockroach Pig = = = = ≠ ≠ ≠ ≠ ≠ = ≠

Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP330 (6D Rank-6 at 70% 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

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #2

Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP330)
94 / 312 Cards

70% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-6 Remaining
5 of 24 Cards

19 6-pip cards (standing threshold and Banker 6 trigger) removed from the 6D pack.

Banker EV (5% Vig)
-1.0277%

Resolved at 45.8603% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2654%

Resolved at 44.5949% Player win rate with 0.9383 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0966% house hold on the 8-to-1 Tie wager in state DEP330.

FINITE-SHOE ENUMERATION · DEP330

How Six-Pip Card Depletion at 70% Depth Impacts 6D (5% Vig)

Within six-deck Mini-Baccarat and Midi-Baccarat North American floors, profile DEP330 examines 70% shoe depletion (94 of 312 cards remaining) after 19 Rank-6 cards exit, leaving 5 Six-Pip Card cards and a 1.0277% Banker house hold under 5%.

Because removing 6-pip cards produces (dep330-rank-6) the strongest per-card shift toward (94c) the player side and reduces (dep330-rank-6·94c) barred banker 6 incidence, state DEP330 (70% 6D depth, 19 Rank-6 removed, 5 in 94 cards) registers a -1.13 bps rank derivative and 1.0277% Banker house edge (5% Vig).

State DEP330 (6D, 70% depth, 5/24 Rank-6 left, 5% Vig)
Wager / MetricState DEP330 Value6D BaselineSettlement Note
DEP330 Banker (5% Vig)45.8603% (-1.0277% EV)45.8648%DEP330 6D 70% (5 Rank-6)
DEP330 Player (1:1)44.5949% (-1.2654% EV)44.5903%DEP330 94-card 6D stub (0.9383 SD)
DEP330 Tie (8:1)9.5448% (-14.0966% EV)9.5449%DEP330 Rank-6 (19 out, 5 in)
TABLEAU & SCOREBOARD SEPARATION · DEP330

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP330 · 6D)

Comparing DEP330 (70% 6D depth, 19 Rank-6 removed, 5 remaining in 94 cards) against fresh-shoe baselines shows how finite-stub variance (0.9383 SD) coexists with a 1.0277% 5% Banker house edge.

  • DEP330 (6D 70%): 94/312 cards with 5/24 Rank-6 (3A).
  • DEP330 (Rank-6 split): 45.8603% Banker, 44.5949% Player, 9.5448% Tie in 94 6D cards (3B).
  • DEP330 (5% Vig EV): -1.0277% Banker, -1.2654% Player, -14.0966% Tie, 0.9383 SD at 70% (3C).
  • DEP330 (6D roads): red/blue marks log Big Road columns, never 5 Rank-6 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 19 Six-Pip Card cards leave a 6D shoe by 70% depth (DEP330), 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 (5/24 in 94 cards); Banker carries a -1.0277% expectation under 5%.
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