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COMBINATORIAL DEPLETION · 6D · RANK-6 · 10% DEPTH

6-Deck Six-Pip Card Depletion at 10% Penetration (5% Audit DEP325)

Removing 3 of 24 Six-Pip Card (Rank-6) cards at 10% penetration of a 6-deck (312-card) shoe leaves 21 Rank-6 cards inside a 281-card stub (DEP325), producing 45.8643% Banker wins, 44.5908% Player wins, 9.5449% Ties, and a 1.0197% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0197%
Player EV (1:1)
-1.2735%
Rank-6 in 281-Card Stub
21/24
Single-Hand Std Dev
0.9323
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP325 (6D Rank-6 at 10% 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 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 (DEP325)
281 / 312 Cards

10% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-6 Remaining
21 of 24 Cards

3 6-pip cards (standing threshold and Banker 6 trigger) removed from the 6D pack.

Banker EV (5% Vig)
-1.0197%

Resolved at 45.8643% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2735%

Resolved at 44.5908% Player win rate with 0.9323 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0960% house hold on the 8-to-1 Tie wager in state DEP325.

FINITE-SHOE ENUMERATION · DEP325

How Six-Pip Card Depletion at 10% Depth Impacts 6D (5% Vig)

When a 6D shoe reaches 10% cut-card depth (281 of 312 cards undealt, state DEP325) with 3 Six-Pip Card cards removed and 21 remaining, Player wins 44.5908% (1.2735% edge) while Banker wins 45.8643% (1.0197% edge under 5%).

For DEP325 (6-deck shoe, 10% dealt), banker 6 only draws (dep325) when player pulls a third-card (6d-10%) 6 or 7; depleting 6s (dep325·6d-10%) directly alters both banker 6 draws and super 6 settlement frequency. Holding 21 of 24 Rank-6 cards in a 281-card stub with -1.13 bps rank slope yields 45.8643% Banker, 44.5908% Player, and 9.5449% Tie.

State DEP325 (6D, 10% depth, 21/24 Rank-6 left, 5% Vig)
Wager / MetricState DEP325 Value6D BaselineSettlement Note
DEP325 Banker (5% Vig)45.8643% (-1.0197% EV)45.8648%DEP325 6D 10% (21 Rank-6)
DEP325 Player (1:1)44.5908% (-1.2735% EV)44.5903%DEP325 281-card 6D stub (0.9323 SD)
DEP325 Tie (8:1)9.5449% (-14.0960% EV)9.5449%DEP325 Rank-6 (3 out, 21 in)
TABLEAU & SCOREBOARD SEPARATION · DEP325

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP325 · 6D)

Across 100-hand session horizons at state DEP325 (6D 10% depth, 21/24 Rank-6 in 281 cards), single-hand dispersion (0.9323 SD) dominates the 1.0197% (5% Vig) Banker and 1.2735% Player expectation gap.

  • DEP325 (6D 10%): 281/312 cards with 21/24 Rank-6 (6A).
  • DEP325 (Rank-6 split): 45.8643% Banker, 44.5908% Player, 9.5449% Tie in 281 6D cards (6B).
  • DEP325 (5% Vig EV): -1.0197% Banker, -1.2735% Player, -14.0960% Tie, 0.9323 SD at 10% (6C).
  • DEP325 (6D roads): red/blue marks log Big Road columns, never 21 Rank-6 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Six-Pip Card cards leave a 6D shoe by 10% depth (DEP325), 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 (21/24 in 281 cards); Banker carries a -1.0197% 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