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COMBINATORIAL DEPLETION · 6D · RANK-6 · 25% DEPTH

6-Deck Six-Pip Card Depletion at 25% Penetration (5% Audit DEP326)

Removing 7 of 24 Six-Pip Card (Rank-6) cards at 25% penetration of a 6-deck (312-card) shoe leaves 17 Rank-6 cards inside a 234-card stub (DEP326), producing 45.8635% Banker wins, 44.5916% Player wins, 9.5449% Ties, and a 1.0212% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0212%
Player EV (1:1)
-1.2719%
Rank-6 in 234-Card Stub
17/24
Single-Hand Std Dev
0.9338
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP326 (6D Rank-6 at 25% 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 (DEP326)
234 / 312 Cards

25% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-6 Remaining
17 of 24 Cards

7 6-pip cards (standing threshold and Banker 6 trigger) removed from the 6D pack.

Banker EV (5% Vig)
-1.0212%

Resolved at 45.8635% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2719%

Resolved at 44.5916% Player win rate with 0.9338 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0961% house hold on the 8-to-1 Tie wager in state DEP326.

FINITE-SHOE ENUMERATION · DEP326

How Six-Pip Card Depletion at 25% Depth Impacts 6D (5% Vig)

Finite-shoe specification DEP326 tracks Rank-6 removal at 25% depth in 6-deck play: with 17 of 24 Six-Pip Card cards left in the 234-card stub, Tie incidence is 9.5449% and Banker expectation settles at -1.0212% (5% Vig).

Mechanical draw trees in DEP326 reflect how removing 6-pip cards produces (dep326-rank-6) the strongest per-card shift toward (234c) the player side and reduces (dep326-rank-6·234c) barred banker 6 incidence. At 25% 6D depth (17 Rank-6 left of 24 in 234 cards, -1.13 bps slope), one-quarter of the shoe (dep326-6d) has exited the carrier and (17/24) winning banker wagers pay 0.95 (dep326-6d·17/24) to 1 after 5% house tax.

State DEP326 (6D, 25% depth, 17/24 Rank-6 left, 5% Vig)
Wager / MetricState DEP326 Value6D BaselineSettlement Note
DEP326 Banker (5% Vig)45.8635% (-1.0212% EV)45.8648%DEP326 6D 25% (17 Rank-6)
DEP326 Player (1:1)44.5916% (-1.2719% EV)44.5903%DEP326 234-card 6D stub (0.9338 SD)
DEP326 Tie (8:1)9.5449% (-14.0961% EV)9.5449%DEP326 Rank-6 (7 out, 17 in)
TABLEAU & SCOREBOARD SEPARATION · DEP326

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP326 · 6D)

On the electronic scoreboard for DEP326 (6D, 25% depth, 234 cards left), Bead Plate and Big Road circles record Banker (45.8635%) and Player (44.5916%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-6 card counts (17/24).

  • DEP326 (6D 25%): 234/312 cards with 17/24 Rank-6 (4A).
  • DEP326 (Rank-6 split): 45.8635% Banker, 44.5916% Player, 9.5449% Tie in 234 6D cards (4B).
  • DEP326 (5% Vig EV): -1.0212% Banker, -1.2719% Player, -14.0961% Tie, 0.9338 SD at 25% (4C).
  • DEP326 (6D roads): red/blue marks log Big Road columns, never 17 Rank-6 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 7 Six-Pip Card cards leave a 6D shoe by 25% depth (DEP326), 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 (17/24 in 234 cards); Banker carries a -1.0212% 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