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COMBINATORIAL DEPLETION · 6D · RANK-8 · 25% DEPTH

6-Deck Eight-Pip Card Depletion at 25% Penetration (5% Audit DEP344)

Removing 7 of 24 Eight-Pip Card (Rank-8) cards at 25% penetration of a 6-deck (312-card) shoe leaves 17 Rank-8 cards inside a 234-card stub (DEP344), producing 45.8642% Banker wins, 44.5909% Player wins, 9.5449% Ties, and a 1.0199% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0199%
Player EV (1:1)
-1.2733%
Rank-8 in 234-Card Stub
17/24
Single-Hand Std Dev
0.9344
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP344 (6D Rank-8 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

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

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 (DEP344)
234 / 312 Cards

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

Rank-8 Remaining
17 of 24 Cards

7 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 6D pack.

Banker EV (5% Vig)
-1.0199%

Resolved at 45.8642% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2733%

Resolved at 44.5909% Player win rate with 0.9344 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0961% house hold on the 8-to-1 Tie wager in state DEP344.

FINITE-SHOE ENUMERATION · DEP344

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

Within six-deck Mini-Baccarat and Midi-Baccarat North American floors, profile DEP344 examines 25% shoe depletion (234 of 312 cards remaining) after 7 Rank-8 cards exit, leaving 17 Eight-Pip Card cards and a 1.0199% Banker house hold under 5%.

On Banker total 3, (DEP344) Banker draws against every Player (6D-25%) third card except 8; removing (DEP344·6D-25%) 8s eliminates Banker 3's sole standing exception. In state DEP344 (6D, 25% depth), each removed Rank-8 card applies a -0.50 bps baseline directional pressure before scaling to the 234-card remainder (17 Rank-8 left), while One-quarter of the shoe (DEP344-6D) has exited the carrier and (17/24) winning Banker wagers pay 0.95 (DEP344-6D·17/24) to 1 after 5% house tax.

State DEP344 (6D, 25% depth, 17/24 Rank-8 left, 5% Vig)
Wager / MetricState DEP344 Value6D BaselineSettlement Note
DEP344 Banker (5% Vig)45.8642% (-1.0199% EV)45.8648%DEP344 6D 25% (17 Rank-8)
DEP344 Player (1:1)44.5909% (-1.2733% EV)44.5903%DEP344 234-card 6D stub (0.9344 SD)
DEP344 Tie (8:1)9.5449% (-14.0961% EV)9.5449%DEP344 Rank-8 (7 out, 17 in)
TABLEAU & SCOREBOARD SEPARATION · DEP344

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP344 · 6D)

Even at 25% penetration in DEP344 where 7 Rank-8 cards have exited a 6D shoe (17 left in 234 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.0199% EV, 5% Vig) or Player (-1.2733% EV) is favored next.

  • DEP344 (6D 25%): 234/312 cards with 17/24 Rank-8 (3A).
  • DEP344 (Rank-8 split): 45.8642% Banker, 44.5909% Player, 9.5449% Tie in 234 6D cards (3B).
  • DEP344 (5% Vig EV): -1.0199% Banker, -1.2733% Player, -14.0961% Tie, 0.9344 SD at 25% (3C).
  • DEP344 (6D roads): red/blue marks log Big Road columns, never 17 Rank-8 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 7 Eight-Pip Card cards leave a 6D shoe by 25% depth (DEP344), 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-8 stub counts (17/24 in 234 cards); Banker carries a -1.0199% 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