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COMBINATORIAL DEPLETION · 6D · RANK-8 · 70% DEPTH

6-Deck Eight-Pip Card Depletion at 70% Penetration (5% Audit DEP348)

Removing 19 of 24 Eight-Pip Card (Rank-8) cards at 70% penetration of a 6-deck (312-card) shoe leaves 5 Rank-8 cards inside a 94-card stub (DEP348), producing 45.8628% Banker wins, 44.5924% Player wins, 9.5448% Ties, and a 1.0227% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0227%
Player EV (1:1)
-1.2704%
Rank-8 in 94-Card Stub
5/24
Single-Hand Std Dev
0.9389
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP348 (6D Rank-8 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 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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP348)
94 / 312 Cards

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

Rank-8 Remaining
5 of 24 Cards

19 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 6D pack.

Banker EV (5% Vig)
-1.0227%

Resolved at 45.8628% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2704%

Resolved at 44.5924% Player win rate with 0.9389 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0966% house hold on the 8-to-1 Tie wager in state DEP348.

FINITE-SHOE ENUMERATION · DEP348

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

Exact conditional enumeration DEP348 for a 6D shoe at 70% depth (94/312 cards undealt) with 5 remaining Rank-8 cards confirms a 1.0227% Banker edge (5% Vig), 1.2704% Player edge, and 14.0966% Tie edge.

Why does Rank-8 carry a -0.50 bps per-card effect in DEP348? On Banker total 3, (DEP348) Banker draws against every Player (6D-70%) third card except 8; removing (DEP348·6D-70%) 8s eliminates Banker 3's sole standing exception, and at 70% penetration (5 Eight-Pip Card cards left in 94 6D cards), with 70% of cards (dep348-6d) dealt and 30% remaining ahead (5/24) of the cut card, winning (dep348-6d·5/24) banker bets pay 0.95 to 1.

State DEP348 (6D, 70% depth, 5/24 Rank-8 left, 5% Vig)
Wager / MetricState DEP348 Value6D BaselineSettlement Note
DEP348 Banker (5% Vig)45.8628% (-1.0227% EV)45.8648%DEP348 6D 70% (5 Rank-8)
DEP348 Player (1:1)44.5924% (-1.2704% EV)44.5903%DEP348 94-card 6D stub (0.9389 SD)
DEP348 Tie (8:1)9.5448% (-14.0966% EV)9.5449%DEP348 Rank-8 (19 out, 5 in)
TABLEAU & SCOREBOARD SEPARATION · DEP348

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP348 · 6D)

Whether DEP348 is observed in six-deck Mini-Baccarat and Midi-Baccarat North American floors at 70% depth (94/312 cards left, 5 Rank-8 remaining), 5% Vig settlement locks Banker EV at -1.0227% and Player EV at -1.2704% with 9.5448% Ties.

  • DEP348 (6D 70%): 94/312 cards with 5/24 Rank-8 (2A).
  • DEP348 (Rank-8 split): 45.8628% Banker, 44.5924% Player, 9.5448% Tie in 94 6D cards (2B).
  • DEP348 (5% Vig EV): -1.0227% Banker, -1.2704% Player, -14.0966% Tie, 0.9389 SD at 70% (2C).
  • DEP348 (6D roads): red/blue marks log Big Road columns, never 5 Rank-8 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 19 Eight-Pip Card cards leave a 6D shoe by 70% depth (DEP348), 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 (5/24 in 94 cards); Banker carries a -1.0227% 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