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COMBINATORIAL DEPLETION · 6D · RANK-7 · 80% DEPTH

6-Deck Seven-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP341)

Removing 22 of 24 Seven-Pip Card (Rank-7) cards at 80% penetration of a 6-deck (312-card) shoe leaves 2 Rank-7 cards inside a 62-card stub (DEP341), producing 45.8607% Banker wins, 44.5945% Player wins, 9.5448% Ties, and a 1.4267% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4267%
Player EV (1:1)
-1.2663%
Rank-7 in 62-Card Stub
2/24
Single-Hand Std Dev
0.9396
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 DEP341 (6D Rank-7 at 80% 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 (DEP341)
62 / 312 Cards

80% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-7 Remaining
2 of 24 Cards

22 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 6D pack.

Banker EV (Super 6)
-1.4267%

Resolved at 45.8607% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2663%

Resolved at 44.5945% Player win rate with 0.9396 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0968% house hold on the 8-to-1 Tie wager in state DEP341.

FINITE-SHOE ENUMERATION · DEP341

How Seven-Pip Card Depletion at 80% Depth Impacts 6D (Super 6)

At 80% penetration of a 312-card (6D) shoe, state DEP341 isolates 22 dealt Rank-7 cards (2 remaining inside 62 stub cards), yielding 45.8607% Banker wins, 44.5945% Player wins, and 0.9396 per-hand standard deviation under Super 6.

Because depleting 7s lowers the (dep341-rank-7) rate of winning three-card banker (62c) 7 hands (the barred push (dep341-rank-7·62c) total on ez baccarat tables), state DEP341 (80% 6D depth, 22 Rank-7 removed, 2 in 62 cards) registers a -0.83 bps rank derivative and 1.4267% Banker house edge (Super 6).

State DEP341 (6D, 80% depth, 2/24 Rank-7 left, Super 6)
Wager / MetricState DEP341 Value6D BaselineSettlement Note
DEP341 Banker (Super 6)45.8607% (-1.4267% EV)45.8648%DEP341 6D 80% (2 Rank-7)
DEP341 Player (1:1)44.5945% (-1.2663% EV)44.5903%DEP341 62-card 6D stub (0.9396 SD)
DEP341 Tie (8:1)9.5448% (-14.0968% EV)9.5449%DEP341 Rank-7 (22 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP341

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP341 · 6D)

On the electronic scoreboard for DEP341 (6D, 80% depth, 62 cards left), Bead Plate and Big Road circles record Banker (45.8607%) and Player (44.5945%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-7 card counts (2/24).

  • DEP341 (6D 80%): 62/312 cards with 2/24 Rank-7 (2A).
  • DEP341 (Rank-7 split): 45.8607% Banker, 44.5945% Player, 9.5448% Tie in 62 6D cards (2B).
  • DEP341 (Super 6 EV): -1.4267% Banker, -1.2663% Player, -14.0968% Tie, 0.9396 SD at 80% (2C).
  • DEP341 (6D roads): red/blue marks log Big Road columns, never 2 Rank-7 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Seven-Pip Card cards leave a 6D shoe by 80% depth (DEP341), 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-7 stub counts (2/24 in 62 cards); Banker carries a -1.4267% expectation under Super 6.
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