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COMBINATORIAL DEPLETION · 4D · RANK-7 · 80% DEPTH

4-Deck Seven-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP251)

Removing 15 of 16 Seven-Pip Card (Rank-7) cards at 80% penetration of a 4-deck (208-card) shoe leaves 1 Rank-7 cards inside a 42-card stub (DEP251), producing 45.8690% Banker wins, 44.5892% Player wins, 9.5417% Ties, and a 1.4132% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4132%
Player EV (1:1)
-1.2798%
Rank-7 in 42-Card Stub
1/16
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 B B B B P P P P B B P P B P
Big Eye Boy = = = ≠ = ≠ = = = = = ≠ = = ≠
Small Road = ≠ = ≠ = ≠ = ≠ = ≠ = ≠ ≠
Cockroach Pig = ≠ = ≠ = = = ≠ ≠

Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP251 (4D 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

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 (DEP251)
42 / 208 Cards

80% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).

Rank-7 Remaining
1 of 16 Cards

15 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 4D pack.

Banker EV (Super 6)
-1.4132%

Resolved at 45.8690% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2798%

Resolved at 44.5892% Player win rate with 0.9396 unit standard deviation.

Tie Incidence (8:1)
9.5417%

Produces a 14.1247% house hold on the 8-to-1 Tie wager in state DEP251.

FINITE-SHOE ENUMERATION · DEP251

How Seven-Pip Card Depletion at 80% Depth Impacts 4D (Super 6)

Shoe-stub analysis DEP251 inspects 42 remaining cards at 80% penetration of a 208-card (4D) pack after 15 Seven-Pip Card cards have cleared, leaving 1 Rank-7 cards and a 1.4132% Super 6 Banker edge.

Comparing initial 208-card 4D weights against stub DEP251 (42 cards, 80% depth, 1 Rank-7 left) illustrates how player stands pat on (dep251) two-card 7, and a player (4d-80%) third-card 7 is the highest (dep251·4d-80%) card that forces banker 4, 5, and 6 to draw (-0.83 bps slope, 1.4132% Super 6 edge).

State DEP251 (4D, 80% depth, 1/16 Rank-7 left, Super 6)
Wager / MetricState DEP251 Value4D BaselineSettlement Note
DEP251 Banker (Super 6)45.8690% (-1.4132% EV)45.8732%DEP251 4D 80% (1 Rank-7)
DEP251 Player (1:1)44.5892% (-1.2798% EV)44.5850%DEP251 42-card 4D stub (0.9396 SD)
DEP251 Tie (8:1)9.5417% (-14.1247% EV)9.5418%DEP251 Rank-7 (15 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP251

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP251 · 4D)

In studio and floor audits of DEP251 (42 cards undealt out of 208 in 4D at 80% depth), a 0.9396 unit standard deviation accompanies the 1-card Rank-7 stub under Super 6 (45.8690% Banker vs 44.5892% Player).

  • DEP251 (4D 80%): 42/208 cards with 1/16 Rank-7 (7A).
  • DEP251 (Rank-7 split): 45.8690% Banker, 44.5892% Player, 9.5417% Tie in 42 4D cards (7B).
  • DEP251 (Super 6 EV): -1.4132% Banker, -1.2798% Player, -14.1247% Tie, 0.9396 SD at 80% (7C).
  • DEP251 (4D roads): red/blue marks log Big Road columns, never 1 Rank-7 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 15 Seven-Pip Card cards leave a 4D shoe by 80% depth (DEP251), 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 (1/16 in 42 cards); Banker carries a -1.4132% expectation under Super 6.
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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