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COMBINATORIAL DEPLETION · 6D · RANK-4 · 80% DEPTH

6-Deck Four-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP314)

Removing 22 of 24 Four-Pip Card (Rank-4) cards at 80% penetration of a 6-deck (312-card) shoe leaves 2 Rank-4 cards inside a 62-card stub (DEP314), producing 45.8706% Banker wins, 44.5844% Player wins, 9.5450% Ties, and a 1.4068% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4068%
Player EV (1:1)
-1.2862%
Rank-4 in 62-Card Stub
2/24
Single-Hand Std Dev
0.9387
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP314 (6D Rank-4 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 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 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 (DEP314)
62 / 312 Cards

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

Rank-4 Remaining
2 of 24 Cards

22 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.

Banker EV (Super 6)
-1.4068%

Resolved at 45.8706% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2862%

Resolved at 44.5844% Player win rate with 0.9387 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0950% house hold on the 8-to-1 Tie wager in state DEP314.

FINITE-SHOE ENUMERATION · DEP314

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

Under Super 6 settlement (Super 6), combinatorial state DEP314 models a 6D carrier with 62 cards left (80% dealt) and 2/24 Four-Pip Card cards remaining, producing a 1.4068% Banker edge versus 1.2862% on Player.

For DEP314 (6-deck shoe, 80% dealt), rank 4 sits at (dep314) the exact pivot where banker (6d-80%) 5 begins drawing (player third (dep314·6d-80%) card 4–7) while banker 3 and 4 also draw. Holding 2 of 24 Rank-4 cards in a 62-card stub with +1.19 bps rank slope yields 45.8706% Banker, 44.5844% Player, and 9.5450% Tie.

State DEP314 (6D, 80% depth, 2/24 Rank-4 left, Super 6)
Wager / MetricState DEP314 Value6D BaselineSettlement Note
DEP314 Banker (Super 6)45.8706% (-1.4068% EV)45.8648%DEP314 6D 80% (2 Rank-4)
DEP314 Player (1:1)44.5844% (-1.2862% EV)44.5903%DEP314 62-card 6D stub (0.9387 SD)
DEP314 Tie (8:1)9.5450% (-14.0950% EV)9.5449%DEP314 Rank-4 (22 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP314

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP314 · 6D)

Even at 80% penetration in DEP314 where 22 Rank-4 cards have exited a 6D shoe (2 left in 62 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.4068% EV, Super 6) or Player (-1.2862% EV) is favored next.

  • DEP314 (6D 80%): 62/312 cards with 2/24 Rank-4 (7A).
  • DEP314 (Rank-4 split): 45.8706% Banker, 44.5844% Player, 9.5450% Tie in 62 6D cards (7B).
  • DEP314 (Super 6 EV): -1.4068% Banker, -1.2862% Player, -14.0950% Tie, 0.9387 SD at 80% (7C).
  • DEP314 (6D roads): red/blue marks log Big Road columns, never 2 Rank-4 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Four-Pip Card cards leave a 6D shoe by 80% depth (DEP314), 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-4 stub counts (2/24 in 62 cards); Banker carries a -1.4068% 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