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COMBINATORIAL DEPLETION · 6D · RANK-7 · 60% DEPTH

6-Deck Seven-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP338)

Removing 17 of 24 Seven-Pip Card (Rank-7) cards at 60% penetration of a 6-deck (312-card) shoe leaves 7 Rank-7 cards inside a 125-card stub (DEP338), producing 45.8620% Banker wins, 44.5932% Player wins, 9.5448% Ties, and a 0.9846% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9846%
Player EV (1:1)
-1.2688%
Rank-7 in 125-Card Stub
7/24
Single-Hand Std Dev
0.9376
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 B P P B B P B P B B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP338 (6D Rank-7 at 60% 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 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 (DEP338)
125 / 312 Cards

60% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-7 Remaining
7 of 24 Cards

17 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9846%

Resolved at 45.8620% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2688%

Resolved at 44.5932% Player win rate with 0.9376 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0965% house hold on the 8-to-1 Tie wager in state DEP338.

FINITE-SHOE ENUMERATION · DEP338

How Seven-Pip Card Depletion at 60% Depth Impacts 6D (EZ Bar-7)

In combinatorial record DEP338, depleting 17 Rank-7 cards across 60% of a 6D (312-card) pack leaves 7 Seven-Pip Card cards among 125 remaining cards, setting Banker win probability to 45.8620% and house edge to 0.9846% (EZ Bar-7).

Combinatorial weighting in DEP338 (125 cards left from 312 at 60% depth) is governed by two rules: player stands pat on (dep338) two-card 7, and a player (6d-60%) third-card 7 is the highest (dep338·6d-60%) card that forces banker 4, 5, and 6 to draw, and banker wins pay 1:1 (dep338-6d) with zero commission except when (7/24) banker wins with a three-card (dep338-6d·7/24) total of 7, which pushes (-0.83 bps per Rank-7 removed).

State DEP338 (6D, 60% depth, 7/24 Rank-7 left, EZ Bar-7)
Wager / MetricState DEP338 Value6D BaselineSettlement Note
DEP338 Banker (EZ Bar-7)45.8620% (-0.9846% EV)45.8648%DEP338 6D 60% (7 Rank-7)
DEP338 Player (1:1)44.5932% (-1.2688% EV)44.5903%DEP338 125-card 6D stub (0.9376 SD)
DEP338 Tie (8:1)9.5448% (-14.0965% EV)9.5449%DEP338 Rank-7 (17 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP338

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP338 · 6D)

Synthesizing DEP338 (6D at 60% depth, 7 Seven-Pip Card cards left inside 125 stub cards): EZ Baccarat rules produce a 0.9846% Banker edge, 1.2688% Player edge, 14.0965% Tie edge, and 0.9376 unit volatility.

  • DEP338 (6D 60%): 125/312 cards with 7/24 Rank-7 (1A).
  • DEP338 (Rank-7 split): 45.8620% Banker, 44.5932% Player, 9.5448% Tie in 125 6D cards (1B).
  • DEP338 (EZ Bar-7 EV): -0.9846% Banker, -1.2688% Player, -14.0965% Tie, 0.9376 SD at 60% (1C).
  • DEP338 (6D roads): red/blue marks log Big Road columns, never 7 Rank-7 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 17 Seven-Pip Card cards leave a 6D shoe by 60% depth (DEP338), 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 (7/24 in 125 cards); Banker carries a -0.9846% expectation under EZ Baccarat.
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