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COMBINATORIAL DEPLETION · 6D · RANK-4 · 60% DEPTH

6-Deck Four-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP311)

Removing 17 of 24 Four-Pip Card (Rank-4) cards at 60% penetration of a 6-deck (312-card) shoe leaves 7 Rank-4 cards inside a 125-card stub (DEP311), producing 45.8688% Banker wins, 44.5862% Player wins, 9.5450% Ties, and a 0.9707% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9707%
Player EV (1:1)
-1.2827%
Rank-4 in 125-Card Stub
7/24
Single-Hand Std Dev
0.9367
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP311 (6D Rank-4 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP311)
125 / 312 Cards

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

Rank-4 Remaining
7 of 24 Cards

17 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9707%

Resolved at 45.8688% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2827%

Resolved at 44.5862% Player win rate with 0.9367 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0953% house hold on the 8-to-1 Tie wager in state DEP311.

FINITE-SHOE ENUMERATION · DEP311

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

When a 6D shoe reaches 60% cut-card depth (125 of 312 cards undealt, state DEP311) with 17 Four-Pip Card cards removed and 7 remaining, Player wins 44.5862% (1.2827% edge) while Banker wins 45.8688% (0.9707% edge under EZ Baccarat).

In 6D audit DEP311 (125/312 stub at 60% depth), removing 4s produces the (dep311-rank-4) single largest per-card shift toward (125c) banker (and away from player) (dep311-rank-4·125c) of any rank in the shoe. Removing 17 Rank-4 cards (+1.19 bps per card) alongside EZ Bar-7 rules sets Tie hold to 14.0953% (9.5450% frequency).

State DEP311 (6D, 60% depth, 7/24 Rank-4 left, EZ Bar-7)
Wager / MetricState DEP311 Value6D BaselineSettlement Note
DEP311 Banker (EZ Bar-7)45.8688% (-0.9707% EV)45.8648%DEP311 6D 60% (7 Rank-4)
DEP311 Player (1:1)44.5862% (-1.2827% EV)44.5903%DEP311 125-card 6D stub (0.9367 SD)
DEP311 Tie (8:1)9.5450% (-14.0953% EV)9.5449%DEP311 Rank-4 (17 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP311

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP311 · 6D)

On the electronic scoreboard for DEP311 (6D, 60% depth, 125 cards left), Bead Plate and Big Road circles record Banker (45.8688%) and Player (44.5862%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-4 card counts (7/24).

  • DEP311 (6D 60%): 125/312 cards with 7/24 Rank-4 (6A).
  • DEP311 (Rank-4 split): 45.8688% Banker, 44.5862% Player, 9.5450% Tie in 125 6D cards (6B).
  • DEP311 (EZ Bar-7 EV): -0.9707% Banker, -1.2827% Player, -14.0953% Tie, 0.9367 SD at 60% (6C).
  • DEP311 (6D roads): red/blue marks log Big Road columns, never 7 Rank-4 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 17 Four-Pip Card cards leave a 6D shoe by 60% depth (DEP311), 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 (7/24 in 125 cards); Banker carries a -0.9707% 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