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COMBINATORIAL DEPLETION · 4D · RANK-5 · 60% DEPTH

4-Deck Five-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP230)

Removing 11 of 16 Five-Pip Card (Rank-5) cards at 60% penetration of a 4-deck (208-card) shoe leaves 5 Rank-5 cards inside a 83-card stub (DEP230), producing 45.8704% Banker wins, 44.5878% Player wins, 9.5417% Ties, and a 0.9708% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9708%
Player EV (1:1)
-1.2826%
Rank-5 in 83-Card Stub
5/16
Single-Hand Std Dev
0.9370
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP230 (4D Rank-5 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

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 (DEP230)
83 / 208 Cards

60% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).

Rank-5 Remaining
5 of 16 Cards

11 5-pip cards (final mandatory Player draw threshold) removed from the 4D pack.

Banker EV (EZ Bar-7)
-0.9708%

Resolved at 45.8704% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2826%

Resolved at 44.5878% Player win rate with 0.9370 unit standard deviation.

Tie Incidence (8:1)
9.5417%

Produces a 14.1244% house hold on the 8-to-1 Tie wager in state DEP230.

FINITE-SHOE ENUMERATION · DEP230

How Five-Pip Card Depletion at 60% Depth Impacts 4D (EZ Bar-7)

Under EZ Baccarat settlement (EZ Bar-7), combinatorial state DEP230 models a 4D carrier with 83 cards left (60% dealt) and 5/16 Five-Pip Card cards remaining, producing a 0.9708% Banker edge versus 1.2826% on Player.

Under the fixed third-card tableau for DEP230, because player draws on (dep230) two-card 5 and stands on (4d-60%) 6, while banker 3, 4, (dep230·4d-60%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted. With 5 Rank-5 cards inside 83 remaining 4D cards (60% dealt), single-card slope (-0.84 bps) keeps Banker house edge at 0.9708% and Player at 1.2826%.

State DEP230 (4D, 60% depth, 5/16 Rank-5 left, EZ Bar-7)
Wager / MetricState DEP230 Value4D BaselineSettlement Note
DEP230 Banker (EZ Bar-7)45.8704% (-0.9708% EV)45.8732%DEP230 4D 60% (5 Rank-5)
DEP230 Player (1:1)44.5878% (-1.2826% EV)44.5850%DEP230 83-card 4D stub (0.9370 SD)
DEP230 Tie (8:1)9.5417% (-14.1244% EV)9.5418%DEP230 Rank-5 (11 out, 5 in)
TABLEAU & SCOREBOARD SEPARATION · DEP230

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP230 · 4D)

While DEP230 tracks 11 removed Five-Pip Card cards across 60% of a 208-card (4D) shoe (83 remaining, 0.9708% EZ Bar-7 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP230 (4D 60%): 83/208 cards with 5/16 Rank-5 (7A).
  • DEP230 (Rank-5 split): 45.8704% Banker, 44.5878% Player, 9.5417% Tie in 83 4D cards (7B).
  • DEP230 (EZ Bar-7 EV): -0.9708% Banker, -1.2826% Player, -14.1244% Tie, 0.9370 SD at 60% (7C).
  • DEP230 (4D roads): red/blue marks log Big Road columns, never 5 Rank-5 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 11 Five-Pip Card cards leave a 4D shoe by 60% depth (DEP230), 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-5 stub counts (5/16 in 83 cards); Banker carries a -0.9708% 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