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COMBINATORIAL DEPLETION · 2D · RANK-5 · 60% DEPTH

2-Deck Five-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP140)

Removing 6 of 8 Five-Pip Card (Rank-5) cards at 60% penetration of a 2-deck (104-card) shoe leaves 2 Rank-5 cards inside a 42-card stub (DEP140), producing 45.8968% Banker wins, 44.5707% Player wins, 9.5325% Ties, and a 0.9273% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9273%
Player EV (1:1)
-1.3261%
Rank-5 in 42-Card Stub
2/8
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 P P P P B B B B P P B B P B
Big Eye Boy = = = ≠ = ≠ = = = = = ≠ = = ≠
Small Road = ≠ = ≠ = ≠ = ≠ = ≠ = ≠ ≠
Cockroach Pig = ≠ = ≠ = = = ≠ ≠

Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP140 (2D 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

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 (DEP140)
42 / 104 Cards

60% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-5 Remaining
2 of 8 Cards

6 5-pip cards (final mandatory Player draw threshold) removed from the 2D pack.

Banker EV (EZ Bar-7)
-0.9273%

Resolved at 45.8968% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.3261%

Resolved at 44.5707% Player win rate with 0.9370 unit standard deviation.

Tie Incidence (8:1)
9.5325%

Produces a 14.2072% house hold on the 8-to-1 Tie wager in state DEP140.

FINITE-SHOE ENUMERATION · DEP140

How Five-Pip Card Depletion at 60% Depth Impacts 2D (EZ Bar-7)

Quantitative proof DEP140 documents 2D rank depletion at 60% depth: 6 exited Rank-5 cards leave 2 of 8 in the 42-card stub, generating 45.8968% Banker wins (-0.9273% EV under EZ Bar-7) and 44.5707% Player wins.

Comparing initial 104-card 2D weights against stub DEP140 (42 cards, 60% depth, 2 Rank-5 left) illustrates how because player draws on (dep140) two-card 5 and stands on (2d-60%) 6, while banker 3, 4, (dep140·2d-60%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted (-0.84 bps slope, 0.9273% EZ Bar-7 edge).

State DEP140 (2D, 60% depth, 2/8 Rank-5 left, EZ Bar-7)
Wager / MetricState DEP140 Value2D BaselineSettlement Note
DEP140 Banker (EZ Bar-7)45.8968% (-0.9273% EV)45.8998%DEP140 2D 60% (2 Rank-5)
DEP140 Player (1:1)44.5707% (-1.3261% EV)44.5676%DEP140 42-card 2D stub (0.9370 SD)
DEP140 Tie (8:1)9.5325% (-14.2072% EV)9.5326%DEP140 Rank-5 (6 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP140

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP140 · 2D)

Comparing DEP140 (60% 2D depth, 6 Rank-5 removed, 2 remaining in 42 cards) against fresh-shoe baselines shows how finite-stub variance (0.9370 SD) coexists with a 0.9273% EZ Baccarat Banker house edge.

  • DEP140 (2D 60%): 42/104 cards with 2/8 Rank-5 (5A).
  • DEP140 (Rank-5 split): 45.8968% Banker, 44.5707% Player, 9.5325% Tie in 42 2D cards (5B).
  • DEP140 (EZ Bar-7 EV): -0.9273% Banker, -1.3261% Player, -14.2072% Tie, 0.9370 SD at 60% (5C).
  • DEP140 (2D roads): red/blue marks log Big Road columns, never 2 Rank-5 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 6 Five-Pip Card cards leave a 2D shoe by 60% depth (DEP140), 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 (2/8 in 42 cards); Banker carries a -0.9273% 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