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COMBINATORIAL DEPLETION · 2D · RANK-5 · 85% DEPTH

2-Deck Five-Pip Card Depletion at 85% Penetration (EZ Baccarat Audit DEP144)

Removing 7 of 8 Five-Pip Card (Rank-5) cards at 85% penetration of a 2-deck (104-card) shoe leaves 1 Rank-5 cards inside a 16-card stub (DEP144), producing 45.8958% Banker wins, 44.5717% Player wins, 9.5325% Ties, and a 0.9293% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9293%
Player EV (1:1)
-1.3241%
Rank-5 in 16-Card Stub
1/8
Single-Hand Std Dev
0.9395
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
Big Eye Boy = = = = = = ≠ ≠ ≠ ≠ = = = =
Small Road = = = = = = ≠ = = = = =
Cockroach Pig = = = = = = ≠ = = ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP144 (2D Rank-5 at 85% 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 (DEP144)
16 / 104 Cards

85% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-5 Remaining
1 of 8 Cards

7 5-pip cards (final mandatory Player draw threshold) removed from the 2D pack.

Banker EV (EZ Bar-7)
-0.9293%

Resolved at 45.8958% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.3241%

Resolved at 44.5717% Player win rate with 0.9395 unit standard deviation.

Tie Incidence (8:1)
9.5325%

Produces a 14.2075% house hold on the 8-to-1 Tie wager in state DEP144.

FINITE-SHOE ENUMERATION · DEP144

How Five-Pip Card Depletion at 85% Depth Impacts 2D (EZ Bar-7)

Finite-shoe specification DEP144 tracks Rank-5 removal at 85% depth in 2-deck play: with 1 of 8 Five-Pip Card cards left in the 16-card stub, Tie incidence is 9.5325% and Banker expectation settles at -0.9293% (EZ Bar-7).

Tracking DEP144 across 16 remaining 2D cards (85% depth) shows that fewer 5s in the (dep144-rank-5) stub reduce banker third-card improvements (16c) from 3 to 8 and (dep144-rank-5·16c) from 4 to 9. With 7 Rank-5 cards gone (-0.84 bps unit sensitivity), Banker expectation is -0.9293% (EZ Bar-7) vs -1.3241% on Player.

State DEP144 (2D, 85% depth, 1/8 Rank-5 left, EZ Bar-7)
Wager / MetricState DEP144 Value2D BaselineSettlement Note
DEP144 Banker (EZ Bar-7)45.8958% (-0.9293% EV)45.8998%DEP144 2D 85% (1 Rank-5)
DEP144 Player (1:1)44.5717% (-1.3241% EV)44.5676%DEP144 16-card 2D stub (0.9395 SD)
DEP144 Tie (8:1)9.5325% (-14.2075% EV)9.5326%DEP144 Rank-5 (7 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP144

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP144 · 2D)

Whether DEP144 is observed in double-deck European salon privé carriers and two-deck shoe pits at 85% depth (16/104 cards left, 1 Rank-5 remaining), EZ Bar-7 settlement locks Banker EV at -0.9293% and Player EV at -1.3241% with 9.5325% Ties.

  • DEP144 (2D 85%): 16/104 cards with 1/8 Rank-5 (4A).
  • DEP144 (Rank-5 split): 45.8958% Banker, 44.5717% Player, 9.5325% Tie in 16 2D cards (4B).
  • DEP144 (EZ Bar-7 EV): -0.9293% Banker, -1.3241% Player, -14.2075% Tie, 0.9395 SD at 85% (4C).
  • DEP144 (2D roads): red/blue marks log Big Road columns, never 1 Rank-5 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 7 Five-Pip Card cards leave a 2D shoe by 85% depth (DEP144), 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 (1/8 in 16 cards); Banker carries a -0.9293% 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