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COMBINATORIAL DEPLETION · 6D · ACE-1 · 85% DEPTH

6-Deck Ace (1-Point Pip) Depletion at 85% Penetration (EZ Baccarat Audit DEP288)

Removing 23 of 24 Ace (1-Point Pip) (Ace-1) cards at 85% penetration of a 6-deck (312-card) shoe leaves 1 Ace-1 cards inside a 47-card stub (DEP288), producing 45.8671% Banker wins, 44.5879% Player wins, 9.5450% Ties, and a 0.9742% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9742%
Player EV (1:1)
-1.2792%
Ace-1 in 47-Card Stub
1/24
Single-Hand Std Dev
0.9383
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 DEP288 (6D Ace-1 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 (DEP288)
47 / 312 Cards

85% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Ace-1 Remaining
1 of 24 Cards

23 Ace cards valued at 1 modulo-10 point removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9742%

Resolved at 45.8671% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2792%

Resolved at 44.5879% Player win rate with 0.9383 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0954% house hold on the 8-to-1 Tie wager in state DEP288.

FINITE-SHOE ENUMERATION · DEP288

How Ace (1-Point Pip) Depletion at 85% Depth Impacts 6D (EZ Bar-7)

Within six-deck Mini-Baccarat and Midi-Baccarat North American floors, profile DEP288 examines 85% shoe depletion (47 of 312 cards remaining) after 23 Ace-1 cards exit, leaving 1 Ace (1-Point Pip) cards and a 0.9742% Banker house hold under EZ Baccarat.

Under the fixed third-card tableau for DEP288, removing aces slightly favors (dep288) banker because banker stands on (6d-85%) 6 against player third-card ace (dep288·6d-85%) while player must draw on 0–5. With 1 Ace-1 cards inside 47 remaining 6D cards (85% dealt), single-card slope (+0.44 bps) keeps Banker house edge at 0.9742% and Player at 1.2792%.

State DEP288 (6D, 85% depth, 1/24 Ace-1 left, EZ Bar-7)
Wager / MetricState DEP288 Value6D BaselineSettlement Note
DEP288 Banker (EZ Bar-7)45.8671% (-0.9742% EV)45.8648%DEP288 6D 85% (1 Ace-1)
DEP288 Player (1:1)44.5879% (-1.2792% EV)44.5903%DEP288 47-card 6D stub (0.9383 SD)
DEP288 Tie (8:1)9.5450% (-14.0954% EV)9.5449%DEP288 Ace-1 (23 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP288

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP288 · 6D)

Whether DEP288 is observed in six-deck Mini-Baccarat and Midi-Baccarat North American floors at 85% depth (47/312 cards left, 1 Ace-1 remaining), EZ Bar-7 settlement locks Banker EV at -0.9742% and Player EV at -1.2792% with 9.5450% Ties.

  • DEP288 (6D 85%): 47/312 cards with 1/24 Ace-1 (3A).
  • DEP288 (Ace-1 split): 45.8671% Banker, 44.5879% Player, 9.5450% Tie in 47 6D cards (3B).
  • DEP288 (EZ Bar-7 EV): -0.9742% Banker, -1.2792% Player, -14.0954% Tie, 0.9383 SD at 85% (3C).
  • DEP288 (6D roads): red/blue marks log Big Road columns, never 1 Ace-1 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 23 Ace (1-Point Pip) cards leave a 6D shoe by 85% depth (DEP288), 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 Ace-1 stub counts (1/24 in 47 cards); Banker carries a -0.9742% 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