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COMBINATORIAL DEPLETION · 6D · ACE-1 · 60% DEPTH

6-Deck Ace (1-Point Pip) Depletion at 60% Penetration (EZ Baccarat Audit DEP284)

Removing 17 of 24 Ace (1-Point Pip) (Ace-1) cards at 60% penetration of a 6-deck (312-card) shoe leaves 7 Ace-1 cards inside a 125-card stub (DEP284), producing 45.8663% Banker wins, 44.5888% Player wins, 9.5449% Ties, and a 0.9759% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9759%
Player EV (1:1)
-1.2775%
Ace-1 in 125-Card Stub
7/24
Single-Hand Std Dev
0.9358
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 DEP284 (6D Ace-1 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 (DEP284)
125 / 312 Cards

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

Ace-1 Remaining
7 of 24 Cards

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

Banker EV (EZ Bar-7)
-0.9759%

Resolved at 45.8663% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2775%

Resolved at 44.5888% Player win rate with 0.9358 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0956% house hold on the 8-to-1 Tie wager in state DEP284.

FINITE-SHOE ENUMERATION · DEP284

How Ace (1-Point Pip) Depletion at 60% Depth Impacts 6D (EZ Bar-7)

Finite-shoe specification DEP284 tracks Ace-1 removal at 60% depth in 6-deck play: with 7 of 24 Ace (1-Point Pip) cards left in the 125-card stub, Tie incidence is 9.5449% and Banker expectation settles at -0.9759% (EZ Bar-7).

Comparing initial 312-card 6D weights against stub DEP284 (125 cards, 60% depth, 7 Ace-1 left) illustrates how removing aces slightly favors (dep284) banker because banker stands on (6d-60%) 6 against player third-card ace (dep284·6d-60%) while player must draw on 0–5 (+0.44 bps slope, 0.9759% EZ Bar-7 edge).

State DEP284 (6D, 60% depth, 7/24 Ace-1 left, EZ Bar-7)
Wager / MetricState DEP284 Value6D BaselineSettlement Note
DEP284 Banker (EZ Bar-7)45.8663% (-0.9759% EV)45.8648%DEP284 6D 60% (7 Ace-1)
DEP284 Player (1:1)44.5888% (-1.2775% EV)44.5903%DEP284 125-card 6D stub (0.9358 SD)
DEP284 Tie (8:1)9.5449% (-14.0956% EV)9.5449%DEP284 Ace-1 (17 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP284

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP284 · 6D)

Even at 60% penetration in DEP284 where 17 Ace-1 cards have exited a 6D shoe (7 left in 125 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-0.9759% EV, EZ Bar-7) or Player (-1.2775% EV) is favored next.

  • DEP284 (6D 60%): 125/312 cards with 7/24 Ace-1 (4A).
  • DEP284 (Ace-1 split): 45.8663% Banker, 44.5888% Player, 9.5449% Tie in 125 6D cards (4B).
  • DEP284 (EZ Bar-7 EV): -0.9759% Banker, -1.2775% Player, -14.0956% Tie, 0.9358 SD at 60% (4C).
  • DEP284 (6D roads): red/blue marks log Big Road columns, never 7 Ace-1 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 17 Ace (1-Point Pip) cards leave a 6D shoe by 60% depth (DEP284), 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 (7/24 in 125 cards); Banker carries a -0.9759% 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