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COMBINATORIAL DEPLETION · 6D · ACE-1 · 80% DEPTH

6-Deck Ace (1-Point Pip) Depletion at 80% Penetration (Super 6 Audit DEP287)

Removing 22 of 24 Ace (1-Point Pip) (Ace-1) cards at 80% penetration of a 6-deck (312-card) shoe leaves 2 Ace-1 cards inside a 62-card stub (DEP287), producing 45.8670% Banker wins, 44.5881% Player wins, 9.5449% Ties, and a 1.4141% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4141%
Player EV (1:1)
-1.2789%
Ace-1 in 62-Card Stub
2/24
Single-Hand Std Dev
0.9378
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP287 (6D Ace-1 at 80% 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 (DEP287)
62 / 312 Cards

80% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Ace-1 Remaining
2 of 24 Cards

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

Banker EV (Super 6)
-1.4141%

Resolved at 45.8670% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2789%

Resolved at 44.5881% Player win rate with 0.9378 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0955% house hold on the 8-to-1 Tie wager in state DEP287.

FINITE-SHOE ENUMERATION · DEP287

How Ace (1-Point Pip) Depletion at 80% Depth Impacts 6D (Super 6)

Card-removal benchmark DEP287 measures Ace (1-Point Pip) (Ace-1) scarcity at 80% depth in a 6-deck shoe: 22 removed ranks leave 2 in the 62-card remainder, shifting Banker win share to 45.8670% (1.4141% edge, Super 6).

When fewer Aces remain, (DEP287-Ace-1) Player 7 and 8 third-card (62c) transitions from 6 and 7 (DEP287-Ace-1·62c) occur less often during six-card resolutions. Because 22 of 24 Ace (1-Point Pip) cards are absent in DEP287 at 80% 6D penetration (62 cards left), per-card sensitivity (+0.44 bps) interacts directly with deep-shoe 80% penetration depth (DEP287) under Super 6 no-commission rules (Ace-1) (winning Banker 6 pays 1:2) (DEP287·Ace-1).

State DEP287 (6D, 80% depth, 2/24 Ace-1 left, Super 6)
Wager / MetricState DEP287 Value6D BaselineSettlement Note
DEP287 Banker (Super 6)45.8670% (-1.4141% EV)45.8648%DEP287 6D 80% (2 Ace-1)
DEP287 Player (1:1)44.5881% (-1.2789% EV)44.5903%DEP287 62-card 6D stub (0.9378 SD)
DEP287 Tie (8:1)9.5449% (-14.0955% EV)9.5449%DEP287 Ace-1 (22 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP287

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP287 · 6D)

Scoreboard literacy in DEP287 separates two independent concepts: 6D card-removal math (2 Ace-1 left in 62 cards at 80% depth, 0.9378 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP287 (6D 80%): 62/312 cards with 2/24 Ace-1 (5A).
  • DEP287 (Ace-1 split): 45.8670% Banker, 44.5881% Player, 9.5449% Tie in 62 6D cards (5B).
  • DEP287 (Super 6 EV): -1.4141% Banker, -1.2789% Player, -14.0955% Tie, 0.9378 SD at 80% (5C).
  • DEP287 (6D roads): red/blue marks log Big Road columns, never 2 Ace-1 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Ace (1-Point Pip) cards leave a 6D shoe by 80% depth (DEP287), 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 (2/24 in 62 cards); Banker carries a -1.4141% expectation under Super 6.
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