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COMBINATORIAL DEPLETION · 8D · ACE-1 · 80% DEPTH

8-Deck Ace (1-Point Pip) Depletion at 80% Penetration (Super 6 Audit DEP377)

Removing 29 of 32 Ace (1-Point Pip) (Ace-1) cards at 80% penetration of a 8-deck (416-card) shoe leaves 3 Ace-1 cards inside a 83-card stub (DEP377), producing 45.8618% Banker wins, 44.6225% Player wins, 9.5156% Ties, and a 1.4537% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4537%
Player EV (1:1)
-1.2393%
Ace-1 in 83-Card Stub
3/32
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 B P B B P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠

Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP377 (8D 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 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #2

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP377)
83 / 416 Cards

80% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Ace-1 Remaining
3 of 32 Cards

29 Ace cards valued at 1 modulo-10 point removed from the 8D pack.

Banker EV (Super 6)
-1.4537%

Resolved at 45.8618% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2393%

Resolved at 44.6225% Player win rate with 0.9378 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP377.

FINITE-SHOE ENUMERATION · DEP377

How Ace (1-Point Pip) Depletion at 80% Depth Impacts 8D (Super 6)

Shoe-stub analysis DEP377 inspects 83 remaining cards at 80% penetration of a 416-card (8D) pack after 29 Ace (1-Point Pip) cards have cleared, leaving 3 Ace-1 cards and a 1.4537% Super 6 Banker edge.

Because when fewer aces remain, (dep377-ace-1) player 7 and 8 third-card (83c) transitions from 6 and 7 (dep377-ace-1·83c) occur less often during six-card resolutions, state DEP377 (80% 8D depth, 29 Ace-1 removed, 3 in 83 cards) registers a +0.44 bps rank derivative and 1.4537% Banker house edge (Super 6).

State DEP377 (8D, 80% depth, 3/32 Ace-1 left, Super 6)
Wager / MetricState DEP377 Value8D BaselineSettlement Note
DEP377 Banker (Super 6)45.8618% (-1.4537% EV)45.8597%DEP377 8D 80% (3 Ace-1)
DEP377 Player (1:1)44.6225% (-1.2393% EV)44.6247%DEP377 83-card 8D stub (0.9378 SD)
DEP377 Tie (8:1)9.5156% (-14.3592% EV)9.5156%DEP377 Ace-1 (29 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP377

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP377 · 8D)

Scoreboard literacy in DEP377 separates two independent concepts: 8D card-removal math (3 Ace-1 left in 83 cards at 80% depth, 0.9378 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP377 (8D 80%): 83/416 cards with 3/32 Ace-1 (7A).
  • DEP377 (Ace-1 split): 45.8618% Banker, 44.6225% Player, 9.5156% Tie in 83 8D cards (7B).
  • DEP377 (Super 6 EV): -1.4537% Banker, -1.2393% Player, -14.3592% Tie, 0.9378 SD at 80% (7C).
  • DEP377 (8D roads): red/blue marks log Big Road columns, never 3 Ace-1 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 29 Ace (1-Point Pip) cards leave a 8D shoe by 80% depth (DEP377), 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 (3/32 in 83 cards); Banker carries a -1.4537% 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