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COMBINATORIAL DEPLETION · 8D · RANK-0 · 40% DEPTH

8-Deck 0-Value Tens & Faces Depletion at 40% Penetration (4% Audit DEP363)

Removing 59 of 128 0-Value Tens & Faces (Rank-0) cards at 40% penetration of a 8-deck (416-card) shoe leaves 69 Rank-0 cards inside a 250-card stub (DEP363), producing 45.8611% Banker wins, 44.6232% Player wins, 9.5157% Ties, and a 0.5965% Banker house edge under 4%.

Banker EV (4% Vig)
-0.5965%
Player EV (1:1)
-1.2379%
Rank-0 in 250-Card Stub
69/128
Single-Hand Std Dev
0.9335
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBBBPPPPBBPPBP) illustrating derived-road symmetry checks alongside DEP363 (8D Rank-0 at 40% 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 (DEP363)
250 / 416 Cards

40% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-0 Remaining
69 of 128 Cards

59 10, Jack, Queen, and King (zero-point cards) removed from the 8D pack.

Banker EV (4% Vig)
-0.5965%

Resolved at 45.8611% Banker win rate under 4% settlement.

Player EV (1:1)
-1.2379%

Resolved at 44.6232% Player win rate with 0.9335 unit standard deviation.

Tie Incidence (8:1)
9.5157%

Produces a 14.3589% house hold on the 8-to-1 Tie wager in state DEP363.

FINITE-SHOE ENUMERATION · DEP363

How 0-Value Tens & Faces Depletion at 40% Depth Impacts 8D (4% Vig)

Shoe-stub analysis DEP363 inspects 250 remaining cards at 40% penetration of a 416-card (8D) pack after 59 0-Value Tens & Faces cards have cleared, leaving 69 Rank-0 cards and a 0.5965% 4% Banker edge.

Combinatorial weighting in DEP363 (250 cards left from 416 at 40% depth) is governed by two rules: depleting zero-point cards reduces (dep363) modulo-10 standoffs and alters two-card (8d-40%) natural combinations paired with 8s (dep363·8d-40%) and 9s, and winning banker wagers collect (dep363-8d) 0.96 units per unit staked (69/128) with 60% of the shoe (dep363-8d·69/128) still inside the acrylic carrier (+0.18 bps per Rank-0 removed).

State DEP363 (8D, 40% depth, 69/128 Rank-0 left, 4% Vig)
Wager / MetricState DEP363 Value8D BaselineSettlement Note
DEP363 Banker (4% Vig)45.8611% (-0.5965% EV)45.8597%DEP363 8D 40% (69 Rank-0)
DEP363 Player (1:1)44.6232% (-1.2379% EV)44.6247%DEP363 250-card 8D stub (0.9335 SD)
DEP363 Tie (8:1)9.5157% (-14.3589% EV)9.5156%DEP363 Rank-0 (59 out, 69 in)
TABLEAU & SCOREBOARD SEPARATION · DEP363

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP363 · 8D)

Whether DEP363 is observed in eight-deck Macau, Las Vegas Strip, and Singapore standard shoes at 40% depth (250/416 cards left, 69 Rank-0 remaining), 4% Vig settlement locks Banker EV at -0.5965% and Player EV at -1.2379% with 9.5157% Ties.

  • DEP363 (8D 40%): 250/416 cards with 69/128 Rank-0 (7A).
  • DEP363 (Rank-0 split): 45.8611% Banker, 44.6232% Player, 9.5157% Tie in 250 8D cards (7B).
  • DEP363 (4% Vig EV): -0.5965% Banker, -1.2379% Player, -14.3589% Tie, 0.9335 SD at 40% (7C).
  • DEP363 (8D roads): red/blue marks log Big Road columns, never 69 Rank-0 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 59 0-Value Tens & Faces cards leave a 8D shoe by 40% depth (DEP363), 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-0 stub counts (69/128 in 250 cards); Banker carries a -0.5965% expectation under 4%.
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