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COMBINATORIAL DEPLETION · 8D · RANK-0 · 10% DEPTH

8-Deck 0-Value Tens & Faces Depletion at 10% Penetration (5% Audit DEP361)

Removing 15 of 128 0-Value Tens & Faces (Rank-0) cards at 10% penetration of a 8-deck (416-card) shoe leaves 113 Rank-0 cards inside a 374-card stub (DEP361), producing 45.8600% Banker wins, 44.6244% Player wins, 9.5156% Ties, and a 1.0574% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0574%
Player EV (1:1)
-1.2356%
Rank-0 in 374-Card Stub
113/128
Single-Hand Std Dev
0.9305
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 DEP361 (8D Rank-0 at 10% 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 (DEP361)
374 / 416 Cards

10% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-0 Remaining
113 of 128 Cards

15 10, Jack, Queen, and King (zero-point cards) removed from the 8D pack.

Banker EV (5% Vig)
-1.0574%

Resolved at 45.8600% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2356%

Resolved at 44.6244% Player win rate with 0.9305 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3595% house hold on the 8-to-1 Tie wager in state DEP361.

FINITE-SHOE ENUMERATION · DEP361

How 0-Value Tens & Faces Depletion at 10% Depth Impacts 8D (5% Vig)

Removing 15 of 128 Rank-0 cards by the 10% mark of a 8-deck shoe (DEP361, 374 cards left) leaves 113 0-Value Tens & Faces cards and adjusts conditional probabilities to 45.8600% Banker, 44.6244% Player, and 9.5156% Tie under 5%.

For DEP361 (8-deck shoe, 10% dealt), depleting zero-point cards reduces (dep361) modulo-10 standoffs and alters two-card (8d-10%) natural combinations paired with 8s (dep361·8d-10%) and 9s. Holding 113 of 128 Rank-0 cards in a 374-card stub with +0.18 bps rank slope yields 45.8600% Banker, 44.6244% Player, and 9.5156% Tie.

State DEP361 (8D, 10% depth, 113/128 Rank-0 left, 5% Vig)
Wager / MetricState DEP361 Value8D BaselineSettlement Note
DEP361 Banker (5% Vig)45.8600% (-1.0574% EV)45.8597%DEP361 8D 10% (113 Rank-0)
DEP361 Player (1:1)44.6244% (-1.2356% EV)44.6247%DEP361 374-card 8D stub (0.9305 SD)
DEP361 Tie (8:1)9.5156% (-14.3595% EV)9.5156%DEP361 Rank-0 (15 out, 113 in)
TABLEAU & SCOREBOARD SEPARATION · DEP361

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP361 · 8D)

Cut-card protocol at 10% depth in DEP361 (8D, 374 stub cards containing 113 Rank-0 cards) ensures the shoe reshuffles long before 5% house hold (1.0574% Banker / 1.2356% Player) is overturned.

  • DEP361 (8D 10%): 374/416 cards with 113/128 Rank-0 (4A).
  • DEP361 (Rank-0 split): 45.8600% Banker, 44.6244% Player, 9.5156% Tie in 374 8D cards (4B).
  • DEP361 (5% Vig EV): -1.0574% Banker, -1.2356% Player, -14.3595% Tie, 0.9305 SD at 10% (4C).
  • DEP361 (8D roads): red/blue marks log Big Road columns, never 113 Rank-0 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 15 0-Value Tens & Faces cards leave a 8D shoe by 10% depth (DEP361), 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 (113/128 in 374 cards); Banker carries a -1.0574% expectation under 5%.
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