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COMBINATORIAL DEPLETION · 8D · RANK-0 · 25% DEPTH

8-Deck 0-Value Tens & Faces Depletion at 25% Penetration (5% Audit DEP362)

Removing 37 of 128 0-Value Tens & Faces (Rank-0) cards at 25% penetration of a 8-deck (416-card) shoe leaves 91 Rank-0 cards inside a 312-card stub (DEP362), producing 45.8605% Banker wins, 44.6239% Player wins, 9.5156% Ties, and a 1.0564% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0564%
Player EV (1:1)
-1.2367%
Rank-0 in 312-Card Stub
91/128
Single-Hand Std Dev
0.9320
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP362 (8D Rank-0 at 25% 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 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

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 (DEP362)
312 / 416 Cards

25% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-0 Remaining
91 of 128 Cards

37 10, Jack, Queen, and King (zero-point cards) removed from the 8D pack.

Banker EV (5% Vig)
-1.0564%

Resolved at 45.8605% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2367%

Resolved at 44.6239% Player win rate with 0.9320 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP362.

FINITE-SHOE ENUMERATION · DEP362

How 0-Value Tens & Faces Depletion at 25% Depth Impacts 8D (5% Vig)

Exact conditional enumeration DEP362 for a 8D shoe at 25% depth (312/416 cards undealt) with 91 remaining Rank-0 cards confirms a 1.0564% Banker edge (5% Vig), 1.2367% Player edge, and 14.3592% Tie edge.

Mechanical draw trees in DEP362 reflect how fewer zero-value draws mean (dep362-rank-0) third-card pulls change running totals (312c) more frequently instead of leaving (dep362-rank-0·312c) totals unchanged. At 25% 8D depth (91 Rank-0 left of 128 in 312 cards, +0.18 bps slope), one-quarter of the shoe (dep362-8d) has exited the carrier and (91/128) winning banker wagers pay 0.95 (dep362-8d·91/128) to 1 after 5% house tax.

State DEP362 (8D, 25% depth, 91/128 Rank-0 left, 5% Vig)
Wager / MetricState DEP362 Value8D BaselineSettlement Note
DEP362 Banker (5% Vig)45.8605% (-1.0564% EV)45.8597%DEP362 8D 25% (91 Rank-0)
DEP362 Player (1:1)44.6239% (-1.2367% EV)44.6247%DEP362 312-card 8D stub (0.9320 SD)
DEP362 Tie (8:1)9.5156% (-14.3592% EV)9.5156%DEP362 Rank-0 (37 out, 91 in)
TABLEAU & SCOREBOARD SEPARATION · DEP362

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP362 · 8D)

Scoreboard literacy in DEP362 separates two independent concepts: 8D card-removal math (91 Rank-0 left in 312 cards at 25% depth, 0.9320 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP362 (8D 25%): 312/416 cards with 91/128 Rank-0 (2A).
  • DEP362 (Rank-0 split): 45.8605% Banker, 44.6239% Player, 9.5156% Tie in 312 8D cards (2B).
  • DEP362 (5% Vig EV): -1.0564% Banker, -1.2367% Player, -14.3592% Tie, 0.9320 SD at 25% (2C).
  • DEP362 (8D roads): red/blue marks log Big Road columns, never 91 Rank-0 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 37 0-Value Tens & Faces cards leave a 8D shoe by 25% depth (DEP362), 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 (91/128 in 312 cards); Banker carries a -1.0564% 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