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COMBINATORIAL DEPLETION · 1D · RANK-0 · 75% DEPTH

1-Deck 0-Value Tens & Faces Depletion at 75% Penetration (4% Audit DEP007)

Removing 14 of 16 0-Value Tens & Faces (Rank-0) cards at 75% penetration of a 1-deck (52-card) shoe leaves 2 Rank-0 cards inside a 13-card stub (DEP007), producing 45.9628% Banker wins, 44.5214% Player wins, 9.5158% Ties, and a 0.3972% Banker house edge under 4%.

Banker EV (4% Vig)
-0.3972%
Player EV (1:1)
-1.4413%
Rank-0 in 13-Card Stub
2/16
Single-Hand Std Dev
0.9370
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 B P B P P B B P P B P
Big Eye Boy = = = = ≠ = = = ≠ ≠ = = = = ≠
Small Road = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP007 (1D Rank-0 at 75% 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 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 (DEP007)
13 / 52 Cards

75% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-0 Remaining
2 of 16 Cards

14 10, Jack, Queen, and King (zero-point cards) removed from the 1D pack.

Banker EV (4% Vig)
-0.3972%

Resolved at 45.9628% Banker win rate under 4% settlement.

Player EV (1:1)
-1.4413%

Resolved at 44.5214% Player win rate with 0.9370 unit standard deviation.

Tie Incidence (8:1)
9.5158%

Produces a 14.3580% house hold on the 8-to-1 Tie wager in state DEP007.

FINITE-SHOE ENUMERATION · DEP007

How 0-Value Tens & Faces Depletion at 75% Depth Impacts 1D (4% Vig)

Card-removal benchmark DEP007 measures 0-Value Tens & Faces (Rank-0) scarcity at 75% depth in a 1-deck shoe: 14 removed ranks leave 2 in the 13-card remainder, shifting Banker win share to 45.9628% (0.3972% edge, 4% Vig).

For DEP007 (1-deck shoe, 75% dealt), depleting zero-point cards reduces (dep007) modulo-10 standoffs and alters two-card (1d-75%) natural combinations paired with 8s (dep007·1d-75%) and 9s. Holding 2 of 16 Rank-0 cards in a 13-card stub with +0.18 bps rank slope yields 45.9628% Banker, 44.5214% Player, and 9.5158% Tie.

State DEP007 (1D, 75% depth, 2/16 Rank-0 left, 4% Vig)
Wager / MetricState DEP007 Value1D BaselineSettlement Note
DEP007 Banker (4% Vig)45.9628% (-0.3972% EV)45.9595%DEP007 1D 75% (2 Rank-0)
DEP007 Player (1:1)44.5214% (-1.4413% EV)44.5249%DEP007 13-card 1D stub (0.9370 SD)
DEP007 Tie (8:1)9.5158% (-14.3580% EV)9.5156%DEP007 Rank-0 (14 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP007

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP007 · 1D)

Scoreboard literacy in DEP007 separates two independent concepts: 1D card-removal math (2 Rank-0 left in 13 cards at 75% depth, 0.9370 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP007 (1D 75%): 13/52 cards with 2/16 Rank-0 (5A).
  • DEP007 (Rank-0 split): 45.9628% Banker, 44.5214% Player, 9.5158% Tie in 13 1D cards (5B).
  • DEP007 (4% Vig EV): -0.3972% Banker, -1.4413% Player, -14.3580% Tie, 0.9370 SD at 75% (5C).
  • DEP007 (1D roads): red/blue marks log Big Road columns, never 2 Rank-0 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 14 0-Value Tens & Faces cards leave a 1D shoe by 75% depth (DEP007), 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 (2/16 in 13 cards); Banker carries a -0.3972% 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