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COMBINATORIAL DEPLETION · 2D · RANK-0 · 75% DEPTH

2-Deck 0-Value Tens & Faces Depletion at 75% Penetration (4% Audit DEP097)

Removing 28 of 32 0-Value Tens & Faces (Rank-0) cards at 75% penetration of a 2-deck (104-card) shoe leaves 4 Rank-0 cards inside a 26-card stub (DEP097), producing 45.9031% Banker wins, 44.5641% Player wins, 9.5328% Ties, and a 0.4972% Banker house edge under 4%.

Banker EV (4% Vig)
-0.4972%
Player EV (1:1)
-1.3389%
Rank-0 in 26-Card Stub
4/32
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 P B B P B B P B P
Big Eye Boy = = = = = = ≠ = = = ≠ ≠ ≠ =
Small Road = = = = ≠ ≠ = = ≠ ≠ = ≠
Cockroach Pig = = ≠ ≠ ≠ = ≠ ≠ = =

Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP097 (2D 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 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 (DEP097)
26 / 104 Cards

75% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-0 Remaining
4 of 32 Cards

28 10, Jack, Queen, and King (zero-point cards) removed from the 2D pack.

Banker EV (4% Vig)
-0.4972%

Resolved at 45.9031% Banker win rate under 4% settlement.

Player EV (1:1)
-1.3389%

Resolved at 44.5641% Player win rate with 0.9370 unit standard deviation.

Tie Incidence (8:1)
9.5328%

Produces a 14.2050% house hold on the 8-to-1 Tie wager in state DEP097.

FINITE-SHOE ENUMERATION · DEP097

How 0-Value Tens & Faces Depletion at 75% Depth Impacts 2D (4% Vig)

Shoe-stub analysis DEP097 inspects 26 remaining cards at 75% penetration of a 104-card (2D) pack after 28 0-Value Tens & Faces cards have cleared, leaving 4 Rank-0 cards and a 0.4972% 4% Banker edge.

Under the fixed third-card tableau for DEP097, depleting zero-point cards reduces (dep097) modulo-10 standoffs and alters two-card (2d-75%) natural combinations paired with 8s (dep097·2d-75%) and 9s. With 4 Rank-0 cards inside 26 remaining 2D cards (75% dealt), single-card slope (+0.18 bps) keeps Banker house edge at 0.4972% and Player at 1.3389%.

State DEP097 (2D, 75% depth, 4/32 Rank-0 left, 4% Vig)
Wager / MetricState DEP097 Value2D BaselineSettlement Note
DEP097 Banker (4% Vig)45.9031% (-0.4972% EV)45.8998%DEP097 2D 75% (4 Rank-0)
DEP097 Player (1:1)44.5641% (-1.3389% EV)44.5676%DEP097 26-card 2D stub (0.9370 SD)
DEP097 Tie (8:1)9.5328% (-14.2050% EV)9.5326%DEP097 Rank-0 (28 out, 4 in)
TABLEAU & SCOREBOARD SEPARATION · DEP097

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP097 · 2D)

Scoreboard literacy in DEP097 separates two independent concepts: 2D card-removal math (4 Rank-0 left in 26 cards at 75% depth, 0.9370 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP097 (2D 75%): 26/104 cards with 4/32 Rank-0 (7A).
  • DEP097 (Rank-0 split): 45.9031% Banker, 44.5641% Player, 9.5328% Tie in 26 2D cards (7B).
  • DEP097 (4% Vig EV): -0.4972% Banker, -1.3389% Player, -14.2050% Tie, 0.9370 SD at 75% (7C).
  • DEP097 (2D roads): red/blue marks log Big Road columns, never 4 Rank-0 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 28 0-Value Tens & Faces cards leave a 2D shoe by 75% depth (DEP097), 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 (4/32 in 26 cards); Banker carries a -0.4972% 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