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COMBINATORIAL DEPLETION · 2D · RANK-0 · 70% DEPTH

2-Deck 0-Value Tens & Faces Depletion at 70% Penetration (5% Audit DEP096)

Removing 26 of 32 0-Value Tens & Faces (Rank-0) cards at 70% penetration of a 2-deck (104-card) shoe leaves 6 Rank-0 cards inside a 31-card stub (DEP096), producing 45.9028% Banker wins, 44.5645% Player wins, 9.5328% Ties, and a 0.9568% Banker house edge under 5%.

Banker EV (5% Vig)
-0.9568%
Player EV (1:1)
-1.3383%
Rank-0 in 31-Card Stub
6/32
Single-Hand Std Dev
0.9365
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP096 (2D Rank-0 at 70% 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 (DEP096)
31 / 104 Cards

70% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-0 Remaining
6 of 32 Cards

26 10, Jack, Queen, and King (zero-point cards) removed from the 2D pack.

Banker EV (5% Vig)
-0.9568%

Resolved at 45.9028% Banker win rate under 5% settlement.

Player EV (1:1)
-1.3383%

Resolved at 44.5645% Player win rate with 0.9365 unit standard deviation.

Tie Incidence (8:1)
9.5328%

Produces a 14.2051% house hold on the 8-to-1 Tie wager in state DEP096.

FINITE-SHOE ENUMERATION · DEP096

How 0-Value Tens & Faces Depletion at 70% Depth Impacts 2D (5% Vig)

Exact conditional enumeration DEP096 for a 2D shoe at 70% depth (31/104 cards undealt) with 6 remaining Rank-0 cards confirms a 0.9568% Banker edge (5% Vig), 1.3383% Player edge, and 14.2051% Tie edge.

Fewer zero-value draws mean (DEP096-Rank-0) third-card pulls change running totals (31c) more frequently instead of leaving (DEP096-Rank-0·31c) totals unchanged. Because 26 of 32 0-Value Tens & Faces cards are absent in DEP096 at 70% 2D penetration (31 cards left), per-card sensitivity (+0.18 bps) interacts directly with late-shoe 70% penetration depth (DEP096) under standard 5% Banker commission (Rank-0) (0.95:1 payout).

State DEP096 (2D, 70% depth, 6/32 Rank-0 left, 5% Vig)
Wager / MetricState DEP096 Value2D BaselineSettlement Note
DEP096 Banker (5% Vig)45.9028% (-0.9568% EV)45.8998%DEP096 2D 70% (6 Rank-0)
DEP096 Player (1:1)44.5645% (-1.3383% EV)44.5676%DEP096 31-card 2D stub (0.9365 SD)
DEP096 Tie (8:1)9.5328% (-14.2051% EV)9.5326%DEP096 Rank-0 (26 out, 6 in)
TABLEAU & SCOREBOARD SEPARATION · DEP096

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP096 · 2D)

Cut-card protocol at 70% depth in DEP096 (2D, 31 stub cards containing 6 Rank-0 cards) ensures the shoe reshuffles long before 5% house hold (0.9568% Banker / 1.3383% Player) is overturned.

  • DEP096 (2D 70%): 31/104 cards with 6/32 Rank-0 (2A).
  • DEP096 (Rank-0 split): 45.9028% Banker, 44.5645% Player, 9.5328% Tie in 31 2D cards (2B).
  • DEP096 (5% Vig EV): -0.9568% Banker, -1.3383% Player, -14.2051% Tie, 0.9365 SD at 70% (2C).
  • DEP096 (2D roads): red/blue marks log Big Road columns, never 6 Rank-0 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 26 0-Value Tens & Faces cards leave a 2D shoe by 70% depth (DEP096), 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 (6/32 in 31 cards); Banker carries a -0.9568% 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