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COMBINATORIAL DEPLETION · 2D · RANK-0 · 50% DEPTH

2-Deck 0-Value Tens & Faces Depletion at 50% Penetration (Super 6 Audit DEP094)

Removing 18 of 32 0-Value Tens & Faces (Rank-0) cards at 50% penetration of a 2-deck (104-card) shoe leaves 14 Rank-0 cards inside a 52-card stub (DEP094), producing 45.9016% Banker wins, 44.5657% Player wins, 9.5327% Ties, and a 1.3570% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3570%
Player EV (1:1)
-1.3360%
Rank-0 in 52-Card Stub
14/32
Single-Hand Std Dev
0.9345
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 P B B P B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ = ≠ = = ≠ ≠ =

Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP094 (2D Rank-0 at 50% 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP094)
52 / 104 Cards

50% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-0 Remaining
14 of 32 Cards

18 10, Jack, Queen, and King (zero-point cards) removed from the 2D pack.

Banker EV (Super 6)
-1.3570%

Resolved at 45.9016% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.3360%

Resolved at 44.5657% Player win rate with 0.9345 unit standard deviation.

Tie Incidence (8:1)
9.5327%

Produces a 14.2057% house hold on the 8-to-1 Tie wager in state DEP094.

FINITE-SHOE ENUMERATION · DEP094

How 0-Value Tens & Faces Depletion at 50% Depth Impacts 2D (Super 6)

Depletion matrix entry DEP094 pairs 2D (104 cards) at 50% penetration with 18 removed 0-Value Tens & Faces cards (14 left in 52 cards), fixing per-hand volatility at 0.9345 and Banker house hold at 1.3570% (Super 6).

In six-card resolution tree DEP094 (2D at 50% depth, 52 cards left), fewer zero-value draws mean (dep094-rank-0) third-card pulls change running totals (52c) more frequently instead of leaving (dep094-rank-0·52c) totals unchanged; removing 18 of 32 Rank-0 cards (+0.18 bps weight) leaves Banker at -1.3570% EV under Super 6.

State DEP094 (2D, 50% depth, 14/32 Rank-0 left, Super 6)
Wager / MetricState DEP094 Value2D BaselineSettlement Note
DEP094 Banker (Super 6)45.9016% (-1.3570% EV)45.8998%DEP094 2D 50% (14 Rank-0)
DEP094 Player (1:1)44.5657% (-1.3360% EV)44.5676%DEP094 52-card 2D stub (0.9345 SD)
DEP094 Tie (8:1)9.5327% (-14.2057% EV)9.5326%DEP094 Rank-0 (18 out, 14 in)
TABLEAU & SCOREBOARD SEPARATION · DEP094

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP094 · 2D)

Even at 50% penetration in DEP094 where 18 Rank-0 cards have exited a 2D shoe (14 left in 52 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.3570% EV, Super 6) or Player (-1.3360% EV) is favored next.

  • DEP094 (2D 50%): 52/104 cards with 14/32 Rank-0 (6A).
  • DEP094 (Rank-0 split): 45.9016% Banker, 44.5657% Player, 9.5327% Tie in 52 2D cards (6B).
  • DEP094 (Super 6 EV): -1.3570% Banker, -1.3360% Player, -14.2057% Tie, 0.9345 SD at 50% (6C).
  • DEP094 (2D roads): red/blue marks log Big Road columns, never 14 Rank-0 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 18 0-Value Tens & Faces cards leave a 2D shoe by 50% depth (DEP094), 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 (14/32 in 52 cards); Banker carries a -1.3570% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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  • 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