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COMBINATORIAL DEPLETION · 1D · RANK-0 · 50% DEPTH

1-Deck 0-Value Tens & Faces Depletion at 50% Penetration (Super 6 Audit DEP004)

Removing 9 of 16 0-Value Tens & Faces (Rank-0) cards at 50% penetration of a 1-deck (52-card) shoe leaves 7 Rank-0 cards inside a 26-card stub (DEP004), producing 45.9613% Banker wins, 44.5230% Player wins, 9.5157% Ties, and a 1.2546% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2546%
Player EV (1:1)
-1.4384%
Rank-0 in 26-Card Stub
7/16
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 B P P B B P B P B P P
Big Eye Boy = = ≠ = = = ≠ ≠ = = ≠ = = = ≠
Small Road ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠

Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP004 (1D 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

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 (DEP004)
26 / 52 Cards

50% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-0 Remaining
7 of 16 Cards

9 10, Jack, Queen, and King (zero-point cards) removed from the 1D pack.

Banker EV (Super 6)
-1.2546%

Resolved at 45.9613% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4384%

Resolved at 44.5230% Player win rate with 0.9345 unit standard deviation.

Tie Incidence (8:1)
9.5157%

Produces a 14.3587% house hold on the 8-to-1 Tie wager in state DEP004.

FINITE-SHOE ENUMERATION · DEP004

How 0-Value Tens & Faces Depletion at 50% Depth Impacts 1D (Super 6)

Finite-shoe specification DEP004 tracks Rank-0 removal at 50% depth in 1-deck play: with 7 of 16 0-Value Tens & Faces cards left in the 26-card stub, Tie incidence is 9.5157% and Banker expectation settles at -1.2546% (Super 6).

In 1D audit DEP004 (26/52 stub at 50% depth), fewer zero-value draws mean (dep004-rank-0) third-card pulls change running totals (26c) more frequently instead of leaving (dep004-rank-0·26c) totals unchanged. Removing 9 Rank-0 cards (+0.18 bps per card) alongside Super 6 rules sets Tie hold to 14.3587% (9.5157% frequency).

State DEP004 (1D, 50% depth, 7/16 Rank-0 left, Super 6)
Wager / MetricState DEP004 Value1D BaselineSettlement Note
DEP004 Banker (Super 6)45.9613% (-1.2546% EV)45.9595%DEP004 1D 50% (7 Rank-0)
DEP004 Player (1:1)44.5230% (-1.4384% EV)44.5249%DEP004 26-card 1D stub (0.9345 SD)
DEP004 Tie (8:1)9.5157% (-14.3587% EV)9.5156%DEP004 Rank-0 (9 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP004

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP004 · 1D)

Even at 50% penetration in DEP004 where 9 Rank-0 cards have exited a 1D shoe (7 left in 26 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.2546% EV, Super 6) or Player (-1.4384% EV) is favored next.

  • DEP004 (1D 50%): 26/52 cards with 7/16 Rank-0 (4A).
  • DEP004 (Rank-0 split): 45.9613% Banker, 44.5230% Player, 9.5157% Tie in 26 1D cards (4B).
  • DEP004 (Super 6 EV): -1.2546% Banker, -1.4384% Player, -14.3587% Tie, 0.9345 SD at 50% (4C).
  • DEP004 (1D roads): red/blue marks log Big Road columns, never 7 Rank-0 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 9 0-Value Tens & Faces cards leave a 1D shoe by 50% depth (DEP004), 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 (7/16 in 26 cards); Banker carries a -1.2546% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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