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COMBINATORIAL DEPLETION · 1D · RANK-0 · 25% DEPTH

1-Deck 0-Value Tens & Faces Depletion at 25% Penetration (5% Audit DEP002)

Removing 5 of 16 0-Value Tens & Faces (Rank-0) cards at 25% penetration of a 1-deck (52-card) shoe leaves 11 Rank-0 cards inside a 39-card stub (DEP002), producing 45.9604% Banker wins, 44.5240% Player wins, 9.5156% Ties, and a 0.8616% Banker house edge under 5%.

Banker EV (5% Vig)
-0.8616%
Player EV (1:1)
-1.4364%
Rank-0 in 39-Card Stub
11/16
Single-Hand Std Dev
0.9320
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 B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP002 (1D Rank-0 at 25% 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 (DEP002)
39 / 52 Cards

25% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-0 Remaining
11 of 16 Cards

5 10, Jack, Queen, and King (zero-point cards) removed from the 1D pack.

Banker EV (5% Vig)
-0.8616%

Resolved at 45.9604% Banker win rate under 5% settlement.

Player EV (1:1)
-1.4364%

Resolved at 44.5240% Player win rate with 0.9320 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP002.

FINITE-SHOE ENUMERATION · DEP002

How 0-Value Tens & Faces Depletion at 25% Depth Impacts 1D (5% Vig)

In combinatorial record DEP002, depleting 5 Rank-0 cards across 25% of a 1D (52-card) pack leaves 11 0-Value Tens & Faces cards among 39 remaining cards, setting Banker win probability to 45.9604% and house edge to 0.8616% (5% Vig).

Fewer zero-value draws mean (DEP002-Rank-0) third-card pulls change running totals (39c) more frequently instead of leaving (DEP002-Rank-0·39c) totals unchanged. Because 5 of 16 0-Value Tens & Faces cards are absent in DEP002 at 25% 1D penetration (39 cards left), per-card sensitivity (+0.18 bps) interacts directly with quarter-shoe 25% penetration depth (DEP002) under standard 5% Banker commission (Rank-0) (0.95:1 payout).

State DEP002 (1D, 25% depth, 11/16 Rank-0 left, 5% Vig)
Wager / MetricState DEP002 Value1D BaselineSettlement Note
DEP002 Banker (5% Vig)45.9604% (-0.8616% EV)45.9595%DEP002 1D 25% (11 Rank-0)
DEP002 Player (1:1)44.5240% (-1.4364% EV)44.5249%DEP002 39-card 1D stub (0.9320 SD)
DEP002 Tie (8:1)9.5156% (-14.3592% EV)9.5156%DEP002 Rank-0 (5 out, 11 in)
TABLEAU & SCOREBOARD SEPARATION · DEP002

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP002 · 1D)

In studio and floor audits of DEP002 (39 cards undealt out of 52 in 1D at 25% depth), a 0.9320 unit standard deviation accompanies the 11-card Rank-0 stub under 5% Vig (45.9604% Banker vs 44.5240% Player).

  • DEP002 (1D 25%): 39/52 cards with 11/16 Rank-0 (1A).
  • DEP002 (Rank-0 split): 45.9604% Banker, 44.5240% Player, 9.5156% Tie in 39 1D cards (1B).
  • DEP002 (5% Vig EV): -0.8616% Banker, -1.4364% Player, -14.3592% Tie, 0.9320 SD at 25% (1C).
  • DEP002 (1D roads): red/blue marks log Big Road columns, never 11 Rank-0 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 5 0-Value Tens & Faces cards leave a 1D shoe by 25% depth (DEP002), 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 (11/16 in 39 cards); Banker carries a -0.8616% expectation under 5%.
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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
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