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COMBINATORIAL DEPLETION · 1D · RANK-4 · 80% DEPTH

1-Deck Four-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP044)

Removing 3 of 4 Four-Pip Card (Rank-4) cards at 80% penetration of a 1-deck (52-card) shoe leaves 1 Rank-4 cards inside a 10-card stub (DEP044), producing 45.9643% Banker wins, 44.5201% Player wins, 9.5157% Ties, and a 1.2488% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2488%
Player EV (1:1)
-1.4442%
Rank-4 in 10-Card Stub
1/4
Single-Hand Std Dev
0.9387
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP044 (1D Rank-4 at 80% 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP044)
10 / 52 Cards

80% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-4 Remaining
1 of 4 Cards

3 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 1D pack.

Banker EV (Super 6)
-1.2488%

Resolved at 45.9643% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4442%

Resolved at 44.5201% Player win rate with 0.9387 unit standard deviation.

Tie Incidence (8:1)
9.5157%

Produces a 14.3589% house hold on the 8-to-1 Tie wager in state DEP044.

FINITE-SHOE ENUMERATION · DEP044

How Four-Pip Card Depletion at 80% Depth Impacts 1D (Super 6)

In combinatorial record DEP044, depleting 3 Rank-4 cards across 80% of a 1D (52-card) pack leaves 1 Four-Pip Card cards among 10 remaining cards, setting Banker win probability to 45.9643% and house edge to 1.2488% (Super 6).

Tableau audit DEP044 confirms that rank 4 sits at (dep044) the exact pivot where banker (1d-80%) 5 begins drawing (player third (dep044·1d-80%) card 4–7) while banker 3 and 4 also draw. Inside the 10-card 1D stub (80% depth, 1/4 Rank-4 remaining, +1.19 bps slope), standard deviation is 0.9387 under Super 6.

State DEP044 (1D, 80% depth, 1/4 Rank-4 left, Super 6)
Wager / MetricState DEP044 Value1D BaselineSettlement Note
DEP044 Banker (Super 6)45.9643% (-1.2488% EV)45.9595%DEP044 1D 80% (1 Rank-4)
DEP044 Player (1:1)44.5201% (-1.4442% EV)44.5249%DEP044 10-card 1D stub (0.9387 SD)
DEP044 Tie (8:1)9.5157% (-14.3589% EV)9.5156%DEP044 Rank-4 (3 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP044

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP044 · 1D)

Learners auditing DEP044 (1D at 80% depth, 1/4 Rank-4 in 10 stub cards) can verify that Super 6 house hold (1.2488% Banker, 1.4442% Player, 14.3589% Tie) operates independently of prior Big Road streaks.

  • DEP044 (1D 80%): 10/52 cards with 1/4 Rank-4 (1A).
  • DEP044 (Rank-4 split): 45.9643% Banker, 44.5201% Player, 9.5157% Tie in 10 1D cards (1B).
  • DEP044 (Super 6 EV): -1.2488% Banker, -1.4442% Player, -14.3589% Tie, 0.9387 SD at 80% (1C).
  • DEP044 (1D roads): red/blue marks log Big Road columns, never 1 Rank-4 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Four-Pip Card cards leave a 1D shoe by 80% depth (DEP044), 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-4 stub counts (1/4 in 10 cards); Banker carries a -1.2488% expectation under Super 6.
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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