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COMBINATORIAL DEPLETION · 4D · RANK-2 · 80% DEPTH

4-Deck Two-Pip (Deuce) Depletion at 80% Penetration (Super 6 Audit DEP206)

Removing 15 of 16 Two-Pip (Deuce) (Rank-2) cards at 80% penetration of a 4-deck (208-card) shoe leaves 1 Rank-2 cards inside a 42-card stub (DEP206), producing 45.8758% Banker wins, 44.5823% Player wins, 9.5419% Ties, and a 1.3995% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3995%
Player EV (1:1)
-1.2935%
Rank-2 in 42-Card Stub
1/16
Single-Hand Std Dev
0.9381
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 DEP206 (4D Rank-2 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

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 (DEP206)
42 / 208 Cards

80% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).

Rank-2 Remaining
1 of 16 Cards

15 2-pip cards across all four suits removed from the 4D pack.

Banker EV (Super 6)
-1.3995%

Resolved at 45.8758% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2935%

Resolved at 44.5823% Player win rate with 0.9381 unit standard deviation.

Tie Incidence (8:1)
9.5419%

Produces a 14.1229% house hold on the 8-to-1 Tie wager in state DEP206.

FINITE-SHOE ENUMERATION · DEP206

How Two-Pip (Deuce) Depletion at 80% Depth Impacts 4D (Super 6)

Depletion matrix entry DEP206 pairs 4D (208 cards) at 80% penetration with 15 removed Two-Pip (Deuce) cards (1 left in 42 cards), fixing per-hand volatility at 0.9381 and Banker house hold at 1.3995% (Super 6).

On Banker total 4, (DEP206) Banker draws against Player third-card (4D-80%) 2 through 7; removing 2s (DEP206·4D-80%) trims low-pip Player third-card triggers. In state DEP206 (4D, 80% depth), each removed Rank-2 card applies a +0.52 bps baseline directional pressure before scaling to the 42-card remainder (1 Rank-2 left), while Only 20% of the (DEP206-4D) initial shoe remains undealt while (1/16) winning Banker 6 hands forfeit (DEP206-4D·1/16) half their payout.

State DEP206 (4D, 80% depth, 1/16 Rank-2 left, Super 6)
Wager / MetricState DEP206 Value4D BaselineSettlement Note
DEP206 Banker (Super 6)45.8758% (-1.3995% EV)45.8732%DEP206 4D 80% (1 Rank-2)
DEP206 Player (1:1)44.5823% (-1.2935% EV)44.5850%DEP206 42-card 4D stub (0.9381 SD)
DEP206 Tie (8:1)9.5419% (-14.1229% EV)9.5418%DEP206 Rank-2 (15 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP206

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP206 · 4D)

In studio and floor audits of DEP206 (42 cards undealt out of 208 in 4D at 80% depth), a 0.9381 unit standard deviation accompanies the 1-card Rank-2 stub under Super 6 (45.8758% Banker vs 44.5823% Player).

  • DEP206 (4D 80%): 42/208 cards with 1/16 Rank-2 (6A).
  • DEP206 (Rank-2 split): 45.8758% Banker, 44.5823% Player, 9.5419% Tie in 42 4D cards (6B).
  • DEP206 (Super 6 EV): -1.3995% Banker, -1.2935% Player, -14.1229% Tie, 0.9381 SD at 80% (6C).
  • DEP206 (4D roads): red/blue marks log Big Road columns, never 1 Rank-2 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 15 Two-Pip (Deuce) cards leave a 4D shoe by 80% depth (DEP206), 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-2 stub counts (1/16 in 42 cards); Banker carries a -1.3995% 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