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COMBINATORIAL DEPLETION · 1D · RANK-8 · 50% DEPTH

1-Deck Eight-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP076)

Removing 2 of 4 Eight-Pip Card (Rank-8) cards at 50% penetration of a 1-deck (52-card) shoe leaves 2 Rank-8 cards inside a 26-card stub (DEP076), producing 45.9584% Banker wins, 44.5261% Player wins, 9.5156% Ties, and a 1.2607% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2607%
Player EV (1:1)
-1.4323%
Rank-8 in 26-Card Stub
2/4
Single-Hand Std Dev
0.9369
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 DEP076 (1D Rank-8 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

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 (DEP076)
26 / 52 Cards

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

Rank-8 Remaining
2 of 4 Cards

2 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 1D pack.

Banker EV (Super 6)
-1.2607%

Resolved at 45.9584% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4323%

Resolved at 44.5261% Player win rate with 0.9369 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP076.

FINITE-SHOE ENUMERATION · DEP076

How Eight-Pip Card Depletion at 50% Depth Impacts 1D (Super 6)

Under Super 6 settlement (Super 6), combinatorial state DEP076 models a 1D carrier with 26 cards left (50% dealt) and 2/4 Eight-Pip Card cards remaining, producing a 1.2607% Banker edge versus 1.4323% on Player.

For DEP076 (1-deck shoe, 50% dealt), on banker total 3, (dep076) banker draws against every player (1d-50%) third card except 8; removing (dep076·1d-50%) 8s eliminates banker 3's sole standing exception. Holding 2 of 4 Rank-8 cards in a 26-card stub with -0.50 bps rank slope yields 45.9584% Banker, 44.5261% Player, and 9.5156% Tie.

State DEP076 (1D, 50% depth, 2/4 Rank-8 left, Super 6)
Wager / MetricState DEP076 Value1D BaselineSettlement Note
DEP076 Banker (Super 6)45.9584% (-1.2607% EV)45.9595%DEP076 1D 50% (2 Rank-8)
DEP076 Player (1:1)44.5261% (-1.4323% EV)44.5249%DEP076 26-card 1D stub (0.9369 SD)
DEP076 Tie (8:1)9.5156% (-14.3600% EV)9.5156%DEP076 Rank-8 (2 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP076

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP076 · 1D)

On the electronic scoreboard for DEP076 (1D, 50% depth, 26 cards left), Bead Plate and Big Road circles record Banker (45.9584%) and Player (44.5261%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-8 card counts (2/4).

  • DEP076 (1D 50%): 26/52 cards with 2/4 Rank-8 (7A).
  • DEP076 (Rank-8 split): 45.9584% Banker, 44.5261% Player, 9.5156% Tie in 26 1D cards (7B).
  • DEP076 (Super 6 EV): -1.2607% Banker, -1.4323% Player, -14.3600% Tie, 0.9369 SD at 50% (7C).
  • DEP076 (1D roads): red/blue marks log Big Road columns, never 2 Rank-8 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 2 Eight-Pip Card cards leave a 1D shoe by 50% depth (DEP076), 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-8 stub counts (2/4 in 26 cards); Banker carries a -1.2607% 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