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COMBINATORIAL DEPLETION · 2D · RANK-5 · 80% DEPTH

2-Deck Five-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP143)

Removing 7 of 8 Five-Pip Card (Rank-5) cards at 80% penetration of a 2-deck (104-card) shoe leaves 1 Rank-5 cards inside a 21-card stub (DEP143), producing 45.8959% Banker wins, 44.5716% Player wins, 9.5325% Ties, and a 1.3687% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3687%
Player EV (1:1)
-1.3243%
Rank-5 in 21-Card Stub
1/8
Single-Hand Std Dev
0.9390
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP143 (2D Rank-5 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 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 (DEP143)
21 / 104 Cards

80% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-5 Remaining
1 of 8 Cards

7 5-pip cards (final mandatory Player draw threshold) removed from the 2D pack.

Banker EV (Super 6)
-1.3687%

Resolved at 45.8959% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.3243%

Resolved at 44.5716% Player win rate with 0.9390 unit standard deviation.

Tie Incidence (8:1)
9.5325%

Produces a 14.2074% house hold on the 8-to-1 Tie wager in state DEP143.

FINITE-SHOE ENUMERATION · DEP143

How Five-Pip Card Depletion at 80% Depth Impacts 2D (Super 6)

When a 2D shoe reaches 80% cut-card depth (21 of 104 cards undealt, state DEP143) with 7 Five-Pip Card cards removed and 1 remaining, Player wins 44.5716% (1.3243% edge) while Banker wins 45.8959% (1.3687% edge under Super 6).

Why does Rank-5 carry a -0.84 bps per-card effect in DEP143? Because Player draws on (DEP143) two-card 5 and stands on (2D-80%) 6, while Banker 3, 4, (DEP143·2D-80%) and 5 all draw against a Player third-card 5, rank 5 favors Player when depleted, and at 80% penetration (1 Five-Pip Card cards left in 21 2D cards), only 20% of the (dep143-2d) initial shoe remains undealt while (1/8) winning banker 6 hands forfeit (dep143-2d·1/8) half their payout.

State DEP143 (2D, 80% depth, 1/8 Rank-5 left, Super 6)
Wager / MetricState DEP143 Value2D BaselineSettlement Note
DEP143 Banker (Super 6)45.8959% (-1.3687% EV)45.8998%DEP143 2D 80% (1 Rank-5)
DEP143 Player (1:1)44.5716% (-1.3243% EV)44.5676%DEP143 21-card 2D stub (0.9390 SD)
DEP143 Tie (8:1)9.5325% (-14.2074% EV)9.5326%DEP143 Rank-5 (7 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP143

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP143 · 2D)

Scoreboard literacy in DEP143 separates two independent concepts: 2D card-removal math (1 Rank-5 left in 21 cards at 80% depth, 0.9390 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP143 (2D 80%): 21/104 cards with 1/8 Rank-5 (6A).
  • DEP143 (Rank-5 split): 45.8959% Banker, 44.5716% Player, 9.5325% Tie in 21 2D cards (6B).
  • DEP143 (Super 6 EV): -1.3687% Banker, -1.3243% Player, -14.2074% Tie, 0.9390 SD at 80% (6C).
  • DEP143 (2D roads): red/blue marks log Big Road columns, never 1 Rank-5 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 7 Five-Pip Card cards leave a 2D shoe by 80% depth (DEP143), 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-5 stub counts (1/8 in 21 cards); Banker carries a -1.3687% expectation under Super 6.
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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