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COMBINATORIAL DEPLETION · 2D · RANK-6 · 80% DEPTH

2-Deck Six-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP152)

Removing 7 of 8 Six-Pip Card (Rank-6) cards at 80% penetration of a 2-deck (104-card) shoe leaves 1 Rank-6 cards inside a 21-card stub (DEP152), producing 45.8945% Banker wins, 44.5730% Player wins, 9.5325% Ties, and a 1.3714% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3714%
Player EV (1:1)
-1.3216%
Rank-6 in 21-Card Stub
1/8
Single-Hand Std Dev
0.9393
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 P B P B B P P B B P B
Big Eye Boy = = = = ≠ = = = ≠ ≠ = = = = ≠
Small Road = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP152 (2D Rank-6 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP152)
21 / 104 Cards

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

Rank-6 Remaining
1 of 8 Cards

7 6-pip cards (standing threshold and Banker 6 trigger) removed from the 2D pack.

Banker EV (Super 6)
-1.3714%

Resolved at 45.8945% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.3216%

Resolved at 44.5730% Player win rate with 0.9393 unit standard deviation.

Tie Incidence (8:1)
9.5325%

Produces a 14.2074% house hold on the 8-to-1 Tie wager in state DEP152.

FINITE-SHOE ENUMERATION · DEP152

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

Exact conditional enumeration DEP152 for a 2D shoe at 80% depth (21/104 cards undealt) with 1 remaining Rank-6 cards confirms a 1.3714% Banker edge (Super 6), 1.3216% Player edge, and 14.2074% Tie edge.

In six-card resolution tree DEP152 (2D at 80% depth, 21 cards left), removing 6-pip cards produces (dep152-rank-6) the strongest per-card shift toward (21c) the player side and reduces (dep152-rank-6·21c) barred banker 6 incidence; removing 7 of 8 Rank-6 cards (-1.13 bps weight) leaves Banker at -1.3714% EV under Super 6.

State DEP152 (2D, 80% depth, 1/8 Rank-6 left, Super 6)
Wager / MetricState DEP152 Value2D BaselineSettlement Note
DEP152 Banker (Super 6)45.8945% (-1.3714% EV)45.8998%DEP152 2D 80% (1 Rank-6)
DEP152 Player (1:1)44.5730% (-1.3216% EV)44.5676%DEP152 21-card 2D stub (0.9393 SD)
DEP152 Tie (8:1)9.5325% (-14.2074% EV)9.5326%DEP152 Rank-6 (7 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP152

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP152 · 2D)

In studio and floor audits of DEP152 (21 cards undealt out of 104 in 2D at 80% depth), a 0.9393 unit standard deviation accompanies the 1-card Rank-6 stub under Super 6 (45.8945% Banker vs 44.5730% Player).

  • DEP152 (2D 80%): 21/104 cards with 1/8 Rank-6 (2A).
  • DEP152 (Rank-6 split): 45.8945% Banker, 44.5730% Player, 9.5325% Tie in 21 2D cards (2B).
  • DEP152 (Super 6 EV): -1.3714% Banker, -1.3216% Player, -14.2074% Tie, 0.9393 SD at 80% (2C).
  • DEP152 (2D roads): red/blue marks log Big Road columns, never 1 Rank-6 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 7 Six-Pip Card cards leave a 2D shoe by 80% depth (DEP152), 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-6 stub counts (1/8 in 21 cards); Banker carries a -1.3714% 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