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COMBINATORIAL DEPLETION · 8D · RANK-5 · 80% DEPTH

8-Deck Five-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP413)

Removing 29 of 32 Five-Pip Card (Rank-5) cards at 80% penetration of a 8-deck (416-card) shoe leaves 3 Rank-5 cards inside a 83-card stub (DEP413), producing 45.8556% Banker wins, 44.6289% Player wins, 9.5155% Ties, and a 1.4662% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4662%
Player EV (1:1)
-1.2268%
Rank-5 in 83-Card Stub
3/32
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 P B B P P B P B B P P B P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ = ≠ = = ≠ ≠ =

Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP413 (8D 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 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 (DEP413)
83 / 416 Cards

80% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-5 Remaining
3 of 32 Cards

29 5-pip cards (final mandatory Player draw threshold) removed from the 8D pack.

Banker EV (Super 6)
-1.4662%

Resolved at 45.8556% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2268%

Resolved at 44.6289% Player win rate with 0.9390 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3605% house hold on the 8-to-1 Tie wager in state DEP413.

FINITE-SHOE ENUMERATION · DEP413

How Five-Pip Card Depletion at 80% Depth Impacts 8D (Super 6)

Card-removal benchmark DEP413 measures Five-Pip Card (Rank-5) scarcity at 80% depth in a 8-deck shoe: 29 removed ranks leave 3 in the 83-card remainder, shifting Banker win share to 45.8556% (1.4662% edge, Super 6).

Tracking DEP413 across 83 remaining 8D cards (80% depth) shows that fewer 5s in the (dep413-rank-5) stub reduce banker third-card improvements (83c) from 3 to 8 and (dep413-rank-5·83c) from 4 to 9. With 29 Rank-5 cards gone (-0.84 bps unit sensitivity), Banker expectation is -1.4662% (Super 6) vs -1.2268% on Player.

State DEP413 (8D, 80% depth, 3/32 Rank-5 left, Super 6)
Wager / MetricState DEP413 Value8D BaselineSettlement Note
DEP413 Banker (Super 6)45.8556% (-1.4662% EV)45.8597%DEP413 8D 80% (3 Rank-5)
DEP413 Player (1:1)44.6289% (-1.2268% EV)44.6247%DEP413 83-card 8D stub (0.9390 SD)
DEP413 Tie (8:1)9.5155% (-14.3605% EV)9.5156%DEP413 Rank-5 (29 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP413

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP413 · 8D)

Even at 80% penetration in DEP413 where 29 Rank-5 cards have exited a 8D shoe (3 left in 83 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.4662% EV, Super 6) or Player (-1.2268% EV) is favored next.

  • DEP413 (8D 80%): 83/416 cards with 3/32 Rank-5 (5A).
  • DEP413 (Rank-5 split): 45.8556% Banker, 44.6289% Player, 9.5155% Tie in 83 8D cards (5B).
  • DEP413 (Super 6 EV): -1.4662% Banker, -1.2268% Player, -14.3605% Tie, 0.9390 SD at 80% (5C).
  • DEP413 (8D roads): red/blue marks log Big Road columns, never 3 Rank-5 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 29 Five-Pip Card cards leave a 8D shoe by 80% depth (DEP413), 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 (3/32 in 83 cards); Banker carries a -1.4662% 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
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