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COMBINATORIAL DEPLETION · 8D · RANK-5 · 50% DEPTH

8-Deck Five-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP409)

Removing 18 of 32 Five-Pip Card (Rank-5) cards at 50% penetration of a 8-deck (416-card) shoe leaves 14 Rank-5 cards inside a 208-card stub (DEP409), producing 45.8576% Banker wins, 44.6269% Player wins, 9.5155% Ties, and a 1.4623% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4623%
Player EV (1:1)
-1.2307%
Rank-5 in 208-Card Stub
14/32
Single-Hand Std Dev
0.9360
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 B P B B P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠

Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP409 (8D Rank-5 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

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

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 (DEP409)
208 / 416 Cards

50% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-5 Remaining
14 of 32 Cards

18 5-pip cards (final mandatory Player draw threshold) removed from the 8D pack.

Banker EV (Super 6)
-1.4623%

Resolved at 45.8576% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2307%

Resolved at 44.6269% Player win rate with 0.9360 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3601% house hold on the 8-to-1 Tie wager in state DEP409.

FINITE-SHOE ENUMERATION · DEP409

How Five-Pip Card Depletion at 50% Depth Impacts 8D (Super 6)

When a 8D shoe reaches 50% cut-card depth (208 of 416 cards undealt, state DEP409) with 18 Five-Pip Card cards removed and 14 remaining, Player wins 44.6269% (1.2307% edge) while Banker wins 45.8576% (1.4623% edge under Super 6).

Fewer 5s in the (DEP409-Rank-5) stub reduce Banker third-card improvements (208c) from 3 to 8 and (DEP409-Rank-5·208c) from 4 to 9. Because 18 of 32 Five-Pip Card cards are absent in DEP409 at 50% 8D penetration (208 cards left), per-card sensitivity (-0.84 bps) interacts directly with mid-shoe 50% penetration depth (DEP409) under Super 6 no-commission rules (Rank-5) (winning Banker 6 pays 0.50:1) (DEP409·Rank-5).

State DEP409 (8D, 50% depth, 14/32 Rank-5 left, Super 6)
Wager / MetricState DEP409 Value8D BaselineSettlement Note
DEP409 Banker (Super 6)45.8576% (-1.4623% EV)45.8597%DEP409 8D 50% (14 Rank-5)
DEP409 Player (1:1)44.6269% (-1.2307% EV)44.6247%DEP409 208-card 8D stub (0.9360 SD)
DEP409 Tie (8:1)9.5155% (-14.3601% EV)9.5156%DEP409 Rank-5 (18 out, 14 in)
TABLEAU & SCOREBOARD SEPARATION · DEP409

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP409 · 8D)

Across 100-hand session horizons at state DEP409 (8D 50% depth, 14/32 Rank-5 in 208 cards), single-hand dispersion (0.9360 SD) dominates the 1.4623% (Super 6) Banker and 1.2307% Player expectation gap.

  • DEP409 (8D 50%): 208/416 cards with 14/32 Rank-5 (6A).
  • DEP409 (Rank-5 split): 45.8576% Banker, 44.6269% Player, 9.5155% Tie in 208 8D cards (6B).
  • DEP409 (Super 6 EV): -1.4623% Banker, -1.2307% Player, -14.3601% Tie, 0.9360 SD at 50% (6C).
  • DEP409 (8D roads): red/blue marks log Big Road columns, never 14 Rank-5 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 18 Five-Pip Card cards leave a 8D shoe by 50% depth (DEP409), 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 (14/32 in 208 cards); Banker carries a -1.4623% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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