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

8-Deck Eight-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP440)

Removing 29 of 32 Eight-Pip Card (Rank-8) cards at 80% penetration of a 8-deck (416-card) shoe leaves 3 Rank-8 cards inside a 83-card stub (DEP440), producing 45.8573% Banker wins, 44.6272% Player wins, 9.5155% Ties, and a 1.4629% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4629%
Player EV (1:1)
-1.2301%
Rank-8 in 83-Card Stub
3/32
Single-Hand Std Dev
0.9399
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 DEP440 (8D Rank-8 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 (DEP440)
83 / 416 Cards

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

Rank-8 Remaining
3 of 32 Cards

29 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 8D pack.

Banker EV (Super 6)
-1.4629%

Resolved at 45.8573% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2301%

Resolved at 44.6272% Player win rate with 0.9399 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3605% house hold on the 8-to-1 Tie wager in state DEP440.

FINITE-SHOE ENUMERATION · DEP440

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

Under Super 6 settlement (Super 6), combinatorial state DEP440 models a 8D carrier with 83 cards left (80% dealt) and 3/32 Eight-Pip Card cards remaining, producing a 1.4629% Banker edge versus 1.2301% on Player.

Tableau audit DEP440 confirms that on banker total 3, (dep440) banker draws against every player (8d-80%) third card except 8; removing (dep440·8d-80%) 8s eliminates banker 3's sole standing exception. Inside the 83-card 8D stub (80% depth, 3/32 Rank-8 remaining, -0.50 bps slope), standard deviation is 0.9399 under Super 6.

State DEP440 (8D, 80% depth, 3/32 Rank-8 left, Super 6)
Wager / MetricState DEP440 Value8D BaselineSettlement Note
DEP440 Banker (Super 6)45.8573% (-1.4629% EV)45.8597%DEP440 8D 80% (3 Rank-8)
DEP440 Player (1:1)44.6272% (-1.2301% EV)44.6247%DEP440 83-card 8D stub (0.9399 SD)
DEP440 Tie (8:1)9.5155% (-14.3605% EV)9.5156%DEP440 Rank-8 (29 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP440

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP440 · 8D)

On the electronic scoreboard for DEP440 (8D, 80% depth, 83 cards left), Bead Plate and Big Road circles record Banker (45.8573%) and Player (44.6272%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-8 card counts (3/32).

  • DEP440 (8D 80%): 83/416 cards with 3/32 Rank-8 (7A).
  • DEP440 (Rank-8 split): 45.8573% Banker, 44.6272% Player, 9.5155% Tie in 83 8D cards (7B).
  • DEP440 (Super 6 EV): -1.4629% Banker, -1.2301% Player, -14.3605% Tie, 0.9399 SD at 80% (7C).
  • DEP440 (8D roads): red/blue marks log Big Road columns, never 3 Rank-8 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 29 Eight-Pip Card cards leave a 8D shoe by 80% depth (DEP440), 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 (3/32 in 83 cards); Banker carries a -1.4629% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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