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COMBINATORIAL DEPLETION · 8D · RANK-2 · 80% DEPTH

8-Deck Two-Pip (Deuce) Depletion at 80% Penetration (Super 6 Audit DEP386)

Removing 29 of 32 Two-Pip (Deuce) (Rank-2) cards at 80% penetration of a 8-deck (416-card) shoe leaves 3 Rank-2 cards inside a 83-card stub (DEP386), producing 45.8622% Banker wins, 44.6221% Player wins, 9.5157% Ties, and a 1.4529% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4529%
Player EV (1:1)
-1.2401%
Rank-2 in 83-Card Stub
3/32
Single-Hand Std Dev
0.9381
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 B P P B B P B P B B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP386 (8D Rank-2 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 (DEP386)
83 / 416 Cards

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

Rank-2 Remaining
3 of 32 Cards

29 2-pip cards across all four suits removed from the 8D pack.

Banker EV (Super 6)
-1.4529%

Resolved at 45.8622% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2401%

Resolved at 44.6221% Player win rate with 0.9381 unit standard deviation.

Tie Incidence (8:1)
9.5157%

Produces a 14.3587% house hold on the 8-to-1 Tie wager in state DEP386.

FINITE-SHOE ENUMERATION · DEP386

How Two-Pip (Deuce) Depletion at 80% Depth Impacts 8D (Super 6)

Within eight-deck Macau, Las Vegas Strip, and Singapore standard shoes, profile DEP386 examines 80% shoe depletion (83 of 416 cards remaining) after 29 Rank-2 cards exit, leaving 3 Two-Pip (Deuce) cards and a 1.4529% Banker house hold under Super 6.

When 29 Rank-2 cards exit a 8D shoe by 80% penetration (DEP386, 3 left in 83 cards), depleting 2s shifts the (dep386-rank-2) probability of banker converting a (83c) two-card 4 or 5 into (dep386-rank-2·83c) a winning three-card 6 or 7, combining a +0.52 bps rank vector with Super 6 settlement (-1.4529% Banker EV).

State DEP386 (8D, 80% depth, 3/32 Rank-2 left, Super 6)
Wager / MetricState DEP386 Value8D BaselineSettlement Note
DEP386 Banker (Super 6)45.8622% (-1.4529% EV)45.8597%DEP386 8D 80% (3 Rank-2)
DEP386 Player (1:1)44.6221% (-1.2401% EV)44.6247%DEP386 83-card 8D stub (0.9381 SD)
DEP386 Tie (8:1)9.5157% (-14.3587% EV)9.5156%DEP386 Rank-2 (29 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP386

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP386 · 8D)

On the electronic scoreboard for DEP386 (8D, 80% depth, 83 cards left), Bead Plate and Big Road circles record Banker (45.8622%) and Player (44.6221%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-2 card counts (3/32).

  • DEP386 (8D 80%): 83/416 cards with 3/32 Rank-2 (3A).
  • DEP386 (Rank-2 split): 45.8622% Banker, 44.6221% Player, 9.5157% Tie in 83 8D cards (3B).
  • DEP386 (Super 6 EV): -1.4529% Banker, -1.2401% Player, -14.3587% Tie, 0.9381 SD at 80% (3C).
  • DEP386 (8D roads): red/blue marks log Big Road columns, never 3 Rank-2 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 29 Two-Pip (Deuce) cards leave a 8D shoe by 80% depth (DEP386), 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-2 stub counts (3/32 in 83 cards); Banker carries a -1.4529% 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