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COMBINATORIAL DEPLETION · 8D · RANK-4 · 80% DEPTH

8-Deck Four-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP404)

Removing 29 of 32 Four-Pip Card (Rank-4) cards at 80% penetration of a 8-deck (416-card) shoe leaves 3 Rank-4 cards inside a 83-card stub (DEP404), producing 45.8655% Banker wins, 44.6189% Player wins, 9.5157% Ties, and a 1.4464% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4464%
Player EV (1:1)
-1.2466%
Rank-4 in 83-Card Stub
3/32
Single-Hand Std Dev
0.9387
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B P B P B P P B B P B P B P P
Big Eye Boy = = ≠ = = = ≠ ≠ = = ≠ = = = ≠
Small Road ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠

Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP404 (8D Rank-4 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

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 (DEP404)
83 / 416 Cards

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

Rank-4 Remaining
3 of 32 Cards

29 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 8D pack.

Banker EV (Super 6)
-1.4464%

Resolved at 45.8655% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2466%

Resolved at 44.6189% Player win rate with 0.9387 unit standard deviation.

Tie Incidence (8:1)
9.5157%

Produces a 14.3587% house hold on the 8-to-1 Tie wager in state DEP404.

FINITE-SHOE ENUMERATION · DEP404

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

Exact conditional enumeration DEP404 for a 8D shoe at 80% depth (83/416 cards undealt) with 3 remaining Rank-4 cards confirms a 1.4464% Banker edge (Super 6), 1.2466% Player edge, and 14.3587% Tie edge.

Mechanical draw trees in DEP404 reflect how removing 4s produces the (dep404-rank-4) single largest per-card shift toward (83c) banker (and away from player) (dep404-rank-4·83c) of any rank in the shoe. At 80% 8D depth (3 Rank-4 left of 32 in 83 cards, +1.19 bps slope), only 20% of the (dep404-8d) initial shoe remains undealt while (3/32) winning banker 6 hands forfeit (dep404-8d·3/32) half their payout.

State DEP404 (8D, 80% depth, 3/32 Rank-4 left, Super 6)
Wager / MetricState DEP404 Value8D BaselineSettlement Note
DEP404 Banker (Super 6)45.8655% (-1.4464% EV)45.8597%DEP404 8D 80% (3 Rank-4)
DEP404 Player (1:1)44.6189% (-1.2466% EV)44.6247%DEP404 83-card 8D stub (0.9387 SD)
DEP404 Tie (8:1)9.5157% (-14.3587% EV)9.5156%DEP404 Rank-4 (29 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP404

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP404 · 8D)

While DEP404 tracks 29 removed Four-Pip Card cards across 80% of a 416-card (8D) shoe (83 remaining, 1.4464% Super 6 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP404 (8D 80%): 83/416 cards with 3/32 Rank-4 (2A).
  • DEP404 (Rank-4 split): 45.8655% Banker, 44.6189% Player, 9.5157% Tie in 83 8D cards (2B).
  • DEP404 (Super 6 EV): -1.4464% Banker, -1.2466% Player, -14.3587% Tie, 0.9387 SD at 80% (2C).
  • DEP404 (8D roads): red/blue marks log Big Road columns, never 3 Rank-4 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 29 Four-Pip Card cards leave a 8D shoe by 80% depth (DEP404), 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-4 stub counts (3/32 in 83 cards); Banker carries a -1.4464% 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