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COMBINATORIAL DEPLETION · 6D · RANK-8 · 80% DEPTH

6-Deck Eight-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP350)

Removing 22 of 24 Eight-Pip Card (Rank-8) cards at 80% penetration of a 6-deck (312-card) shoe leaves 2 Rank-8 cards inside a 62-card stub (DEP350), producing 45.8624% Banker wins, 44.5928% Player wins, 9.5448% Ties, and a 1.4235% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4235%
Player EV (1:1)
-1.2695%
Rank-8 in 62-Card Stub
2/24
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 B P P B B P B P P B B P B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ = ≠ = = ≠ ≠ =

Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP350 (6D 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 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 (DEP350)
62 / 312 Cards

80% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-8 Remaining
2 of 24 Cards

22 8-pip cards (Natural 8 generator and Banker 3 block) removed from the 6D pack.

Banker EV (Super 6)
-1.4235%

Resolved at 45.8624% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2695%

Resolved at 44.5928% Player win rate with 0.9399 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0968% house hold on the 8-to-1 Tie wager in state DEP350.

FINITE-SHOE ENUMERATION · DEP350

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

Quantitative proof DEP350 documents 6D rank depletion at 80% depth: 22 exited Rank-8 cards leave 2 of 24 in the 62-card stub, generating 45.8624% Banker wins (-1.4235% EV under Super 6) and 44.5928% Player wins.

For DEP350 (6-deck shoe, 80% dealt), on banker total 3, (dep350) banker draws against every player (6d-80%) third card except 8; removing (dep350·6d-80%) 8s eliminates banker 3's sole standing exception. Holding 2 of 24 Rank-8 cards in a 62-card stub with -0.50 bps rank slope yields 45.8624% Banker, 44.5928% Player, and 9.5448% Tie.

State DEP350 (6D, 80% depth, 2/24 Rank-8 left, Super 6)
Wager / MetricState DEP350 Value6D BaselineSettlement Note
DEP350 Banker (Super 6)45.8624% (-1.4235% EV)45.8648%DEP350 6D 80% (2 Rank-8)
DEP350 Player (1:1)44.5928% (-1.2695% EV)44.5903%DEP350 62-card 6D stub (0.9399 SD)
DEP350 Tie (8:1)9.5448% (-14.0968% EV)9.5449%DEP350 Rank-8 (22 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP350

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP350 · 6D)

While DEP350 tracks 22 removed Eight-Pip Card cards across 80% of a 312-card (6D) shoe (62 remaining, 1.4235% Super 6 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP350 (6D 80%): 62/312 cards with 2/24 Rank-8 (5A).
  • DEP350 (Rank-8 split): 45.8624% Banker, 44.5928% Player, 9.5448% Tie in 62 6D cards (5B).
  • DEP350 (Super 6 EV): -1.4235% Banker, -1.2695% Player, -14.0968% Tie, 0.9399 SD at 80% (5C).
  • DEP350 (6D roads): red/blue marks log Big Road columns, never 2 Rank-8 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Eight-Pip Card cards leave a 6D shoe by 80% depth (DEP350), 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 (2/24 in 62 cards); Banker carries a -1.4235% 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