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COMBINATORIAL DEPLETION · 6D · RANK-5 · 80% DEPTH

6-Deck Five-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP323)

Removing 22 of 24 Five-Pip Card (Rank-5) cards at 80% penetration of a 6-deck (312-card) shoe leaves 2 Rank-5 cards inside a 62-card stub (DEP323), producing 45.8607% Banker wins, 44.5945% Player wins, 9.5448% Ties, and a 1.4268% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4268%
Player EV (1:1)
-1.2662%
Rank-5 in 62-Card Stub
2/24
Single-Hand Std Dev
0.9390
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP323 (6D Rank-5 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 (DEP323)
62 / 312 Cards

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

Rank-5 Remaining
2 of 24 Cards

22 5-pip cards (final mandatory Player draw threshold) removed from the 6D pack.

Banker EV (Super 6)
-1.4268%

Resolved at 45.8607% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2662%

Resolved at 44.5945% Player win rate with 0.9390 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0968% house hold on the 8-to-1 Tie wager in state DEP323.

FINITE-SHOE ENUMERATION · DEP323

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

Audit DEP323 evaluates a 6-deck (312-card) shoe at 80% penetration where 22 of 24 Five-Pip Card cards have exited, leaving 2 Rank-5 cards inside the 62-card stub with Banker EV at -1.4268% under Super 6.

Why does Rank-5 carry a -0.84 bps per-card effect in DEP323? Because Player draws on (DEP323) two-card 5 and stands on (6D-80%) 6, while Banker 3, 4, (DEP323·6D-80%) and 5 all draw against a Player third-card 5, rank 5 favors Player when depleted, and at 80% penetration (2 Five-Pip Card cards left in 62 6D cards), only 20% of the (dep323-6d) initial shoe remains undealt while (2/24) winning banker 6 hands forfeit (dep323-6d·2/24) half their payout.

State DEP323 (6D, 80% depth, 2/24 Rank-5 left, Super 6)
Wager / MetricState DEP323 Value6D BaselineSettlement Note
DEP323 Banker (Super 6)45.8607% (-1.4268% EV)45.8648%DEP323 6D 80% (2 Rank-5)
DEP323 Player (1:1)44.5945% (-1.2662% EV)44.5903%DEP323 62-card 6D stub (0.9390 SD)
DEP323 Tie (8:1)9.5448% (-14.0968% EV)9.5449%DEP323 Rank-5 (22 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP323

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP323 · 6D)

Synthesizing DEP323 (6D at 80% depth, 2 Five-Pip Card cards left inside 62 stub cards): Super 6 rules produce a 1.4268% Banker edge, 1.2662% Player edge, 14.0968% Tie edge, and 0.9390 unit volatility.

  • DEP323 (6D 80%): 62/312 cards with 2/24 Rank-5 (3A).
  • DEP323 (Rank-5 split): 45.8607% Banker, 44.5945% Player, 9.5448% Tie in 62 6D cards (3B).
  • DEP323 (Super 6 EV): -1.4268% Banker, -1.2662% Player, -14.0968% Tie, 0.9390 SD at 80% (3C).
  • DEP323 (6D roads): red/blue marks log Big Road columns, never 2 Rank-5 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Five-Pip Card cards leave a 6D shoe by 80% depth (DEP323), 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 (2/24 in 62 cards); Banker carries a -1.4268% 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