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COMBINATORIAL DEPLETION · 6D · RANK-3 · 80% DEPTH

6-Deck Three-Pip (Trey) Depletion at 80% Penetration (Super 6 Audit DEP305)

Removing 22 of 24 Three-Pip (Trey) (Rank-3) cards at 80% penetration of a 6-deck (312-card) shoe leaves 2 Rank-3 cards inside a 62-card stub (DEP305), producing 45.8680% Banker wins, 44.5870% Player wins, 9.5450% Ties, and a 1.4120% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4120%
Player EV (1:1)
-1.2810%
Rank-3 in 62-Card Stub
2/24
Single-Hand Std Dev
0.9384
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP305 (6D Rank-3 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 (DEP305)
62 / 312 Cards

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

Rank-3 Remaining
2 of 24 Cards

22 3-pip cards across all four suits removed from the 6D pack.

Banker EV (Super 6)
-1.4120%

Resolved at 45.8680% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2810%

Resolved at 44.5870% Player win rate with 0.9384 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0950% house hold on the 8-to-1 Tie wager in state DEP305.

FINITE-SHOE ENUMERATION · DEP305

How Three-Pip (Trey) Depletion at 80% Depth Impacts 6D (Super 6)

Removing 22 of 24 Rank-3 cards by the 80% mark of a 6-deck shoe (DEP305, 62 cards left) leaves 2 Three-Pip (Trey) cards and adjusts conditional probabilities to 45.8680% Banker, 44.5870% Player, and 9.5450% Tie under Super 6.

Combinatorial weighting in DEP305 (62 cards left from 312 at 80% depth) is governed by two rules: banker total 4 draws (dep305) on player third-card 3, and (6d-80%) banker total 5 stands on (dep305·6d-80%) player third-card 3, creating asymmetric sensitivity, and only 20% of the (dep305-6d) initial shoe remains undealt while (2/24) winning banker 6 hands forfeit (dep305-6d·2/24) half their payout (+0.65 bps per Rank-3 removed).

State DEP305 (6D, 80% depth, 2/24 Rank-3 left, Super 6)
Wager / MetricState DEP305 Value6D BaselineSettlement Note
DEP305 Banker (Super 6)45.8680% (-1.4120% EV)45.8648%DEP305 6D 80% (2 Rank-3)
DEP305 Player (1:1)44.5870% (-1.2810% EV)44.5903%DEP305 62-card 6D stub (0.9384 SD)
DEP305 Tie (8:1)9.5450% (-14.0950% EV)9.5449%DEP305 Rank-3 (22 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP305

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP305 · 6D)

While DEP305 tracks 22 removed Three-Pip (Trey) cards across 80% of a 312-card (6D) shoe (62 remaining, 1.4120% Super 6 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP305 (6D 80%): 62/312 cards with 2/24 Rank-3 (4A).
  • DEP305 (Rank-3 split): 45.8680% Banker, 44.5870% Player, 9.5450% Tie in 62 6D cards (4B).
  • DEP305 (Super 6 EV): -1.4120% Banker, -1.2810% Player, -14.0950% Tie, 0.9384 SD at 80% (4C).
  • DEP305 (6D roads): red/blue marks log Big Road columns, never 2 Rank-3 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Three-Pip (Trey) cards leave a 6D shoe by 80% depth (DEP305), 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-3 stub counts (2/24 in 62 cards); Banker carries a -1.4120% 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