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COMBINATORIAL DEPLETION · 6D · RANK-0 · 80% DEPTH

6-Deck 0-Value Tens & Faces Depletion at 80% Penetration (Super 6 Audit DEP278)

Removing 88 of 96 0-Value Tens & Faces (Rank-0) cards at 80% penetration of a 6-deck (312-card) shoe leaves 8 Rank-0 cards inside a 62-card stub (DEP278), producing 45.8683% Banker wins, 44.5866% Player wins, 9.5451% Ties, and a 1.4113% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4113%
Player EV (1:1)
-1.2817%
Rank-0 in 62-Card Stub
8/96
Single-Hand Std Dev
0.9375
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP278 (6D Rank-0 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

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 (DEP278)
62 / 312 Cards

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

Rank-0 Remaining
8 of 96 Cards

88 10, Jack, Queen, and King (zero-point cards) removed from the 6D pack.

Banker EV (Super 6)
-1.4113%

Resolved at 45.8683% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2817%

Resolved at 44.5866% Player win rate with 0.9375 unit standard deviation.

Tie Incidence (8:1)
9.5451%

Produces a 14.0941% house hold on the 8-to-1 Tie wager in state DEP278.

FINITE-SHOE ENUMERATION · DEP278

How 0-Value Tens & Faces Depletion at 80% Depth Impacts 6D (Super 6)

Exact conditional enumeration DEP278 for a 6D shoe at 80% depth (62/312 cards undealt) with 8 remaining Rank-0 cards confirms a 1.4113% Banker edge (Super 6), 1.2817% Player edge, and 14.0941% Tie edge.

In 6D audit DEP278 (62/312 stub at 80% depth), fewer zero-value draws mean (dep278-rank-0) third-card pulls change running totals (62c) more frequently instead of leaving (dep278-rank-0·62c) totals unchanged. Removing 88 Rank-0 cards (+0.18 bps per card) alongside Super 6 rules sets Tie hold to 14.0941% (9.5451% frequency).

State DEP278 (6D, 80% depth, 8/96 Rank-0 left, Super 6)
Wager / MetricState DEP278 Value6D BaselineSettlement Note
DEP278 Banker (Super 6)45.8683% (-1.4113% EV)45.8648%DEP278 6D 80% (8 Rank-0)
DEP278 Player (1:1)44.5866% (-1.2817% EV)44.5903%DEP278 62-card 6D stub (0.9375 SD)
DEP278 Tie (8:1)9.5451% (-14.0941% EV)9.5449%DEP278 Rank-0 (88 out, 8 in)
TABLEAU & SCOREBOARD SEPARATION · DEP278

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP278 · 6D)

Learners auditing DEP278 (6D at 80% depth, 8/96 Rank-0 in 62 stub cards) can verify that Super 6 house hold (1.4113% Banker, 1.2817% Player, 14.0941% Tie) operates independently of prior Big Road streaks.

  • DEP278 (6D 80%): 62/312 cards with 8/96 Rank-0 (2A).
  • DEP278 (Rank-0 split): 45.8683% Banker, 44.5866% Player, 9.5451% Tie in 62 6D cards (2B).
  • DEP278 (Super 6 EV): -1.4113% Banker, -1.2817% Player, -14.0941% Tie, 0.9375 SD at 80% (2C).
  • DEP278 (6D roads): red/blue marks log Big Road columns, never 8 Rank-0 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 88 0-Value Tens & Faces cards leave a 6D shoe by 80% depth (DEP278), 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-0 stub counts (8/96 in 62 cards); Banker carries a -1.4113% 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