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COMBINATORIAL DEPLETION · 6D · RANK-0 · 70% DEPTH

6-Deck 0-Value Tens & Faces Depletion at 70% Penetration (5% Audit DEP276)

Removing 77 of 96 0-Value Tens & Faces (Rank-0) cards at 70% penetration of a 6-deck (312-card) shoe leaves 19 Rank-0 cards inside a 94-card stub (DEP276), producing 45.8677% Banker wins, 44.5872% Player wins, 9.5451% Ties, and a 1.0129% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0129%
Player EV (1:1)
-1.2805%
Rank-0 in 94-Card Stub
19/96
Single-Hand Std Dev
0.9365
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 DEP276 (6D Rank-0 at 70% 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 (DEP276)
94 / 312 Cards

70% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-0 Remaining
19 of 96 Cards

77 10, Jack, Queen, and King (zero-point cards) removed from the 6D pack.

Banker EV (5% Vig)
-1.0129%

Resolved at 45.8677% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2805%

Resolved at 44.5872% Player win rate with 0.9365 unit standard deviation.

Tie Incidence (8:1)
9.5451%

Produces a 14.0944% house hold on the 8-to-1 Tie wager in state DEP276.

FINITE-SHOE ENUMERATION · DEP276

How 0-Value Tens & Faces Depletion at 70% Depth Impacts 6D (5% Vig)

Depletion matrix entry DEP276 pairs 6D (312 cards) at 70% penetration with 77 removed 0-Value Tens & Faces cards (19 left in 94 cards), fixing per-hand volatility at 0.9365 and Banker house hold at 1.0129% (5% Vig).

Fewer zero-value draws mean (DEP276-Rank-0) third-card pulls change running totals (94c) more frequently instead of leaving (DEP276-Rank-0·94c) totals unchanged. Because 77 of 96 0-Value Tens & Faces cards are absent in DEP276 at 70% 6D penetration (94 cards left), per-card sensitivity (+0.18 bps) interacts directly with late-shoe 70% penetration depth (DEP276) under standard 5% Banker commission (Rank-0) (0.95:1 payout).

State DEP276 (6D, 70% depth, 19/96 Rank-0 left, 5% Vig)
Wager / MetricState DEP276 Value6D BaselineSettlement Note
DEP276 Banker (5% Vig)45.8677% (-1.0129% EV)45.8648%DEP276 6D 70% (19 Rank-0)
DEP276 Player (1:1)44.5872% (-1.2805% EV)44.5903%DEP276 94-card 6D stub (0.9365 SD)
DEP276 Tie (8:1)9.5451% (-14.0944% EV)9.5449%DEP276 Rank-0 (77 out, 19 in)
TABLEAU & SCOREBOARD SEPARATION · DEP276

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP276 · 6D)

Statistical verification of DEP276 (6D, 70% penetration, 19 0-Value Tens & Faces cards in 94 stub cards) demonstrates why single-rank depletion (77 Rank-0 dealt) shifts edges by basis points around -1.0129% (5% Vig).

  • DEP276 (6D 70%): 94/312 cards with 19/96 Rank-0 (6A).
  • DEP276 (Rank-0 split): 45.8677% Banker, 44.5872% Player, 9.5451% Tie in 94 6D cards (6B).
  • DEP276 (5% Vig EV): -1.0129% Banker, -1.2805% Player, -14.0944% Tie, 0.9365 SD at 70% (6C).
  • DEP276 (6D roads): red/blue marks log Big Road columns, never 19 Rank-0 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 77 0-Value Tens & Faces cards leave a 6D shoe by 70% depth (DEP276), 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 (19/96 in 94 cards); Banker carries a -1.0129% expectation under 5%.
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