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COMBINATORIAL DEPLETION · 6D · RANK-0 · 25% DEPTH

6-Deck 0-Value Tens & Faces Depletion at 25% Penetration (5% Audit DEP272)

Removing 28 of 96 0-Value Tens & Faces (Rank-0) cards at 25% penetration of a 6-deck (312-card) shoe leaves 68 Rank-0 cards inside a 234-card stub (DEP272), producing 45.8656% Banker wins, 44.5894% Player wins, 9.5449% Ties, and a 1.0171% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0171%
Player EV (1:1)
-1.2762%
Rank-0 in 234-Card Stub
68/96
Single-Hand Std Dev
0.9320
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP272 (6D Rank-0 at 25% 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 (DEP272)
234 / 312 Cards

25% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-0 Remaining
68 of 96 Cards

28 10, Jack, Queen, and King (zero-point cards) removed from the 6D pack.

Banker EV (5% Vig)
-1.0171%

Resolved at 45.8656% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2762%

Resolved at 44.5894% Player win rate with 0.9320 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0955% house hold on the 8-to-1 Tie wager in state DEP272.

FINITE-SHOE ENUMERATION · DEP272

How 0-Value Tens & Faces Depletion at 25% Depth Impacts 6D (5% Vig)

Under 5% settlement (5% Vig), combinatorial state DEP272 models a 6D carrier with 234 cards left (25% dealt) and 68/96 0-Value Tens & Faces cards remaining, producing a 1.0171% Banker edge versus 1.2762% on Player.

Because fewer zero-value draws mean (dep272-rank-0) third-card pulls change running totals (234c) more frequently instead of leaving (dep272-rank-0·234c) totals unchanged, state DEP272 (25% 6D depth, 28 Rank-0 removed, 68 in 234 cards) registers a +0.18 bps rank derivative and 1.0171% Banker house edge (5% Vig).

State DEP272 (6D, 25% depth, 68/96 Rank-0 left, 5% Vig)
Wager / MetricState DEP272 Value6D BaselineSettlement Note
DEP272 Banker (5% Vig)45.8656% (-1.0171% EV)45.8648%DEP272 6D 25% (68 Rank-0)
DEP272 Player (1:1)44.5894% (-1.2762% EV)44.5903%DEP272 234-card 6D stub (0.9320 SD)
DEP272 Tie (8:1)9.5449% (-14.0955% EV)9.5449%DEP272 Rank-0 (28 out, 68 in)
TABLEAU & SCOREBOARD SEPARATION · DEP272

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP272 · 6D)

Scoreboard literacy in DEP272 separates two independent concepts: 6D card-removal math (68 Rank-0 left in 234 cards at 25% depth, 0.9320 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP272 (6D 25%): 234/312 cards with 68/96 Rank-0 (7A).
  • DEP272 (Rank-0 split): 45.8656% Banker, 44.5894% Player, 9.5449% Tie in 234 6D cards (7B).
  • DEP272 (5% Vig EV): -1.0171% Banker, -1.2762% Player, -14.0955% Tie, 0.9320 SD at 25% (7C).
  • DEP272 (6D roads): red/blue marks log Big Road columns, never 68 Rank-0 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 28 0-Value Tens & Faces cards leave a 6D shoe by 25% depth (DEP272), 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 (68/96 in 234 cards); Banker carries a -1.0171% 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