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COMBINATORIAL DEPLETION · 6D · RANK-2 · 85% DEPTH

6-Deck Two-Pip (Deuce) Depletion at 85% Penetration (EZ Baccarat Audit DEP297)

Removing 23 of 24 Two-Pip (Deuce) (Rank-2) cards at 85% penetration of a 6-deck (312-card) shoe leaves 1 Rank-2 cards inside a 47-card stub (DEP297), producing 45.8675% Banker wins, 44.5875% Player wins, 9.5450% Ties, and a 0.9733% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9733%
Player EV (1:1)
-1.2801%
Rank-2 in 47-Card Stub
1/24
Single-Hand Std Dev
0.9386
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 P B B P
Big Eye Boy = = ≠ = = ≠ ≠ = = ≠ = = ≠ ≠
Small Road ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠

Reference shoe scoreboard (BBPPBPTBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP297 (6D Rank-2 at 85% 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 (DEP297)
47 / 312 Cards

85% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-2 Remaining
1 of 24 Cards

23 2-pip cards across all four suits removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9733%

Resolved at 45.8675% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2801%

Resolved at 44.5875% Player win rate with 0.9386 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0950% house hold on the 8-to-1 Tie wager in state DEP297.

FINITE-SHOE ENUMERATION · DEP297

How Two-Pip (Deuce) Depletion at 85% Depth Impacts 6D (EZ Bar-7)

When a 6D shoe reaches 85% cut-card depth (47 of 312 cards undealt, state DEP297) with 23 Two-Pip (Deuce) cards removed and 1 remaining, Player wins 44.5875% (1.2801% edge) while Banker wins 45.8675% (0.9733% edge under EZ Baccarat).

On Banker total 4, (DEP297) Banker draws against Player third-card (6D-85%) 2 through 7; removing 2s (DEP297·6D-85%) trims low-pip Player third-card triggers. In state DEP297 (6D, 85% depth), each removed Rank-2 card applies a +0.52 bps baseline directional pressure before scaling to the 47-card remainder (1 Rank-2 left), while At 85% cut-card penetration, (DEP297-6D) only 15% of the pack (1/24) remains and winning 3-card Banker (DEP297-6D·1/24) 7 hands push.

State DEP297 (6D, 85% depth, 1/24 Rank-2 left, EZ Bar-7)
Wager / MetricState DEP297 Value6D BaselineSettlement Note
DEP297 Banker (EZ Bar-7)45.8675% (-0.9733% EV)45.8648%DEP297 6D 85% (1 Rank-2)
DEP297 Player (1:1)44.5875% (-1.2801% EV)44.5903%DEP297 47-card 6D stub (0.9386 SD)
DEP297 Tie (8:1)9.5450% (-14.0950% EV)9.5449%DEP297 Rank-2 (23 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP297

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP297 · 6D)

In studio and floor audits of DEP297 (47 cards undealt out of 312 in 6D at 85% depth), a 0.9386 unit standard deviation accompanies the 1-card Rank-2 stub under EZ Bar-7 (45.8675% Banker vs 44.5875% Player).

  • DEP297 (6D 85%): 47/312 cards with 1/24 Rank-2 (6A).
  • DEP297 (Rank-2 split): 45.8675% Banker, 44.5875% Player, 9.5450% Tie in 47 6D cards (6B).
  • DEP297 (EZ Bar-7 EV): -0.9733% Banker, -1.2801% Player, -14.0950% Tie, 0.9386 SD at 85% (6C).
  • DEP297 (6D roads): red/blue marks log Big Road columns, never 1 Rank-2 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 23 Two-Pip (Deuce) cards leave a 6D shoe by 85% depth (DEP297), 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-2 stub counts (1/24 in 47 cards); Banker carries a -0.9733% expectation under EZ Baccarat.
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