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COMBINATORIAL DEPLETION · 6D · RANK-2 · 50% DEPTH

6-Deck Two-Pip (Deuce) Depletion at 50% Penetration (Super 6 Audit DEP292)

Removing 14 of 24 Two-Pip (Deuce) (Rank-2) cards at 50% penetration of a 6-deck (312-card) shoe leaves 10 Rank-2 cards inside a 156-card stub (DEP292), producing 45.8662% Banker wins, 44.5889% Player wins, 9.5450% Ties, and a 1.4157% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4157%
Player EV (1:1)
-1.2773%
Rank-2 in 156-Card Stub
10/24
Single-Hand Std Dev
0.9351
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 DEP292 (6D Rank-2 at 50% 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 (DEP292)
156 / 312 Cards

50% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-2 Remaining
10 of 24 Cards

14 2-pip cards across all four suits removed from the 6D pack.

Banker EV (Super 6)
-1.4157%

Resolved at 45.8662% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2773%

Resolved at 44.5889% Player win rate with 0.9351 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0954% house hold on the 8-to-1 Tie wager in state DEP292.

FINITE-SHOE ENUMERATION · DEP292

How Two-Pip (Deuce) Depletion at 50% Depth Impacts 6D (Super 6)

Exact conditional enumeration DEP292 for a 6D shoe at 50% depth (156/312 cards undealt) with 10 remaining Rank-2 cards confirms a 1.4157% Banker edge (Super 6), 1.2773% Player edge, and 14.0954% Tie edge.

For DEP292 (6-deck shoe, 50% dealt), on banker total 4, (dep292) banker draws against player third-card (6d-50%) 2 through 7; removing 2s (dep292·6d-50%) trims low-pip player third-card triggers. Holding 10 of 24 Rank-2 cards in a 156-card stub with +0.52 bps rank slope yields 45.8662% Banker, 44.5889% Player, and 9.5450% Tie.

State DEP292 (6D, 50% depth, 10/24 Rank-2 left, Super 6)
Wager / MetricState DEP292 Value6D BaselineSettlement Note
DEP292 Banker (Super 6)45.8662% (-1.4157% EV)45.8648%DEP292 6D 50% (10 Rank-2)
DEP292 Player (1:1)44.5889% (-1.2773% EV)44.5903%DEP292 156-card 6D stub (0.9351 SD)
DEP292 Tie (8:1)9.5450% (-14.0954% EV)9.5449%DEP292 Rank-2 (14 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP292

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP292 · 6D)

Synthesizing DEP292 (6D at 50% depth, 10 Two-Pip (Deuce) cards left inside 156 stub cards): Super 6 rules produce a 1.4157% Banker edge, 1.2773% Player edge, 14.0954% Tie edge, and 0.9351 unit volatility.

  • DEP292 (6D 50%): 156/312 cards with 10/24 Rank-2 (2A).
  • DEP292 (Rank-2 split): 45.8662% Banker, 44.5889% Player, 9.5450% Tie in 156 6D cards (2B).
  • DEP292 (Super 6 EV): -1.4157% Banker, -1.2773% Player, -14.0954% Tie, 0.9351 SD at 50% (2C).
  • DEP292 (6D roads): red/blue marks log Big Road columns, never 10 Rank-2 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 14 Two-Pip (Deuce) cards leave a 6D shoe by 50% depth (DEP292), 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 (10/24 in 156 cards); Banker carries a -1.4157% 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