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COMBINATORIAL DEPLETION · 4D · RANK-2 · 50% DEPTH

4-Deck Two-Pip (Deuce) Depletion at 50% Penetration (Super 6 Audit DEP202)

Removing 9 of 16 Two-Pip (Deuce) (Rank-2) cards at 50% penetration of a 4-deck (208-card) shoe leaves 7 Rank-2 cards inside a 104-card stub (DEP202), producing 45.8745% Banker wins, 44.5836% Player wins, 9.5419% Ties, and a 1.4021% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4021%
Player EV (1:1)
-1.2909%
Rank-2 in 104-Card Stub
7/16
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 P B B P B P B P P
Big Eye Boy = = ≠ ≠ ≠ = = = = ≠ = = = ≠
Small Road ≠ = = ≠ ≠ = = ≠ ≠ = = ≠
Cockroach Pig = = = = ≠ ≠ ≠ ≠ ≠ = ≠

Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP202 (4D 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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 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 (DEP202)
104 / 208 Cards

50% penetration depth in 4D (four-deck Asian VIP salons and compact automatic shuffler shoes).

Rank-2 Remaining
7 of 16 Cards

9 2-pip cards across all four suits removed from the 4D pack.

Banker EV (Super 6)
-1.4021%

Resolved at 45.8745% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2909%

Resolved at 44.5836% Player win rate with 0.9351 unit standard deviation.

Tie Incidence (8:1)
9.5419%

Produces a 14.1233% house hold on the 8-to-1 Tie wager in state DEP202.

FINITE-SHOE ENUMERATION · DEP202

How Two-Pip (Deuce) Depletion at 50% Depth Impacts 4D (Super 6)

Under Super 6 settlement (Super 6), combinatorial state DEP202 models a 4D carrier with 104 cards left (50% dealt) and 7/16 Two-Pip (Deuce) cards remaining, producing a 1.4021% Banker edge versus 1.2909% on Player.

Tableau audit DEP202 confirms that on banker total 4, (dep202) banker draws against player third-card (4d-50%) 2 through 7; removing 2s (dep202·4d-50%) trims low-pip player third-card triggers. Inside the 104-card 4D stub (50% depth, 7/16 Rank-2 remaining, +0.52 bps slope), standard deviation is 0.9351 under Super 6.

State DEP202 (4D, 50% depth, 7/16 Rank-2 left, Super 6)
Wager / MetricState DEP202 Value4D BaselineSettlement Note
DEP202 Banker (Super 6)45.8745% (-1.4021% EV)45.8732%DEP202 4D 50% (7 Rank-2)
DEP202 Player (1:1)44.5836% (-1.2909% EV)44.5850%DEP202 104-card 4D stub (0.9351 SD)
DEP202 Tie (8:1)9.5419% (-14.1233% EV)9.5418%DEP202 Rank-2 (9 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP202

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP202 · 4D)

Synthesizing DEP202 (4D at 50% depth, 7 Two-Pip (Deuce) cards left inside 104 stub cards): Super 6 rules produce a 1.4021% Banker edge, 1.2909% Player edge, 14.1233% Tie edge, and 0.9351 unit volatility.

  • DEP202 (4D 50%): 104/208 cards with 7/16 Rank-2 (7A).
  • DEP202 (Rank-2 split): 45.8745% Banker, 44.5836% Player, 9.5419% Tie in 104 4D cards (7B).
  • DEP202 (Super 6 EV): -1.4021% Banker, -1.2909% Player, -14.1233% Tie, 0.9351 SD at 50% (7C).
  • DEP202 (4D roads): red/blue marks log Big Road columns, never 7 Rank-2 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 9 Two-Pip (Deuce) cards leave a 4D shoe by 50% depth (DEP202), 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 (7/16 in 104 cards); Banker carries a -1.4021% 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