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

2-Deck Four-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP130)

Removing 5 of 8 Four-Pip Card (Rank-4) cards at 50% penetration of a 2-deck (104-card) shoe leaves 3 Rank-4 cards inside a 52-card stub (DEP130), producing 45.9032% Banker wins, 44.5642% Player wins, 9.5327% Ties, and a 1.3540% Banker house edge under Super 6.

Banker EV (Super 6)
-1.3540%
Player EV (1:1)
-1.3390%
Rank-4 in 52-Card Stub
3/8
Single-Hand Std Dev
0.9357
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 B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP130 (2D Rank-4 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 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 (DEP130)
52 / 104 Cards

50% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-4 Remaining
3 of 8 Cards

5 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 2D pack.

Banker EV (Super 6)
-1.3540%

Resolved at 45.9032% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.3390%

Resolved at 44.5642% Player win rate with 0.9357 unit standard deviation.

Tie Incidence (8:1)
9.5327%

Produces a 14.2061% house hold on the 8-to-1 Tie wager in state DEP130.

FINITE-SHOE ENUMERATION · DEP130

How Four-Pip Card Depletion at 50% Depth Impacts 2D (Super 6)

Finite-shoe specification DEP130 tracks Rank-4 removal at 50% depth in 2-deck play: with 3 of 8 Four-Pip Card cards left in the 52-card stub, Tie incidence is 9.5327% and Banker expectation settles at -1.3540% (Super 6).

Under the fixed third-card tableau for DEP130, rank 4 sits at (dep130) the exact pivot where banker (2d-50%) 5 begins drawing (player third (dep130·2d-50%) card 4–7) while banker 3 and 4 also draw. With 3 Rank-4 cards inside 52 remaining 2D cards (50% dealt), single-card slope (+1.19 bps) keeps Banker house edge at 1.3540% and Player at 1.3390%.

State DEP130 (2D, 50% depth, 3/8 Rank-4 left, Super 6)
Wager / MetricState DEP130 Value2D BaselineSettlement Note
DEP130 Banker (Super 6)45.9032% (-1.3540% EV)45.8998%DEP130 2D 50% (3 Rank-4)
DEP130 Player (1:1)44.5642% (-1.3390% EV)44.5676%DEP130 52-card 2D stub (0.9357 SD)
DEP130 Tie (8:1)9.5327% (-14.2061% EV)9.5326%DEP130 Rank-4 (5 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP130

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP130 · 2D)

In DEP130, the 52-card 2D stub (50% penetration, 5 of 8 Rank-4 dealt) yields 45.9032% Banker, 44.5642% Player, and 9.5327% Tie outcomes with 0.9357 dispersion under Super 6.

  • DEP130 (2D 50%): 52/104 cards with 3/8 Rank-4 (4A).
  • DEP130 (Rank-4 split): 45.9032% Banker, 44.5642% Player, 9.5327% Tie in 52 2D cards (4B).
  • DEP130 (Super 6 EV): -1.3540% Banker, -1.3390% Player, -14.2061% Tie, 0.9357 SD at 50% (4C).
  • DEP130 (2D roads): red/blue marks log Big Road columns, never 3 Rank-4 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 5 Four-Pip Card cards leave a 2D shoe by 50% depth (DEP130), 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-4 stub counts (3/8 in 52 cards); Banker carries a -1.3540% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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