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COMBINATORIAL DEPLETION · 6D · RANK-4 · 10% DEPTH

6-Deck Four-Pip Card Depletion at 10% Penetration (5% Audit DEP307)

Removing 3 of 24 Four-Pip Card (Rank-4) cards at 10% penetration of a 6-deck (312-card) shoe leaves 21 Rank-4 cards inside a 281-card stub (DEP307), producing 45.8653% Banker wins, 44.5898% Player wins, 9.5449% Ties, and a 1.0177% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0177%
Player EV (1:1)
-1.2755%
Rank-4 in 281-Card Stub
21/24
Single-Hand Std Dev
0.9317
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBPBPBBPPBPBPBB) illustrating derived-road symmetry checks alongside DEP307 (6D Rank-4 at 10% 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 (DEP307)
281 / 312 Cards

10% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-4 Remaining
21 of 24 Cards

3 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.

Banker EV (5% Vig)
-1.0177%

Resolved at 45.8653% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2755%

Resolved at 44.5898% Player win rate with 0.9317 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0958% house hold on the 8-to-1 Tie wager in state DEP307.

FINITE-SHOE ENUMERATION · DEP307

How Four-Pip Card Depletion at 10% Depth Impacts 6D (5% Vig)

Shoe-stub analysis DEP307 inspects 281 remaining cards at 10% penetration of a 312-card (6D) pack after 3 Four-Pip Card cards have cleared, leaving 21 Rank-4 cards and a 1.0177% 5% Banker edge.

Tableau audit DEP307 confirms that rank 4 sits at (dep307) the exact pivot where banker (6d-10%) 5 begins drawing (player third (dep307·6d-10%) card 4–7) while banker 3 and 4 also draw. Inside the 281-card 6D stub (10% depth, 21/24 Rank-4 remaining, +1.19 bps slope), standard deviation is 0.9317 under 5% Vig.

State DEP307 (6D, 10% depth, 21/24 Rank-4 left, 5% Vig)
Wager / MetricState DEP307 Value6D BaselineSettlement Note
DEP307 Banker (5% Vig)45.8653% (-1.0177% EV)45.8648%DEP307 6D 10% (21 Rank-4)
DEP307 Player (1:1)44.5898% (-1.2755% EV)44.5903%DEP307 281-card 6D stub (0.9317 SD)
DEP307 Tie (8:1)9.5449% (-14.0958% EV)9.5449%DEP307 Rank-4 (3 out, 21 in)
TABLEAU & SCOREBOARD SEPARATION · DEP307

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP307 · 6D)

Synthesizing DEP307 (6D at 10% depth, 21 Four-Pip Card cards left inside 281 stub cards): 5% rules produce a 1.0177% Banker edge, 1.2755% Player edge, 14.0958% Tie edge, and 0.9317 unit volatility.

  • DEP307 (6D 10%): 281/312 cards with 21/24 Rank-4 (7A).
  • DEP307 (Rank-4 split): 45.8653% Banker, 44.5898% Player, 9.5449% Tie in 281 6D cards (7B).
  • DEP307 (5% Vig EV): -1.0177% Banker, -1.2755% Player, -14.0958% Tie, 0.9317 SD at 10% (7C).
  • DEP307 (6D roads): red/blue marks log Big Road columns, never 21 Rank-4 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Four-Pip Card cards leave a 6D shoe by 10% depth (DEP307), 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 (21/24 in 281 cards); Banker carries a -1.0177% 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