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COMBINATORIAL DEPLETION · 6D · RANK-4 · 70% DEPTH

6-Deck Four-Pip Card Depletion at 70% Penetration (5% Audit DEP312)

Removing 19 of 24 Four-Pip Card (Rank-4) cards at 70% penetration of a 6-deck (312-card) shoe leaves 5 Rank-4 cards inside a 94-card stub (DEP312), producing 45.8696% Banker wins, 44.5854% Player wins, 9.5450% Ties, and a 1.0094% Banker house edge under 5%.

Banker EV (5% Vig)
-1.0094%
Player EV (1:1)
-1.2841%
Rank-4 in 94-Card Stub
5/24
Single-Hand Std Dev
0.9377
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 P B P B B P P B B P B
Big Eye Boy = = = = ≠ = = = ≠ ≠ = = = = ≠
Small Road = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBPBPBBPPBBPB) illustrating derived-road symmetry checks alongside DEP312 (6D Rank-4 at 70% 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 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 (DEP312)
94 / 312 Cards

70% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-4 Remaining
5 of 24 Cards

19 4-pip cards (strongest pro-Banker removal sensitivity) removed from the 6D pack.

Banker EV (5% Vig)
-1.0094%

Resolved at 45.8696% Banker win rate under 5% settlement.

Player EV (1:1)
-1.2841%

Resolved at 44.5854% Player win rate with 0.9377 unit standard deviation.

Tie Incidence (8:1)
9.5450%

Produces a 14.0952% house hold on the 8-to-1 Tie wager in state DEP312.

FINITE-SHOE ENUMERATION · DEP312

How Four-Pip Card Depletion at 70% Depth Impacts 6D (5% Vig)

Finite-shoe specification DEP312 tracks Rank-4 removal at 70% depth in 6-deck play: with 5 of 24 Four-Pip Card cards left in the 94-card stub, Tie incidence is 9.5450% and Banker expectation settles at -1.0094% (5% Vig).

Why does Rank-4 carry a +1.19 bps per-card effect in DEP312? Rank 4 sits at (DEP312) the exact pivot where Banker (6D-70%) 5 begins drawing (Player third (DEP312·6D-70%) card 4–7) while Banker 3 and 4 also draw, and at 70% penetration (5 Four-Pip Card cards left in 94 6D cards), with 70% of cards (dep312-6d) dealt and 30% remaining ahead (5/24) of the cut card, winning (dep312-6d·5/24) banker bets pay 0.95 to 1.

State DEP312 (6D, 70% depth, 5/24 Rank-4 left, 5% Vig)
Wager / MetricState DEP312 Value6D BaselineSettlement Note
DEP312 Banker (5% Vig)45.8696% (-1.0094% EV)45.8648%DEP312 6D 70% (5 Rank-4)
DEP312 Player (1:1)44.5854% (-1.2841% EV)44.5903%DEP312 94-card 6D stub (0.9377 SD)
DEP312 Tie (8:1)9.5450% (-14.0952% EV)9.5449%DEP312 Rank-4 (19 out, 5 in)
TABLEAU & SCOREBOARD SEPARATION · DEP312

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP312 · 6D)

In studio and floor audits of DEP312 (94 cards undealt out of 312 in 6D at 70% depth), a 0.9377 unit standard deviation accompanies the 5-card Rank-4 stub under 5% Vig (45.8696% Banker vs 44.5854% Player).

  • DEP312 (6D 70%): 94/312 cards with 5/24 Rank-4 (4A).
  • DEP312 (Rank-4 split): 45.8696% Banker, 44.5854% Player, 9.5450% Tie in 94 6D cards (4B).
  • DEP312 (5% Vig EV): -1.0094% Banker, -1.2841% Player, -14.0952% Tie, 0.9377 SD at 70% (4C).
  • DEP312 (6D roads): red/blue marks log Big Road columns, never 5 Rank-4 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 19 Four-Pip Card cards leave a 6D shoe by 70% depth (DEP312), 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 (5/24 in 94 cards); Banker carries a -1.0094% 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