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COMBINATORIAL DEPLETION · 6D · RANK-9 · 50% DEPTH

6-Deck Nine-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP355)

Removing 14 of 24 Nine-Pip Card (Rank-9) cards at 50% penetration of a 6-deck (312-card) shoe leaves 10 Rank-9 cards inside a 156-card stub (DEP355), producing 45.8642% Banker wins, 44.5909% Player wins, 9.5449% Ties, and a 1.4197% Banker house edge under Super 6.

Banker EV (Super 6)
-1.4197%
Player EV (1:1)
-1.2733%
Rank-9 in 156-Card Stub
10/24
Single-Hand Std Dev
0.9372
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 DEP355 (6D Rank-9 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 (DEP355)
156 / 312 Cards

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

Rank-9 Remaining
10 of 24 Cards

14 9-pip cards (top Natural 9 generator) removed from the 6D pack.

Banker EV (Super 6)
-1.4197%

Resolved at 45.8642% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.2733%

Resolved at 44.5909% Player win rate with 0.9372 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0961% house hold on the 8-to-1 Tie wager in state DEP355.

FINITE-SHOE ENUMERATION · DEP355

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

At 50% penetration of a 312-card (6D) shoe, state DEP355 isolates 14 dealt Rank-9 cards (10 remaining inside 156 stub cards), yielding 45.8642% Banker wins, 44.5909% Player wins, and 0.9372 per-hand standard deviation under Super 6.

Rank 9 paired with (DEP355) any ten or face card (6D-50%) creates an unbeatable two-card Natural (DEP355·6D-50%) 9 that halts all third-card drawing on both sides. In state DEP355 (6D, 50% depth), each removed Rank-9 card applies a -0.23 bps baseline directional pressure before scaling to the 156-card remainder (10 Rank-9 left), while Banker wins on totals (DEP355-6D) 1–5 and 7–9 pay 1:1 (10/24) while any winning 2-card or (DEP355-6D·10/24) 3-card Banker 6 pays 50 cents on the dollar.

State DEP355 (6D, 50% depth, 10/24 Rank-9 left, Super 6)
Wager / MetricState DEP355 Value6D BaselineSettlement Note
DEP355 Banker (Super 6)45.8642% (-1.4197% EV)45.8648%DEP355 6D 50% (10 Rank-9)
DEP355 Player (1:1)44.5909% (-1.2733% EV)44.5903%DEP355 156-card 6D stub (0.9372 SD)
DEP355 Tie (8:1)9.5449% (-14.0961% EV)9.5449%DEP355 Rank-9 (14 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP355

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP355 · 6D)

Across 100-hand session horizons at state DEP355 (6D 50% depth, 10/24 Rank-9 in 156 cards), single-hand dispersion (0.9372 SD) dominates the 1.4197% (Super 6) Banker and 1.2733% Player expectation gap.

  • DEP355 (6D 50%): 156/312 cards with 10/24 Rank-9 (2A).
  • DEP355 (Rank-9 split): 45.8642% Banker, 44.5909% Player, 9.5449% Tie in 156 6D cards (2B).
  • DEP355 (Super 6 EV): -1.4197% Banker, -1.2733% Player, -14.0961% Tie, 0.9372 SD at 50% (2C).
  • DEP355 (6D roads): red/blue marks log Big Road columns, never 10 Rank-9 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 14 Nine-Pip Card cards leave a 6D shoe by 50% depth (DEP355), 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-9 stub counts (10/24 in 156 cards); Banker carries a -1.4197% 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