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COMBINATORIAL DEPLETION · 8D · RANK-9 · 60% DEPTH

8-Deck Nine-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP446)

Removing 22 of 32 Nine-Pip Card (Rank-9) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Rank-9 cards inside a 166-card stub (DEP446), producing 45.8589% Banker wins, 44.6255% Player wins, 9.5156% Ties, and a 1.0200% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0200%
Player EV (1:1)
-1.2334%
Rank-9 in 166-Card Stub
10/32
Single-Hand Std Dev
0.9382
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 P B B P B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ = ≠ = = ≠ ≠ =

Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP446 (8D Rank-9 at 60% 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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP446)
166 / 416 Cards

60% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-9 Remaining
10 of 32 Cards

22 9-pip cards (top Natural 9 generator) removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0200%

Resolved at 45.8589% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2334%

Resolved at 44.6255% Player win rate with 0.9382 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3599% house hold on the 8-to-1 Tie wager in state DEP446.

FINITE-SHOE ENUMERATION · DEP446

How Nine-Pip Card Depletion at 60% Depth Impacts 8D (EZ Bar-7)

Exact conditional enumeration DEP446 for a 8D shoe at 60% depth (166/416 cards undealt) with 10 remaining Rank-9 cards confirms a 1.0200% Banker edge (EZ Bar-7), 1.2334% Player edge, and 14.3599% Tie edge.

Under the fixed third-card tableau for DEP446, rank 9 paired with (dep446) any ten or face card (8d-60%) creates an unbeatable two-card natural (dep446·8d-60%) 9 that halts all third-card drawing on both sides. With 10 Rank-9 cards inside 166 remaining 8D cards (60% dealt), single-card slope (-0.23 bps) keeps Banker house edge at 1.0200% and Player at 1.2334%.

State DEP446 (8D, 60% depth, 10/32 Rank-9 left, EZ Bar-7)
Wager / MetricState DEP446 Value8D BaselineSettlement Note
DEP446 Banker (EZ Bar-7)45.8589% (-1.0200% EV)45.8597%DEP446 8D 60% (10 Rank-9)
DEP446 Player (1:1)44.6255% (-1.2334% EV)44.6247%DEP446 166-card 8D stub (0.9382 SD)
DEP446 Tie (8:1)9.5156% (-14.3599% EV)9.5156%DEP446 Rank-9 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP446

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP446 · 8D)

Scoreboard literacy in DEP446 separates two independent concepts: 8D card-removal math (10 Rank-9 left in 166 cards at 60% depth, 0.9382 volatility) and derived-road comparison rules (Rule 1 column-depth checks and Rule 2 two-cell lookbacks).

  • DEP446 (8D 60%): 166/416 cards with 10/32 Rank-9 (2A).
  • DEP446 (Rank-9 split): 45.8589% Banker, 44.6255% Player, 9.5156% Tie in 166 8D cards (2B).
  • DEP446 (EZ Bar-7 EV): -1.0200% Banker, -1.2334% Player, -14.3599% Tie, 0.9382 SD at 60% (2C).
  • DEP446 (8D roads): red/blue marks log Big Road columns, never 10 Rank-9 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Nine-Pip Card cards leave a 8D shoe by 60% depth (DEP446), 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 (10/32 in 166 cards); Banker carries a -1.0200% expectation under EZ Baccarat.
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