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COMBINATORIAL DEPLETION · 2D · RANK-9 · 60% DEPTH

2-Deck Nine-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP176)

Removing 6 of 8 Nine-Pip Card (Rank-9) cards at 60% penetration of a 2-deck (104-card) shoe leaves 2 Rank-9 cards inside a 42-card stub (DEP176), producing 45.8990% Banker wins, 44.5685% Player wins, 9.5326% Ties, and a 0.9229% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9229%
Player EV (1:1)
-1.3305%
Rank-9 in 42-Card Stub
2/8
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 P B B P P B B P B P B
Big Eye Boy = = = = = = ≠ ≠ ≠ ≠ = = = =
Small Road = = = = = = ≠ = = = = =
Cockroach Pig = = = = = = ≠ = = ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP176 (2D 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 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 (DEP176)
42 / 104 Cards

60% penetration depth in 2D (double-deck European salon privé carriers and two-deck shoe pits).

Rank-9 Remaining
2 of 8 Cards

6 9-pip cards (top Natural 9 generator) removed from the 2D pack.

Banker EV (EZ Bar-7)
-0.9229%

Resolved at 45.8990% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.3305%

Resolved at 44.5685% Player win rate with 0.9382 unit standard deviation.

Tie Incidence (8:1)
9.5326%

Produces a 14.2069% house hold on the 8-to-1 Tie wager in state DEP176.

FINITE-SHOE ENUMERATION · DEP176

How Nine-Pip Card Depletion at 60% Depth Impacts 2D (EZ Bar-7)

Within double-deck European salon privé carriers and two-deck shoe pits, profile DEP176 examines 60% shoe depletion (42 of 104 cards remaining) after 6 Rank-9 cards exit, leaving 2 Nine-Pip Card cards and a 0.9229% Banker house hold under EZ Baccarat.

When 9s are depleted (DEP176-Rank-9) late in the shoe, more (42c) hands bypass four-card natural resolution (DEP176-Rank-9·42c) and enter the five- and six-card tableau. Because 6 of 8 Nine-Pip Card cards are absent in DEP176 at 60% 2D penetration (42 cards left), per-card sensitivity (-0.23 bps) interacts directly with post-midpoint 60% penetration depth (DEP176) under EZ Baccarat barred 3-card (Rank-9) Banker 7 rules.

State DEP176 (2D, 60% depth, 2/8 Rank-9 left, EZ Bar-7)
Wager / MetricState DEP176 Value2D BaselineSettlement Note
DEP176 Banker (EZ Bar-7)45.8990% (-0.9229% EV)45.8998%DEP176 2D 60% (2 Rank-9)
DEP176 Player (1:1)44.5685% (-1.3305% EV)44.5676%DEP176 42-card 2D stub (0.9382 SD)
DEP176 Tie (8:1)9.5326% (-14.2069% EV)9.5326%DEP176 Rank-9 (6 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP176

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP176 · 2D)

While DEP176 tracks 6 removed Nine-Pip Card cards across 60% of a 104-card (2D) shoe (42 remaining, 0.9229% EZ Bar-7 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP176 (2D 60%): 42/104 cards with 2/8 Rank-9 (3A).
  • DEP176 (Rank-9 split): 45.8990% Banker, 44.5685% Player, 9.5326% Tie in 42 2D cards (3B).
  • DEP176 (EZ Bar-7 EV): -0.9229% Banker, -1.3305% Player, -14.2069% Tie, 0.9382 SD at 60% (3C).
  • DEP176 (2D roads): red/blue marks log Big Road columns, never 2 Rank-9 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 6 Nine-Pip Card cards leave a 2D shoe by 60% depth (DEP176), 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 (2/8 in 42 cards); Banker carries a -0.9229% 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