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COMBINATORIAL DEPLETION · 8D · RANK-2 · 60% DEPTH

8-Deck Two-Pip (Deuce) Depletion at 60% Penetration (EZ Baccarat Audit DEP383)

Removing 22 of 32 Two-Pip (Deuce) (Rank-2) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Rank-2 cards inside a 166-card stub (DEP383), producing 45.8614% Banker wins, 44.6229% Player wins, 9.5157% Ties, and a 1.0149% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0149%
Player EV (1:1)
-1.2385%
Rank-2 in 166-Card Stub
10/32
Single-Hand Std Dev
0.9361
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBPPBBPPBPTBPB) illustrating derived-road symmetry checks alongside DEP383 (8D Rank-2 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 (DEP383)
166 / 416 Cards

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

Rank-2 Remaining
10 of 32 Cards

22 2-pip cards across all four suits removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0149%

Resolved at 45.8614% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2385%

Resolved at 44.6229% Player win rate with 0.9361 unit standard deviation.

Tie Incidence (8:1)
9.5157%

Produces a 14.3590% house hold on the 8-to-1 Tie wager in state DEP383.

FINITE-SHOE ENUMERATION · DEP383

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

At 60% penetration of a 416-card (8D) shoe, state DEP383 isolates 22 dealt Rank-2 cards (10 remaining inside 166 stub cards), yielding 45.8614% Banker wins, 44.6229% Player wins, and 0.9361 per-hand standard deviation under EZ Baccarat.

For DEP383 (8-deck shoe, 60% dealt), on banker total 4, (dep383) banker draws against player third-card (8d-60%) 2 through 7; removing 2s (dep383·8d-60%) trims low-pip player third-card triggers. Holding 10 of 32 Rank-2 cards in a 166-card stub with +0.52 bps rank slope yields 45.8614% Banker, 44.6229% Player, and 9.5157% Tie.

State DEP383 (8D, 60% depth, 10/32 Rank-2 left, EZ Bar-7)
Wager / MetricState DEP383 Value8D BaselineSettlement Note
DEP383 Banker (EZ Bar-7)45.8614% (-1.0149% EV)45.8597%DEP383 8D 60% (10 Rank-2)
DEP383 Player (1:1)44.6229% (-1.2385% EV)44.6247%DEP383 166-card 8D stub (0.9361 SD)
DEP383 Tie (8:1)9.5157% (-14.3590% EV)9.5156%DEP383 Rank-2 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP383

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP383 · 8D)

Synthesizing DEP383 (8D at 60% depth, 10 Two-Pip (Deuce) cards left inside 166 stub cards): EZ Baccarat rules produce a 1.0149% Banker edge, 1.2385% Player edge, 14.3590% Tie edge, and 0.9361 unit volatility.

  • DEP383 (8D 60%): 166/416 cards with 10/32 Rank-2 (2A).
  • DEP383 (Rank-2 split): 45.8614% Banker, 44.6229% Player, 9.5157% Tie in 166 8D cards (2B).
  • DEP383 (EZ Bar-7 EV): -1.0149% Banker, -1.2385% Player, -14.3590% Tie, 0.9361 SD at 60% (2C).
  • DEP383 (8D roads): red/blue marks log Big Road columns, never 10 Rank-2 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Two-Pip (Deuce) cards leave a 8D shoe by 60% depth (DEP383), 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-2 stub counts (10/32 in 166 cards); Banker carries a -1.0149% 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