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COMBINATORIAL DEPLETION · 8D · RANK-5 · 85% DEPTH

8-Deck Five-Pip Card Depletion at 85% Penetration (EZ Baccarat Audit DEP414)

Removing 31 of 32 Five-Pip Card (Rank-5) cards at 85% penetration of a 8-deck (416-card) shoe leaves 1 Rank-5 cards inside a 62-card stub (DEP414), producing 45.8553% Banker wins, 44.6293% Player wins, 9.5155% Ties, and a 1.0274% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0274%
Player EV (1:1)
-1.2260%
Rank-5 in 62-Card Stub
1/32
Single-Hand Std Dev
0.9395
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 DEP414 (8D Rank-5 at 85% 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 (DEP414)
62 / 416 Cards

85% penetration depth in 8D (eight-deck Macau, Las Vegas Strip, and Singapore standard shoes).

Rank-5 Remaining
1 of 32 Cards

31 5-pip cards (final mandatory Player draw threshold) removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0274%

Resolved at 45.8553% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2260%

Resolved at 44.6293% Player win rate with 0.9395 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3606% house hold on the 8-to-1 Tie wager in state DEP414.

FINITE-SHOE ENUMERATION · DEP414

How Five-Pip Card Depletion at 85% Depth Impacts 8D (EZ Bar-7)

Within eight-deck Macau, Las Vegas Strip, and Singapore standard shoes, profile DEP414 examines 85% shoe depletion (62 of 416 cards remaining) after 31 Rank-5 cards exit, leaving 1 Five-Pip Card cards and a 1.0274% Banker house hold under EZ Baccarat.

For DEP414 (8-deck shoe, 85% dealt), because player draws on (dep414) two-card 5 and stands on (8d-85%) 6, while banker 3, 4, (dep414·8d-85%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted. Holding 1 of 32 Rank-5 cards in a 62-card stub with -0.84 bps rank slope yields 45.8553% Banker, 44.6293% Player, and 9.5155% Tie.

State DEP414 (8D, 85% depth, 1/32 Rank-5 left, EZ Bar-7)
Wager / MetricState DEP414 Value8D BaselineSettlement Note
DEP414 Banker (EZ Bar-7)45.8553% (-1.0274% EV)45.8597%DEP414 8D 85% (1 Rank-5)
DEP414 Player (1:1)44.6293% (-1.2260% EV)44.6247%DEP414 62-card 8D stub (0.9395 SD)
DEP414 Tie (8:1)9.5155% (-14.3606% EV)9.5156%DEP414 Rank-5 (31 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP414

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP414 · 8D)

Comparing DEP414 (85% 8D depth, 31 Rank-5 removed, 1 remaining in 62 cards) against fresh-shoe baselines shows how finite-stub variance (0.9395 SD) coexists with a 1.0274% EZ Baccarat Banker house edge.

  • DEP414 (8D 85%): 62/416 cards with 1/32 Rank-5 (3A).
  • DEP414 (Rank-5 split): 45.8553% Banker, 44.6293% Player, 9.5155% Tie in 62 8D cards (3B).
  • DEP414 (EZ Bar-7 EV): -1.0274% Banker, -1.2260% Player, -14.3606% Tie, 0.9395 SD at 85% (3C).
  • DEP414 (8D roads): red/blue marks log Big Road columns, never 1 Rank-5 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 31 Five-Pip Card cards leave a 8D shoe by 85% depth (DEP414), 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-5 stub counts (1/32 in 62 cards); Banker carries a -1.0274% 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