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COMBINATORIAL DEPLETION · 8D · RANK-5 · 60% DEPTH

8-Deck Five-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP410)

Removing 22 of 32 Five-Pip Card (Rank-5) cards at 60% penetration of a 8-deck (416-card) shoe leaves 10 Rank-5 cards inside a 166-card stub (DEP410), producing 45.8569% Banker wins, 44.6275% Player wins, 9.5155% Ties, and a 1.0240% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-1.0240%
Player EV (1:1)
-1.2294%
Rank-5 in 166-Card Stub
10/32
Single-Hand Std Dev
0.9370
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 B P P
Big Eye Boy = = ≠ ≠ ≠ = = = = ≠ = = = ≠
Small Road ≠ = = ≠ ≠ = = ≠ ≠ = = ≠
Cockroach Pig = = = = ≠ ≠ ≠ ≠ ≠ = ≠

Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP410 (8D Rank-5 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

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 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.

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 (DEP410)
166 / 416 Cards

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

Rank-5 Remaining
10 of 32 Cards

22 5-pip cards (final mandatory Player draw threshold) removed from the 8D pack.

Banker EV (EZ Bar-7)
-1.0240%

Resolved at 45.8569% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2294%

Resolved at 44.6275% Player win rate with 0.9370 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3602% house hold on the 8-to-1 Tie wager in state DEP410.

FINITE-SHOE ENUMERATION · DEP410

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

Finite-shoe specification DEP410 tracks Rank-5 removal at 60% depth in 8-deck play: with 10 of 32 Five-Pip Card cards left in the 166-card stub, Tie incidence is 9.5155% and Banker expectation settles at -1.0240% (EZ Bar-7).

Under the fixed third-card tableau for DEP410, because player draws on (dep410) two-card 5 and stands on (8d-60%) 6, while banker 3, 4, (dep410·8d-60%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted. With 10 Rank-5 cards inside 166 remaining 8D cards (60% dealt), single-card slope (-0.84 bps) keeps Banker house edge at 1.0240% and Player at 1.2294%.

State DEP410 (8D, 60% depth, 10/32 Rank-5 left, EZ Bar-7)
Wager / MetricState DEP410 Value8D BaselineSettlement Note
DEP410 Banker (EZ Bar-7)45.8569% (-1.0240% EV)45.8597%DEP410 8D 60% (10 Rank-5)
DEP410 Player (1:1)44.6275% (-1.2294% EV)44.6247%DEP410 166-card 8D stub (0.9370 SD)
DEP410 Tie (8:1)9.5155% (-14.3602% EV)9.5156%DEP410 Rank-5 (22 out, 10 in)
TABLEAU & SCOREBOARD SEPARATION · DEP410

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP410 · 8D)

On the electronic scoreboard for DEP410 (8D, 60% depth, 166 cards left), Bead Plate and Big Road circles record Banker (45.8569%) and Player (44.6275%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-5 card counts (10/32).

  • DEP410 (8D 60%): 166/416 cards with 10/32 Rank-5 (4A).
  • DEP410 (Rank-5 split): 45.8569% Banker, 44.6275% Player, 9.5155% Tie in 166 8D cards (4B).
  • DEP410 (EZ Bar-7 EV): -1.0240% Banker, -1.2294% Player, -14.3602% Tie, 0.9370 SD at 60% (4C).
  • DEP410 (8D roads): red/blue marks log Big Road columns, never 10 Rank-5 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 22 Five-Pip Card cards leave a 8D shoe by 60% depth (DEP410), 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 (10/32 in 166 cards); Banker carries a -1.0240% 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