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COMBINATORIAL DEPLETION · 1D · RANK-5 · 60% DEPTH

1-Deck Five-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP050)

Removing 3 of 4 Five-Pip Card (Rank-5) cards at 60% penetration of a 1-deck (52-card) shoe leaves 1 Rank-5 cards inside a 21-card stub (DEP050), producing 45.9565% Banker wins, 44.5280% Player wins, 9.5155% Ties, and a 0.8249% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.8249%
Player EV (1:1)
-1.4285%
Rank-5 in 21-Card Stub
1/4
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 P B B P P B B P B P B B P
Big Eye Boy = = = = = = ≠ = = = = ≠ ≠ = =
Small Road = = = = = = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = = = = = ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBPBBP) illustrating derived-road symmetry checks alongside DEP050 (1D 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

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 (DEP050)
21 / 52 Cards

60% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-5 Remaining
1 of 4 Cards

3 5-pip cards (final mandatory Player draw threshold) removed from the 1D pack.

Banker EV (EZ Bar-7)
-0.8249%

Resolved at 45.9565% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.4285%

Resolved at 44.5280% 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 DEP050.

FINITE-SHOE ENUMERATION · DEP050

How Five-Pip Card Depletion at 60% Depth Impacts 1D (EZ Bar-7)

Within single-deck laboratory benchmarks and historical pitch audits, profile DEP050 examines 60% shoe depletion (21 of 52 cards remaining) after 3 Rank-5 cards exit, leaving 1 Five-Pip Card cards and a 0.8249% Banker house hold under EZ Baccarat.

Under the fixed third-card tableau for DEP050, because player draws on (dep050) two-card 5 and stands on (1d-60%) 6, while banker 3, 4, (dep050·1d-60%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted. With 1 Rank-5 cards inside 21 remaining 1D cards (60% dealt), single-card slope (-0.84 bps) keeps Banker house edge at 0.8249% and Player at 1.4285%.

State DEP050 (1D, 60% depth, 1/4 Rank-5 left, EZ Bar-7)
Wager / MetricState DEP050 Value1D BaselineSettlement Note
DEP050 Banker (EZ Bar-7)45.9565% (-0.8249% EV)45.9595%DEP050 1D 60% (1 Rank-5)
DEP050 Player (1:1)44.5280% (-1.4285% EV)44.5249%DEP050 21-card 1D stub (0.9370 SD)
DEP050 Tie (8:1)9.5155% (-14.3602% EV)9.5156%DEP050 Rank-5 (3 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP050

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP050 · 1D)

Comparing DEP050 (60% 1D depth, 3 Rank-5 removed, 1 remaining in 21 cards) against fresh-shoe baselines shows how finite-stub variance (0.9370 SD) coexists with a 0.8249% EZ Baccarat Banker house edge.

  • DEP050 (1D 60%): 21/52 cards with 1/4 Rank-5 (3A).
  • DEP050 (Rank-5 split): 45.9565% Banker, 44.5280% Player, 9.5155% Tie in 21 1D cards (3B).
  • DEP050 (EZ Bar-7 EV): -0.8249% Banker, -1.4285% Player, -14.3602% Tie, 0.9370 SD at 60% (3C).
  • DEP050 (1D roads): red/blue marks log Big Road columns, never 1 Rank-5 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Five-Pip Card cards leave a 1D shoe by 60% depth (DEP050), 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 (1/4 in 21 cards); Banker carries a -0.8249% 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