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COMBINATORIAL DEPLETION · 6D · RANK-5 · 60% DEPTH

6-Deck Five-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP320)

Removing 17 of 24 Five-Pip Card (Rank-5) cards at 60% penetration of a 6-deck (312-card) shoe leaves 7 Rank-5 cards inside a 125-card stub (DEP320), producing 45.8619% Banker wins, 44.5932% Player wins, 9.5448% Ties, and a 0.9847% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9847%
Player EV (1:1)
-1.2687%
Rank-5 in 125-Card Stub
7/24
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
Big Eye Boy = = = = = = ≠ ≠ ≠ ≠ = = = =
Small Road = = = = = = ≠ = = = = =
Cockroach Pig = = = = = = ≠ = = ≠

Reference shoe scoreboard (PPBBPPBBPPBBPBTBPB) illustrating derived-road symmetry checks alongside DEP320 (6D 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 (DEP320)
125 / 312 Cards

60% penetration depth in 6D (six-deck Mini-Baccarat and Midi-Baccarat North American floors).

Rank-5 Remaining
7 of 24 Cards

17 5-pip cards (final mandatory Player draw threshold) removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9847%

Resolved at 45.8619% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2687%

Resolved at 44.5932% Player win rate with 0.9370 unit standard deviation.

Tie Incidence (8:1)
9.5448%

Produces a 14.0965% house hold on the 8-to-1 Tie wager in state DEP320.

FINITE-SHOE ENUMERATION · DEP320

How Five-Pip Card Depletion at 60% Depth Impacts 6D (EZ Bar-7)

Exact conditional enumeration DEP320 for a 6D shoe at 60% depth (125/312 cards undealt) with 7 remaining Rank-5 cards confirms a 0.9847% Banker edge (EZ Bar-7), 1.2687% Player edge, and 14.0965% Tie edge.

Comparing initial 312-card 6D weights against stub DEP320 (125 cards, 60% depth, 7 Rank-5 left) illustrates how because player draws on (dep320) two-card 5 and stands on (6d-60%) 6, while banker 3, 4, (dep320·6d-60%) and 5 all draw against a player third-card 5, rank 5 favors player when depleted (-0.84 bps slope, 0.9847% EZ Bar-7 edge).

State DEP320 (6D, 60% depth, 7/24 Rank-5 left, EZ Bar-7)
Wager / MetricState DEP320 Value6D BaselineSettlement Note
DEP320 Banker (EZ Bar-7)45.8619% (-0.9847% EV)45.8648%DEP320 6D 60% (7 Rank-5)
DEP320 Player (1:1)44.5932% (-1.2687% EV)44.5903%DEP320 125-card 6D stub (0.9370 SD)
DEP320 Tie (8:1)9.5448% (-14.0965% EV)9.5449%DEP320 Rank-5 (17 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP320

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP320 · 6D)

While DEP320 tracks 17 removed Five-Pip Card cards across 60% of a 312-card (6D) shoe (125 remaining, 0.9847% EZ Bar-7 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP320 (6D 60%): 125/312 cards with 7/24 Rank-5 (2A).
  • DEP320 (Rank-5 split): 45.8619% Banker, 44.5932% Player, 9.5448% Tie in 125 6D cards (2B).
  • DEP320 (EZ Bar-7 EV): -0.9847% Banker, -1.2687% Player, -14.0965% Tie, 0.9370 SD at 60% (2C).
  • DEP320 (6D roads): red/blue marks log Big Road columns, never 7 Rank-5 stub count (2D).
Table Reality Check

Myth vs. Truth

MythWhen 17 Five-Pip Card cards leave a 6D shoe by 60% depth (DEP320), 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 (7/24 in 125 cards); Banker carries a -0.9847% 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