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COMBINATORIAL DEPLETION · 6D · RANK-9 · 60% DEPTH

6-Deck Nine-Pip Card Depletion at 60% Penetration (EZ Baccarat Audit DEP356)

Removing 17 of 24 Nine-Pip Card (Rank-9) cards at 60% penetration of a 6-deck (312-card) shoe leaves 7 Rank-9 cards inside a 125-card stub (DEP356), producing 45.8640% Banker wins, 44.5911% Player wins, 9.5449% Ties, and a 0.9805% Banker house edge under EZ Baccarat.

Banker EV (EZ Bar-7)
-0.9805%
Player EV (1:1)
-1.2729%
Rank-9 in 125-Card Stub
7/24
Single-Hand Std Dev
0.9382
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 B P P B B P B P B P P
Big Eye Boy = = ≠ = = = ≠ ≠ = = ≠ = = = ≠
Small Road ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ = ≠

Reference shoe scoreboard (PPBBPBPBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP356 (6D Rank-9 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 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

Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP356)
125 / 312 Cards

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

Rank-9 Remaining
7 of 24 Cards

17 9-pip cards (top Natural 9 generator) removed from the 6D pack.

Banker EV (EZ Bar-7)
-0.9805%

Resolved at 45.8640% Banker win rate under EZ Baccarat settlement.

Player EV (1:1)
-1.2729%

Resolved at 44.5911% Player win rate with 0.9382 unit standard deviation.

Tie Incidence (8:1)
9.5449%

Produces a 14.0962% house hold on the 8-to-1 Tie wager in state DEP356.

FINITE-SHOE ENUMERATION · DEP356

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

Under EZ Baccarat settlement (EZ Bar-7), combinatorial state DEP356 models a 6D carrier with 125 cards left (60% dealt) and 7/24 Nine-Pip Card cards remaining, producing a 0.9805% Banker edge versus 1.2729% on Player.

When 9s are depleted (DEP356-Rank-9) late in the shoe, more (125c) hands bypass four-card natural resolution (DEP356-Rank-9·125c) and enter the five- and six-card tableau. Because 17 of 24 Nine-Pip Card cards are absent in DEP356 at 60% 6D penetration (125 cards left), per-card sensitivity (-0.23 bps) interacts directly with post-midpoint 60% penetration depth (DEP356) under EZ Baccarat barred 3-card (Rank-9) Banker 7 rules.

State DEP356 (6D, 60% depth, 7/24 Rank-9 left, EZ Bar-7)
Wager / MetricState DEP356 Value6D BaselineSettlement Note
DEP356 Banker (EZ Bar-7)45.8640% (-0.9805% EV)45.8648%DEP356 6D 60% (7 Rank-9)
DEP356 Player (1:1)44.5911% (-1.2729% EV)44.5903%DEP356 125-card 6D stub (0.9382 SD)
DEP356 Tie (8:1)9.5449% (-14.0962% EV)9.5449%DEP356 Rank-9 (17 out, 7 in)
TABLEAU & SCOREBOARD SEPARATION · DEP356

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP356 · 6D)

On the electronic scoreboard for DEP356 (6D, 60% depth, 125 cards left), Bead Plate and Big Road circles record Banker (45.8640%) and Player (44.5911%) outcomes, whereas Big Eye Boy, Small Road, and Cockroach Pig marks reflect column symmetry rather than Rank-9 card counts (7/24).

  • DEP356 (6D 60%): 125/312 cards with 7/24 Rank-9 (7A).
  • DEP356 (Rank-9 split): 45.8640% Banker, 44.5911% Player, 9.5449% Tie in 125 6D cards (7B).
  • DEP356 (EZ Bar-7 EV): -0.9805% Banker, -1.2729% Player, -14.0962% Tie, 0.9382 SD at 60% (7C).
  • DEP356 (6D roads): red/blue marks log Big Road columns, never 7 Rank-9 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 17 Nine-Pip Card cards leave a 6D shoe by 60% depth (DEP356), 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-9 stub counts (7/24 in 125 cards); Banker carries a -0.9805% 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