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COMBINATORIAL DEPLETION · 1D · RANK-0 · 70% DEPTH

1-Deck 0-Value Tens & Faces Depletion at 70% Penetration (5% Audit DEP006)

Removing 13 of 16 0-Value Tens & Faces (Rank-0) cards at 70% penetration of a 1-deck (52-card) shoe leaves 3 Rank-0 cards inside a 16-card stub (DEP006), producing 45.9625% Banker wins, 44.5218% Player wins, 9.5158% Ties, and a 0.8574% Banker house edge under 5%.

Banker EV (5% Vig)
-0.8574%
Player EV (1:1)
-1.4407%
Rank-0 in 16-Card Stub
3/16
Single-Hand Std Dev
0.9365
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B B P P P B B P B P B P P
Big Eye Boy = ≠ ≠ = = = = ≠ ≠ ≠ ≠ ≠ = ≠
Small Road = ≠ ≠ = ≠ ≠ = = = ≠ ≠
Cockroach Pig = = ≠ = ≠ ≠ = =

Reference shoe scoreboard (PPBBBPPPBBPBTBPBPP) illustrating derived-road symmetry checks alongside DEP006 (1D Rank-0 at 70% 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

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 2 goes down to Row 3, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #2

This bead is at Row 3. Column 1 stopped at Row 2, one row above → blue (≠).

  1. Column 3 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 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 (DEP006)
16 / 52 Cards

70% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-0 Remaining
3 of 16 Cards

13 10, Jack, Queen, and King (zero-point cards) removed from the 1D pack.

Banker EV (5% Vig)
-0.8574%

Resolved at 45.9625% Banker win rate under 5% settlement.

Player EV (1:1)
-1.4407%

Resolved at 44.5218% Player win rate with 0.9365 unit standard deviation.

Tie Incidence (8:1)
9.5158%

Produces a 14.3581% house hold on the 8-to-1 Tie wager in state DEP006.

FINITE-SHOE ENUMERATION · DEP006

How 0-Value Tens & Faces Depletion at 70% Depth Impacts 1D (5% Vig)

Under 5% settlement (5% Vig), combinatorial state DEP006 models a 1D carrier with 16 cards left (70% dealt) and 3/16 0-Value Tens & Faces cards remaining, producing a 0.8574% Banker edge versus 1.4407% on Player.

Tracking DEP006 across 16 remaining 1D cards (70% depth) shows that fewer zero-value draws mean (dep006-rank-0) third-card pulls change running totals (16c) more frequently instead of leaving (dep006-rank-0·16c) totals unchanged. With 13 Rank-0 cards gone (+0.18 bps unit sensitivity), Banker expectation is -0.8574% (5% Vig) vs -1.4407% on Player.

State DEP006 (1D, 70% depth, 3/16 Rank-0 left, 5% Vig)
Wager / MetricState DEP006 Value1D BaselineSettlement Note
DEP006 Banker (5% Vig)45.9625% (-0.8574% EV)45.9595%DEP006 1D 70% (3 Rank-0)
DEP006 Player (1:1)44.5218% (-1.4407% EV)44.5249%DEP006 16-card 1D stub (0.9365 SD)
DEP006 Tie (8:1)9.5158% (-14.3581% EV)9.5156%DEP006 Rank-0 (13 out, 3 in)
TABLEAU & SCOREBOARD SEPARATION · DEP006

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP006 · 1D)

Cut-card protocol at 70% depth in DEP006 (1D, 16 stub cards containing 3 Rank-0 cards) ensures the shoe reshuffles long before 5% house hold (0.8574% Banker / 1.4407% Player) is overturned.

  • DEP006 (1D 70%): 16/52 cards with 3/16 Rank-0 (7A).
  • DEP006 (Rank-0 split): 45.9625% Banker, 44.5218% Player, 9.5158% Tie in 16 1D cards (7B).
  • DEP006 (5% Vig EV): -0.8574% Banker, -1.4407% Player, -14.3581% Tie, 0.9365 SD at 70% (7C).
  • DEP006 (1D roads): red/blue marks log Big Road columns, never 3 Rank-0 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 13 0-Value Tens & Faces cards leave a 1D shoe by 70% depth (DEP006), 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-0 stub counts (3/16 in 16 cards); Banker carries a -0.8574% expectation under 5%.
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