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COMBINATORIAL DEPLETION · 1D · RANK-6 · 70% DEPTH

1-Deck Six-Pip Card Depletion at 70% Penetration (5% Audit DEP060)

Removing 3 of 4 Six-Pip Card (Rank-6) cards at 70% penetration of a 1-deck (52-card) shoe leaves 1 Rank-6 cards inside a 16-card stub (DEP060), producing 45.9552% Banker wins, 44.5293% Player wins, 9.5155% Ties, and a 0.8718% Banker house edge under 5%.

Banker EV (5% Vig)
-0.8718%
Player EV (1:1)
-1.4259%
Rank-6 in 16-Card Stub
1/4
Single-Hand Std Dev
0.9383
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (PPBBPPPPBBBBPPBBPB) illustrating derived-road symmetry checks alongside DEP060 (1D Rank-6 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

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 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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP060)
16 / 52 Cards

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

Rank-6 Remaining
1 of 4 Cards

3 6-pip cards (standing threshold and Banker 6 trigger) removed from the 1D pack.

Banker EV (5% Vig)
-0.8718%

Resolved at 45.9552% Banker win rate under 5% settlement.

Player EV (1:1)
-1.4259%

Resolved at 44.5293% Player win rate with 0.9383 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP060.

FINITE-SHOE ENUMERATION · DEP060

How Six-Pip Card Depletion at 70% Depth Impacts 1D (5% Vig)

Finite-shoe specification DEP060 tracks Rank-6 removal at 70% depth in 1-deck play: with 1 of 4 Six-Pip Card cards left in the 16-card stub, Tie incidence is 9.5155% and Banker expectation settles at -0.8718% (5% Vig).

Removing 6-pip cards produces (DEP060-Rank-6) the strongest per-card shift toward (16c) the Player side and reduces (DEP060-Rank-6·16c) barred Banker 6 incidence. Because 3 of 4 Six-Pip Card cards are absent in DEP060 at 70% 1D penetration (16 cards left), per-card sensitivity (-1.13 bps) interacts directly with late-shoe 70% penetration depth (DEP060) under standard 5% Banker commission (Rank-6) (0.95:1 payout).

State DEP060 (1D, 70% depth, 1/4 Rank-6 left, 5% Vig)
Wager / MetricState DEP060 Value1D BaselineSettlement Note
DEP060 Banker (5% Vig)45.9552% (-0.8718% EV)45.9595%DEP060 1D 70% (1 Rank-6)
DEP060 Player (1:1)44.5293% (-1.4259% EV)44.5249%DEP060 16-card 1D stub (0.9383 SD)
DEP060 Tie (8:1)9.5155% (-14.3603% EV)9.5156%DEP060 Rank-6 (3 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP060

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP060 · 1D)

Across 100-hand session horizons at state DEP060 (1D 70% depth, 1/4 Rank-6 in 16 cards), single-hand dispersion (0.9383 SD) dominates the 0.8718% (5% Vig) Banker and 1.4259% Player expectation gap.

  • DEP060 (1D 70%): 16/52 cards with 1/4 Rank-6 (4A).
  • DEP060 (Rank-6 split): 45.9552% Banker, 44.5293% Player, 9.5155% Tie in 16 1D cards (4B).
  • DEP060 (5% Vig EV): -0.8718% Banker, -1.4259% Player, -14.3603% Tie, 0.9383 SD at 70% (4C).
  • DEP060 (1D roads): red/blue marks log Big Road columns, never 1 Rank-6 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Six-Pip Card cards leave a 1D shoe by 70% depth (DEP060), 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-6 stub counts (1/4 in 16 cards); Banker carries a -0.8718% 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