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COMBINATORIAL DEPLETION · 1D · RANK-5 · 80% DEPTH

1-Deck Five-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP053)

Removing 3 of 4 Five-Pip Card (Rank-5) cards at 80% penetration of a 1-deck (52-card) shoe leaves 1 Rank-5 cards inside a 10-card stub (DEP053), producing 45.9561% Banker wins, 44.5283% Player wins, 9.5155% Ties, and a 1.2652% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2652%
Player EV (1:1)
-1.4278%
Rank-5 in 10-Card Stub
1/4
Single-Hand Std Dev
0.9390
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPPBBBPPBPTBPBBP) illustrating derived-road symmetry checks alongside DEP053 (1D Rank-5 at 80% 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 (DEP053)
10 / 52 Cards

80% 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 (Super 6)
-1.2652%

Resolved at 45.9561% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4278%

Resolved at 44.5283% Player win rate with 0.9390 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP053.

FINITE-SHOE ENUMERATION · DEP053

How Five-Pip Card Depletion at 80% Depth Impacts 1D (Super 6)

Removing 3 of 4 Rank-5 cards by the 80% mark of a 1-deck shoe (DEP053, 10 cards left) leaves 1 Five-Pip Card cards and adjusts conditional probabilities to 45.9561% Banker, 44.5283% Player, and 9.5155% Tie under Super 6.

Tracking DEP053 across 10 remaining 1D cards (80% depth) shows that fewer 5s in the (dep053-rank-5) stub reduce banker third-card improvements (10c) from 3 to 8 and (dep053-rank-5·10c) from 4 to 9. With 3 Rank-5 cards gone (-0.84 bps unit sensitivity), Banker expectation is -1.2652% (Super 6) vs -1.4278% on Player.

State DEP053 (1D, 80% depth, 1/4 Rank-5 left, Super 6)
Wager / MetricState DEP053 Value1D BaselineSettlement Note
DEP053 Banker (Super 6)45.9561% (-1.2652% EV)45.9595%DEP053 1D 80% (1 Rank-5)
DEP053 Player (1:1)44.5283% (-1.4278% EV)44.5249%DEP053 10-card 1D stub (0.9390 SD)
DEP053 Tie (8:1)9.5155% (-14.3603% EV)9.5156%DEP053 Rank-5 (3 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP053

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP053 · 1D)

Whether DEP053 is observed in single-deck laboratory benchmarks and historical pitch audits at 80% depth (10/52 cards left, 1 Rank-5 remaining), Super 6 settlement locks Banker EV at -1.2652% and Player EV at -1.4278% with 9.5155% Ties.

  • DEP053 (1D 80%): 10/52 cards with 1/4 Rank-5 (4A).
  • DEP053 (Rank-5 split): 45.9561% Banker, 44.5283% Player, 9.5155% Tie in 10 1D cards (4B).
  • DEP053 (Super 6 EV): -1.2652% Banker, -1.4278% Player, -14.3603% Tie, 0.9390 SD at 80% (4C).
  • DEP053 (1D roads): red/blue marks log Big Road columns, never 1 Rank-5 stub count (4D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Five-Pip Card cards leave a 1D shoe by 80% depth (DEP053), 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 10 cards); Banker carries a -1.2652% expectation under Super 6.
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