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COMBINATORIAL DEPLETION · 1D · RANK-6 · 50% DEPTH

1-Deck Six-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP058)

Removing 2 of 4 Six-Pip Card (Rank-6) cards at 50% penetration of a 1-deck (52-card) shoe leaves 2 Rank-6 cards inside a 26-card stub (DEP058), producing 45.9569% Banker wins, 44.5275% Player wins, 9.5156% Ties, and a 1.2636% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2636%
Player EV (1:1)
-1.4294%
Rank-6 in 26-Card Stub
2/4
Single-Hand Std Dev
0.9363
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 P B B P B P B P P
Big Eye Boy = = ≠ ≠ ≠ = = = = ≠ = = = ≠
Small Road ≠ = = ≠ ≠ = = ≠ ≠ = = ≠
Cockroach Pig = = = = ≠ ≠ ≠ ≠ ≠ = ≠

Reference shoe scoreboard (PPBBPBTBPPBBPBPBPP) illustrating derived-road symmetry checks alongside DEP058 (1D Rank-6 at 50% 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 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 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 (DEP058)
26 / 52 Cards

50% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Rank-6 Remaining
2 of 4 Cards

2 6-pip cards (standing threshold and Banker 6 trigger) removed from the 1D pack.

Banker EV (Super 6)
-1.2636%

Resolved at 45.9569% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4294%

Resolved at 44.5275% Player win rate with 0.9363 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP058.

FINITE-SHOE ENUMERATION · DEP058

How Six-Pip Card Depletion at 50% Depth Impacts 1D (Super 6)

In combinatorial record DEP058, depleting 2 Rank-6 cards across 50% of a 1D (52-card) pack leaves 2 Six-Pip Card cards among 26 remaining cards, setting Banker win probability to 45.9569% and house edge to 1.2636% (Super 6).

In six-card resolution tree DEP058 (1D at 50% depth, 26 cards left), removing 6-pip cards produces (dep058-rank-6) the strongest per-card shift toward (26c) the player side and reduces (dep058-rank-6·26c) barred banker 6 incidence; removing 2 of 4 Rank-6 cards (-1.13 bps weight) leaves Banker at -1.2636% EV under Super 6.

State DEP058 (1D, 50% depth, 2/4 Rank-6 left, Super 6)
Wager / MetricState DEP058 Value1D BaselineSettlement Note
DEP058 Banker (Super 6)45.9569% (-1.2636% EV)45.9595%DEP058 1D 50% (2 Rank-6)
DEP058 Player (1:1)44.5275% (-1.4294% EV)44.5249%DEP058 26-card 1D stub (0.9363 SD)
DEP058 Tie (8:1)9.5156% (-14.3600% EV)9.5156%DEP058 Rank-6 (2 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP058

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP058 · 1D)

Synthesizing DEP058 (1D at 50% depth, 2 Six-Pip Card cards left inside 26 stub cards): Super 6 rules produce a 1.2636% Banker edge, 1.4294% Player edge, 14.3600% Tie edge, and 0.9363 unit volatility.

  • DEP058 (1D 50%): 26/52 cards with 2/4 Rank-6 (1A).
  • DEP058 (Rank-6 split): 45.9569% Banker, 44.5275% Player, 9.5156% Tie in 26 1D cards (1B).
  • DEP058 (Super 6 EV): -1.2636% Banker, -1.4294% Player, -14.3600% Tie, 0.9363 SD at 50% (1C).
  • DEP058 (1D roads): red/blue marks log Big Road columns, never 2 Rank-6 stub count (1D).
Table Reality Check

Myth vs. Truth

MythWhen 2 Six-Pip Card cards leave a 1D shoe by 50% depth (DEP058), 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 (2/4 in 26 cards); Banker carries a -1.2636% expectation under Super 6.
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  • 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