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COMBINATORIAL DEPLETION · 1D · ACE-1 · 50% DEPTH

1-Deck Ace (1-Point Pip) Depletion at 50% Penetration (Super 6 Audit DEP013)

Removing 2 of 4 Ace (1-Point Pip) (Ace-1) cards at 50% penetration of a 1-deck (52-card) shoe leaves 2 Ace-1 cards inside a 26-card stub (DEP013), producing 45.9605% Banker wins, 44.5239% Player wins, 9.5156% Ties, and a 1.2564% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2564%
Player EV (1:1)
-1.4366%
Ace-1 in 26-Card Stub
2/4
Single-Hand Std Dev
0.9348
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBPBBPPBPBBPPBP) illustrating derived-road symmetry checks alongside DEP013 (1D Ace-1 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

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP013)
26 / 52 Cards

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

Ace-1 Remaining
2 of 4 Cards

2 Ace cards valued at 1 modulo-10 point removed from the 1D pack.

Banker EV (Super 6)
-1.2564%

Resolved at 45.9605% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4366%

Resolved at 44.5239% Player win rate with 0.9348 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3594% house hold on the 8-to-1 Tie wager in state DEP013.

FINITE-SHOE ENUMERATION · DEP013

How Ace (1-Point Pip) Depletion at 50% Depth Impacts 1D (Super 6)

Shoe-stub analysis DEP013 inspects 26 remaining cards at 50% penetration of a 52-card (1D) pack after 2 Ace (1-Point Pip) cards have cleared, leaving 2 Ace-1 cards and a 1.2564% Super 6 Banker edge.

Comparing initial 52-card 1D weights against stub DEP013 (26 cards, 50% depth, 2 Ace-1 left) illustrates how removing aces slightly favors (dep013) banker because banker stands on (1d-50%) 6 against player third-card ace (dep013·1d-50%) while player must draw on 0–5 (+0.44 bps slope, 1.2564% Super 6 edge).

State DEP013 (1D, 50% depth, 2/4 Ace-1 left, Super 6)
Wager / MetricState DEP013 Value1D BaselineSettlement Note
DEP013 Banker (Super 6)45.9605% (-1.2564% EV)45.9595%DEP013 1D 50% (2 Ace-1)
DEP013 Player (1:1)44.5239% (-1.4366% EV)44.5249%DEP013 26-card 1D stub (0.9348 SD)
DEP013 Tie (8:1)9.5156% (-14.3594% EV)9.5156%DEP013 Ace-1 (2 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP013

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP013 · 1D)

Learners auditing DEP013 (1D at 50% depth, 2/4 Ace-1 in 26 stub cards) can verify that Super 6 house hold (1.2564% Banker, 1.4366% Player, 14.3594% Tie) operates independently of prior Big Road streaks.

  • DEP013 (1D 50%): 26/52 cards with 2/4 Ace-1 (7A).
  • DEP013 (Ace-1 split): 45.9605% Banker, 44.5239% Player, 9.5156% Tie in 26 1D cards (7B).
  • DEP013 (Super 6 EV): -1.2564% Banker, -1.4366% Player, -14.3594% Tie, 0.9348 SD at 50% (7C).
  • DEP013 (1D roads): red/blue marks log Big Road columns, never 2 Ace-1 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 2 Ace (1-Point Pip) cards leave a 1D shoe by 50% depth (DEP013), 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 Ace-1 stub counts (2/4 in 26 cards); Banker carries a -1.2564% expectation under Super 6.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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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