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COMBINATORIAL DEPLETION · 1D · ACE-1 · 80% DEPTH

1-Deck Ace (1-Point Pip) Depletion at 80% Penetration (Super 6 Audit DEP017)

Removing 3 of 4 Ace (1-Point Pip) (Ace-1) cards at 80% penetration of a 1-deck (52-card) shoe leaves 1 Ace-1 cards inside a 10-card stub (DEP017), producing 45.9613% Banker wins, 44.5231% Player wins, 9.5156% Ties, and a 1.2548% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2548%
Player EV (1:1)
-1.4382%
Ace-1 in 10-Card Stub
1/4
Single-Hand Std Dev
0.9378
Engine-Verified Scoreboard · 18 Hands

Read the Board at Table Speed

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

Reference shoe scoreboard (BBPPBBPPBPTBPBBPBP) illustrating derived-road symmetry checks alongside DEP017 (1D Ace-1 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

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 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 1, 2 columns further back.
  2. Column 3 has 2 beads. Column 1 has 2 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 1.

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 (DEP017)
10 / 52 Cards

80% penetration depth in 1D (single-deck laboratory benchmarks and historical pitch audits).

Ace-1 Remaining
1 of 4 Cards

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

Banker EV (Super 6)
-1.2548%

Resolved at 45.9613% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4382%

Resolved at 44.5231% Player win rate with 0.9378 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3592% house hold on the 8-to-1 Tie wager in state DEP017.

FINITE-SHOE ENUMERATION · DEP017

How Ace (1-Point Pip) Depletion at 80% Depth Impacts 1D (Super 6)

When a 1D shoe reaches 80% cut-card depth (10 of 52 cards undealt, state DEP017) with 3 Ace (1-Point Pip) cards removed and 1 remaining, Player wins 44.5231% (1.4382% edge) while Banker wins 45.9613% (1.2548% edge under Super 6).

Tracking DEP017 across 10 remaining 1D cards (80% depth) shows that when fewer aces remain, (dep017-ace-1) player 7 and 8 third-card (10c) transitions from 6 and 7 (dep017-ace-1·10c) occur less often during six-card resolutions. With 3 Ace-1 cards gone (+0.44 bps unit sensitivity), Banker expectation is -1.2548% (Super 6) vs -1.4382% on Player.

State DEP017 (1D, 80% depth, 1/4 Ace-1 left, Super 6)
Wager / MetricState DEP017 Value1D BaselineSettlement Note
DEP017 Banker (Super 6)45.9613% (-1.2548% EV)45.9595%DEP017 1D 80% (1 Ace-1)
DEP017 Player (1:1)44.5231% (-1.4382% EV)44.5249%DEP017 10-card 1D stub (0.9378 SD)
DEP017 Tie (8:1)9.5156% (-14.3592% EV)9.5156%DEP017 Ace-1 (3 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP017

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP017 · 1D)

In studio and floor audits of DEP017 (10 cards undealt out of 52 in 1D at 80% depth), a 0.9378 unit standard deviation accompanies the 1-card Ace-1 stub under Super 6 (45.9613% Banker vs 44.5231% Player).

  • DEP017 (1D 80%): 10/52 cards with 1/4 Ace-1 (6A).
  • DEP017 (Ace-1 split): 45.9613% Banker, 44.5231% Player, 9.5156% Tie in 10 1D cards (6B).
  • DEP017 (Super 6 EV): -1.2548% Banker, -1.4382% Player, -14.3592% Tie, 0.9378 SD at 80% (6C).
  • DEP017 (1D roads): red/blue marks log Big Road columns, never 1 Ace-1 stub count (6D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Ace (1-Point Pip) cards leave a 1D shoe by 80% depth (DEP017), 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 (1/4 in 10 cards); Banker carries a -1.2548% 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