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COMBINATORIAL DEPLETION · 1D · RANK-7 · 80% DEPTH

1-Deck Seven-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP071)

Removing 3 of 4 Seven-Pip Card (Rank-7) cards at 80% penetration of a 1-deck (52-card) shoe leaves 1 Rank-7 cards inside a 10-card stub (DEP071), producing 45.9562% Banker wins, 44.5283% Player wins, 9.5155% Ties, and a 1.2651% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2651%
Player EV (1:1)
-1.4279%
Rank-7 in 10-Card Stub
1/4
Single-Hand Std Dev
0.9396
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 B P B P P B B P P B P
Big Eye Boy = = = = ≠ = = = ≠ ≠ = = = = ≠
Small Road = = ≠ ≠ = = ≠ ≠ ≠ ≠ = = ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ ≠

Reference shoe scoreboard (BBPPBBPBPBPPBBPPBP) illustrating derived-road symmetry checks alongside DEP071 (1D Rank-7 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 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

Stub Size (DEP071)
10 / 52 Cards

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

Rank-7 Remaining
1 of 4 Cards

3 7-pip cards (Player stand total and Dragon 7 boundary) removed from the 1D pack.

Banker EV (Super 6)
-1.2651%

Resolved at 45.9562% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4279%

Resolved at 44.5283% Player win rate with 0.9396 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP071.

FINITE-SHOE ENUMERATION · DEP071

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

Audit DEP071 evaluates a 1-deck (52-card) shoe at 80% penetration where 3 of 4 Seven-Pip Card cards have exited, leaving 1 Rank-7 cards inside the 10-card stub with Banker EV at -1.2651% under Super 6.

Depleting 7s lowers the (DEP071-Rank-7) rate of winning three-card Banker (10c) 7 hands (the barred push (DEP071-Rank-7·10c) total on EZ Baccarat tables). Because 3 of 4 Seven-Pip Card cards are absent in DEP071 at 80% 1D penetration (10 cards left), per-card sensitivity (-0.83 bps) interacts directly with deep-shoe 80% penetration depth (DEP071) under Super 6 no-commission rules (Rank-7) (winning Banker 6 pays 1:2) (DEP071·Rank-7).

State DEP071 (1D, 80% depth, 1/4 Rank-7 left, Super 6)
Wager / MetricState DEP071 Value1D BaselineSettlement Note
DEP071 Banker (Super 6)45.9562% (-1.2651% EV)45.9595%DEP071 1D 80% (1 Rank-7)
DEP071 Player (1:1)44.5283% (-1.4279% EV)44.5249%DEP071 10-card 1D stub (0.9396 SD)
DEP071 Tie (8:1)9.5155% (-14.3603% EV)9.5156%DEP071 Rank-7 (3 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP071

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP071 · 1D)

While DEP071 tracks 3 removed Seven-Pip Card cards across 80% of a 52-card (1D) shoe (10 remaining, 1.2651% Super 6 edge), Big Eye Boy (lookback 1), Small Road (lookback 2), and Cockroach Pig (lookback 3) evaluate only Big Road column shapes.

  • DEP071 (1D 80%): 10/52 cards with 1/4 Rank-7 (3A).
  • DEP071 (Rank-7 split): 45.9562% Banker, 44.5283% Player, 9.5155% Tie in 10 1D cards (3B).
  • DEP071 (Super 6 EV): -1.2651% Banker, -1.4279% Player, -14.3603% Tie, 0.9396 SD at 80% (3C).
  • DEP071 (1D roads): red/blue marks log Big Road columns, never 1 Rank-7 stub count (3D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Seven-Pip Card cards leave a 1D shoe by 80% depth (DEP071), 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-7 stub counts (1/4 in 10 cards); Banker carries a -1.2651% 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