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COMBINATORIAL DEPLETION · 1D · RANK-6 · 80% DEPTH

1-Deck Six-Pip Card Depletion at 80% Penetration (Super 6 Audit DEP062)

Removing 3 of 4 Six-Pip Card (Rank-6) cards at 80% penetration of a 1-deck (52-card) shoe leaves 1 Rank-6 cards inside a 10-card stub (DEP062), producing 45.9550% Banker wins, 44.5295% Player wins, 9.5155% Ties, and a 1.2675% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2675%
Player EV (1:1)
-1.4255%
Rank-6 in 10-Card Stub
1/4
Single-Hand Std Dev
0.9393
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 P B B P B
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ = ≠ ≠ = = ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠ ≠
Cockroach Pig ≠ = = ≠ ≠ = ≠ = = ≠ ≠ =

Reference shoe scoreboard (PPBBPBPPBBPBPPBBPB) illustrating derived-road symmetry checks alongside DEP062 (1D Rank-6 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 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 (DEP062)
10 / 52 Cards

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

Rank-6 Remaining
1 of 4 Cards

3 6-pip cards (standing threshold and Banker 6 trigger) removed from the 1D pack.

Banker EV (Super 6)
-1.2675%

Resolved at 45.9550% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4255%

Resolved at 44.5295% Player win rate with 0.9393 unit standard deviation.

Tie Incidence (8:1)
9.5155%

Produces a 14.3603% house hold on the 8-to-1 Tie wager in state DEP062.

FINITE-SHOE ENUMERATION · DEP062

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

Under Super 6 settlement (Super 6), combinatorial state DEP062 models a 1D carrier with 10 cards left (80% dealt) and 1/4 Six-Pip Card cards remaining, producing a 1.2675% Banker edge versus 1.4255% on Player.

In 1D audit DEP062 (10/52 stub at 80% depth), removing 6-pip cards produces (dep062-rank-6) the strongest per-card shift toward (10c) the player side and reduces (dep062-rank-6·10c) barred banker 6 incidence. Removing 3 Rank-6 cards (-1.13 bps per card) alongside Super 6 rules sets Tie hold to 14.3603% (9.5155% frequency).

State DEP062 (1D, 80% depth, 1/4 Rank-6 left, Super 6)
Wager / MetricState DEP062 Value1D BaselineSettlement Note
DEP062 Banker (Super 6)45.9550% (-1.2675% EV)45.9595%DEP062 1D 80% (1 Rank-6)
DEP062 Player (1:1)44.5295% (-1.4255% EV)44.5249%DEP062 10-card 1D stub (0.9393 SD)
DEP062 Tie (8:1)9.5155% (-14.3603% EV)9.5156%DEP062 Rank-6 (3 out, 1 in)
TABLEAU & SCOREBOARD SEPARATION · DEP062

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP062 · 1D)

In studio and floor audits of DEP062 (10 cards undealt out of 52 in 1D at 80% depth), a 0.9393 unit standard deviation accompanies the 1-card Rank-6 stub under Super 6 (45.9550% Banker vs 44.5295% Player).

  • DEP062 (1D 80%): 10/52 cards with 1/4 Rank-6 (7A).
  • DEP062 (Rank-6 split): 45.9550% Banker, 44.5295% Player, 9.5155% Tie in 10 1D cards (7B).
  • DEP062 (Super 6 EV): -1.2675% Banker, -1.4255% Player, -14.3603% Tie, 0.9393 SD at 80% (7C).
  • DEP062 (1D roads): red/blue marks log Big Road columns, never 1 Rank-6 stub count (7D).
Table Reality Check

Myth vs. Truth

MythWhen 3 Six-Pip Card cards leave a 1D shoe by 80% depth (DEP062), 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 (1/4 in 10 cards); Banker carries a -1.2675% expectation under Super 6.
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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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