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COMBINATORIAL DEPLETION · 1D · RANK-5 · 50% DEPTH

1-Deck Five-Pip Card Depletion at 50% Penetration (Super 6 Audit DEP049)

Removing 2 of 4 Five-Pip Card (Rank-5) cards at 50% penetration of a 1-deck (52-card) shoe leaves 2 Rank-5 cards inside a 26-card stub (DEP049), producing 45.9576% Banker wins, 44.5268% Player wins, 9.5156% Ties, and a 1.2623% Banker house edge under Super 6.

Banker EV (Super 6)
-1.2623%
Player EV (1:1)
-1.4307%
Rank-5 in 26-Card Stub
2/4
Single-Hand Std Dev
0.9360
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 DEP049 (1D Rank-5 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 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 (DEP049)
26 / 52 Cards

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

Rank-5 Remaining
2 of 4 Cards

2 5-pip cards (final mandatory Player draw threshold) removed from the 1D pack.

Banker EV (Super 6)
-1.2623%

Resolved at 45.9576% Banker win rate under Super 6 settlement.

Player EV (1:1)
-1.4307%

Resolved at 44.5268% Player win rate with 0.9360 unit standard deviation.

Tie Incidence (8:1)
9.5156%

Produces a 14.3600% house hold on the 8-to-1 Tie wager in state DEP049.

FINITE-SHOE ENUMERATION · DEP049

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

Card-removal benchmark DEP049 measures Five-Pip Card (Rank-5) scarcity at 50% depth in a 1-deck shoe: 2 removed ranks leave 2 in the 26-card remainder, shifting Banker win share to 45.9576% (1.2623% edge, Super 6).

Fewer 5s in the (DEP049-Rank-5) stub reduce Banker third-card improvements (26c) from 3 to 8 and (DEP049-Rank-5·26c) from 4 to 9. Because 2 of 4 Five-Pip Card cards are absent in DEP049 at 50% 1D penetration (26 cards left), per-card sensitivity (-0.84 bps) interacts directly with mid-shoe 50% penetration depth (DEP049) under Super 6 no-commission rules (Rank-5) (winning Banker 6 pays 0.50:1) (DEP049·Rank-5).

State DEP049 (1D, 50% depth, 2/4 Rank-5 left, Super 6)
Wager / MetricState DEP049 Value1D BaselineSettlement Note
DEP049 Banker (Super 6)45.9576% (-1.2623% EV)45.9595%DEP049 1D 50% (2 Rank-5)
DEP049 Player (1:1)44.5268% (-1.4307% EV)44.5249%DEP049 26-card 1D stub (0.9360 SD)
DEP049 Tie (8:1)9.5156% (-14.3600% EV)9.5156%DEP049 Rank-5 (2 out, 2 in)
TABLEAU & SCOREBOARD SEPARATION · DEP049

Third-Card Tableau Sensitivity vs Derived-Road Marks (DEP049 · 1D)

Even at 50% penetration in DEP049 where 2 Rank-5 cards have exited a 1D shoe (2 left in 26 cards), derived-road red and blue entries measure structural regularity on the Big Road—not whether Banker (-1.2623% EV, Super 6) or Player (-1.4307% EV) is favored next.

  • DEP049 (1D 50%): 26/52 cards with 2/4 Rank-5 (5A).
  • DEP049 (Rank-5 split): 45.9576% Banker, 44.5268% Player, 9.5156% Tie in 26 1D cards (5B).
  • DEP049 (Super 6 EV): -1.2623% Banker, -1.4307% Player, -14.3600% Tie, 0.9360 SD at 50% (5C).
  • DEP049 (1D roads): red/blue marks log Big Road columns, never 2 Rank-5 stub count (5D).
Table Reality Check

Myth vs. Truth

MythWhen 2 Five-Pip Card cards leave a 1D shoe by 50% depth (DEP049), 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-5 stub counts (2/4 in 26 cards); Banker carries a -1.2623% 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