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SHOE PENETRATION & DEPLETION [DEP038] · 55% DEPTH

Six (6) Depletion at 229/416 Cards (55%): B3 vs P3=8 Shade Impact #38

In shoe-depletion analysis DEP038, 229 of 416 cards (55%) have exited the shoe, leaving 11 copies of Six (6) among 187 unseen cards (5.88% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by 30 bps.

DEP038 Shoe Depth
229/416 (55%)
DEP038 6 Density
11/187 (5.88%)
DEP038 Draw Delta
30 bps
DEP038 Tableau Gate
B3vP8:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 55% shoe-penetration state DEP038 (Six (6) -> 11/187).

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 #3

Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

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

DEP038 Penetration Depth
229 Dealt / 187 Remaining (55%)

Evaluated at Mid-Shoe Crossover (4.4 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP038 Rank 6 Supply
11 of 32 Remaining (5.88%)

Compares depleted density 5.88% against fresh 8-deck baseline 7.69% for Six (6).

DEP038 Player Draw vs Banker Stand Shift
P-Draw 30 bps / B-Stand -28 bps

Net basis-point movement in Player 0..5 fifth-card drawing vs Banker standing frequency.

DEP038 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP038 Sample Coup Resolution
P(7+4)+8=9 vs B(10+3)=3 (P)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP038.

COMBINATORIAL DEPLETION · DEP038

How Removing Six (6) at 229 Cards Affects B3 vs P3=8 Shade (DEP038)

In depletion audit [DEP038], an 8-deck shoe reaches Mid-Shoe Crossover (4.4 decks dealt) with 187 cards left and 11 copies of Six (6) (5.88% vs 7.69%), directly shifting the Banker 3 standing exception on Player third-card 8.

[DEP038-B] With Six (6) valued at 6 mod 10, its removal moves Player fifth-card draw entry by 30 bps and Banker pat rate by -28 bps; yet inside cell (B=3, P3=8), Banker deterministically stands pat on five cards.

Depletion Matrix for DEP038 (Six (6) at 229/416 Cards)
DEP038 MetricDEP038 Fresh 416-ShoeDEP038 At 229 DealtDEP038 Tableau Effect
[DEP038:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP038:Rank]32/416 (7.69%)11/187 (5.88%)Point Value 6
[DEP038:Shift]Baseline Draw/StandP 30 bps / B -28 bpsB3 vs P3=8 Shade
[DEP038:Hand]P=1 vs B=3, P3=8P=9 vs B=35c (P)
  • [DEP038-1] Verify [DEP038] 187 unseen cards remain after 229/416 exit.
  • [DEP038-2] Compare [DEP038] Six (6) density (11/187=5.88%) vs 7.69%.
  • [DEP038-3] Apply [DEP038] BANKER_TABLEAU[3][8]=false (5c P).
INDEPENDENCE & ROAD LOGGING · DEP038

Why DEP038 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP038-C4] Auditioning [DEP038] at depth, Player opens 1 + 8 -> 9 while Banker opens 3 -> 3 across 5c (P in [DEP038]). Across [DEP038] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP038] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Six (6) is depleted to 11/187 in DEP038, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP038 makes Red on Big Eye Boy mean Banker.
TruthOn Big Eye Boy, Small Road, and Cockroach Pig, Red (=) always signals repeating Big Road structure and Blue (≠) signals a break.
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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
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