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SHOE PENETRATION & DEPLETION [DEP064] · 82% DEPTH

Four (4) Depletion at 341/416 Cards (82%): B3 vs P3=8 Shade Impact #64

In shoe-depletion analysis DEP064, 341 of 416 cards (82%) have exited the shoe, leaving 1 copies of Four (4) among 75 unseen cards (1.33% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -30 bps.

DEP064 Shoe Depth
341/416 (82%)
DEP064 4 Density
1/75 (1.33%)
DEP064 Draw Delta
-30 bps
DEP064 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 B P B P B B P P P B B B B P P
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard trajectory paired with 82% shoe-penetration state DEP064 (Four (4) -> 1/75).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column 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.

Small Road Mark #3

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 #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP064 Penetration Depth
341 Dealt / 75 Remaining (82%)

Evaluated at Pre-Cut-Card Tail (6.5 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP064 Rank 4 Supply
1 of 32 Remaining (1.33%)

Compares depleted density 1.33% against fresh 8-deck baseline 7.69% for Four (4).

DEP064 Player Draw vs Banker Stand Shift
P-Draw -30 bps / B-Stand 30 bps

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

DEP064 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

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

DEP064 Sample Coup Resolution
P(9+4)+8=1 vs B(10+3)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP064.

COMBINATORIAL DEPLETION · DEP064

How Removing Four (4) at 341 Cards Affects B3 vs P3=8 Shade (DEP064)

When shoe [DEP064] advances to 341 cards (82% depth), Four (4) supply drops from 32/416 (7.69%) to 1/75 (1.33%), nudging the Banker 3 standing exception on Player third-card 8.

[DEP064-B] Since Four (4) contributes 4 points, scarcity in [DEP064] moves Player draw probability by -30 bps and Banker stand probability by 30 bps without ever changing BANKER_TABLEAU[3][8] (stands pat on five cards).

Depletion Matrix for DEP064 (Four (4) at 341/416 Cards)
DEP064 MetricDEP064 Fresh 416-ShoeDEP064 At 341 DealtDEP064 Tableau Effect
[DEP064:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP064:Rank]32/416 (7.69%)1/75 (1.33%)Point Value 4
[DEP064:Shift]Baseline Draw/StandP -30 bps / B 30 bpsB3 vs P3=8 Shade
[DEP064:Hand]P=3 vs B=3, P3=8P=1 vs B=35c (B)
  • [DEP064-1] Verify [DEP064] 75 unseen cards remain after 341/416 exit.
  • [DEP064-2] Compare [DEP064] Four (4) density (1/75=1.33%) vs 7.69%.
  • [DEP064-3] Apply [DEP064] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP064

Why DEP064 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP064-C4] Auditioning [DEP064] at depth, Player opens 3 + 8 -> 1 while Banker opens 3 -> 3 across 5c (B in [DEP064]). Across [DEP064] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP064] BBPPBBPBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Four (4) is depleted to 1/75 in DEP064, 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 341/416 cards in DEP064 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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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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