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SHOE PENETRATION & DEPLETION [DEP138] · 82% DEPTH

Eight (8) Depletion at 341/416 Cards (82%): B4 Draw 2-7 Gate Impact #138

In shoe-depletion analysis DEP138, 341 of 416 cards (82%) have exited the shoe, leaving 3 copies of Eight (8) among 75 unseen cards (4.00% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by 30 bps.

DEP138 Shoe Depth
341/416 (82%)
DEP138 8 Density
3/75 (4.00%)
DEP138 Draw Delta
30 bps
DEP138 Tableau Gate
B4vP3:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 82% shoe-penetration state DEP138 (Eight (8) -> 3/75).

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

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 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

DEP138 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.

DEP138 Rank 8 Supply
3 of 32 Remaining (4.00%)

Compares depleted density 4.00% against fresh 8-deck baseline 7.69% for Eight (8).

DEP138 Player Draw vs Banker Stand Shift
P-Draw 30 bps / B-Stand -32 bps

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

DEP138 Fixed Tableau Gate
BANKER_TABLEAU[4][3] = true

Card removal alters entry probabilities into (4, 3) but never alters the fixed DRAW rule.

DEP138 Sample Coup Resolution
P(A+4)+3=8 vs B(2+2)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP138.

COMBINATORIAL DEPLETION · DEP138

How Removing Eight (8) at 341 Cards Affects B4 Draw 2-7 Gate (DEP138)

Eight-deck checkpoint [DEP138] (Pre-Cut-Card Tail (6.5 decks dealt)) isolates 3 remaining Eight (8) cards across 75 unseen slots (4.00% vs fresh 7.69%) against the Banker 4 active six-card draw window against 2..7.

[DEP138-B] Card-counting audits of [DEP138] show Eight (8) (value 8) moving Player draw rate by 30 bps and Banker stand rate by -32 bps, while tableau cell [4][3] draws a sixth card.

Depletion Matrix for DEP138 (Eight (8) at 341/416 Cards)
DEP138 MetricDEP138 Fresh 416-ShoeDEP138 At 341 DealtDEP138 Tableau Effect
[DEP138:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP138:Rank]32/416 (7.69%)3/75 (4.00%)Point Value 8
[DEP138:Shift]Baseline Draw/StandP 30 bps / B -32 bpsB4 Draw 2-7 Gate
[DEP138:Hand]P=5 vs B=4, P3=3P=8 vs B=36c (P)
  • [DEP138-1] Verify [DEP138] 75 unseen cards remain after 341/416 exit.
  • [DEP138-2] Compare [DEP138] Eight (8) density (3/75=4.00%) vs 7.69%.
  • [DEP138-3] Apply [DEP138] BANKER_TABLEAU[4][3]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP138

Why DEP138 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP138-C2] Auditioning [DEP138] at depth, Player opens 5 + 3 -> 8 while Banker opens 4 -> 3 across 6c (P in [DEP138]). Across [DEP138] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP138] BBPPBPBBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Eight (8) is depleted to 3/75 in DEP138, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][3] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP138 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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