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SHOE PENETRATION & DEPLETION [DEP129] · 82% DEPTH

Queen (Q) Depletion at 341/416 Cards (82%): B4 Draw 2-7 Gate Impact #129

In shoe-depletion analysis DEP129, 341 of 416 cards (82%) have exited the shoe, leaving 4 copies of Queen (Q) among 75 unseen cards (5.33% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -22 bps.

DEP129 Shoe Depth
341/416 (82%)
DEP129 Q Density
4/75 (5.33%)
DEP129 Draw Delta
-22 bps
DEP129 Tableau Gate
B4vP2:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 82% shoe-penetration state DEP129 (Queen (Q) -> 4/75).

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

DEP129 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.

DEP129 Rank Q Supply
4 of 32 Remaining (5.33%)

Compares depleted density 5.33% against fresh 8-deck baseline 7.69% for Queen (Q).

DEP129 Player Draw vs Banker Stand Shift
P-Draw -22 bps / B-Stand 35 bps

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

DEP129 Fixed Tableau Gate
BANKER_TABLEAU[4][2] = true

Card removal alters entry probabilities into (4, 2) but never alters the fixed DRAW rule.

DEP129 Sample Coup Resolution
P(10+2)+2=4 vs B(A+3)=6 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP129.

COMBINATORIAL DEPLETION · DEP129

How Removing Queen (Q) at 341 Cards Affects B4 Draw 2-7 Gate (DEP129)

Card-removal record [DEP129] inspects 75 remaining cards after 341 are burned or dealt; holding 4 Queen (Q) cards (5.33% vs 7.69%) perturbs the Banker 4 active six-card draw window against 2..7.

[DEP129-B] In [DEP129], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-22 bps) and Banker's pat rate (35 bps), while B=4 vs P3=2 strictly draws a sixth card.

Depletion Matrix for DEP129 (Queen (Q) at 341/416 Cards)
DEP129 MetricDEP129 Fresh 416-ShoeDEP129 At 341 DealtDEP129 Tableau Effect
[DEP129:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP129:Rank]32/416 (7.69%)4/75 (5.33%)Point Value 0
[DEP129:Shift]Baseline Draw/StandP -22 bps / B 35 bpsB4 Draw 2-7 Gate
[DEP129:Hand]P=2 vs B=4, P3=2P=4 vs B=66c (B)
  • [DEP129-1] Verify [DEP129] 75 unseen cards remain after 341/416 exit.
  • [DEP129-2] Compare [DEP129] Queen (Q) density (4/75=5.33%) vs 7.69%.
  • [DEP129-3] Apply [DEP129] BANKER_TABLEAU[4][2]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP129

Why DEP129 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP129-C4] Auditioning [DEP129] at depth, Player opens 2 + 2 -> 4 while Banker opens 4 -> 6 across 6c (B in [DEP129]). Across [DEP129] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP129] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 4/75 in DEP129, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][2] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP129 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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
  • 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