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SHOE PENETRATION & DEPLETION [DEP241] · 55% DEPTH

Queen (Q) Depletion at 229/416 Cards (55%): B6 Draw 6-7 Gate Impact #241

In shoe-depletion analysis DEP241, 229 of 416 cards (55%) have exited the shoe, leaving 12 copies of Queen (Q) among 187 unseen cards (6.42% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -46 bps.

DEP241 Shoe Depth
229/416 (55%)
DEP241 Q Density
12/187 (6.42%)
DEP241 Draw Delta
-46 bps
DEP241 Tableau Gate
B6vP6: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 55% shoe-penetration state DEP241 (Queen (Q) -> 12/187).

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

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

DEP241 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.

DEP241 Rank Q Supply
12 of 32 Remaining (6.42%)

Compares depleted density 6.42% against fresh 8-deck baseline 7.69% for Queen (Q).

DEP241 Player Draw vs Banker Stand Shift
P-Draw -46 bps / B-Stand 30 bps

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

DEP241 Fixed Tableau Gate
BANKER_TABLEAU[6][6] = true

Card removal alters entry probabilities into (6, 6) but never alters the fixed DRAW rule.

DEP241 Sample Coup Resolution
P(10+K)+6=6 vs B(2+4)=2 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP241.

COMBINATORIAL DEPLETION · DEP241

How Removing Queen (Q) at 229 Cards Affects B6 Draw 6-7 Gate (DEP241)

Card-removal record [DEP241] inspects 187 remaining cards after 229 are burned or dealt; holding 12 Queen (Q) cards (6.42% vs 7.69%) perturbs the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP241-B] In [DEP241], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-46 bps) and Banker's pat rate (30 bps), while B=6 vs P3=6 strictly draws a sixth card.

Depletion Matrix for DEP241 (Queen (Q) at 229/416 Cards)
DEP241 MetricDEP241 Fresh 416-ShoeDEP241 At 229 DealtDEP241 Tableau Effect
[DEP241:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP241:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 0
[DEP241:Shift]Baseline Draw/StandP -46 bps / B 30 bpsB6 Draw 6-7 Gate
[DEP241:Hand]P=0 vs B=6, P3=6P=6 vs B=26c (P)
  • [DEP241-1] Verify [DEP241] 187 unseen cards remain after 229/416 exit.
  • [DEP241-2] Compare [DEP241] Queen (Q) density (12/187=6.42%) vs 7.69%.
  • [DEP241-3] Apply [DEP241] BANKER_TABLEAU[6][6]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP241

Why DEP241 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP241-C8] Auditioning [DEP241] at depth, Player opens 0 + 6 -> 6 while Banker opens 6 -> 2 across 6c (P in [DEP241]). Across [DEP241] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP241] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 12/187 in DEP241, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][6] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP241 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