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SHOE PENETRATION & DEPLETION [DEP031] · 55% DEPTH

Queen (Q) Depletion at 229/416 Cards (55%): B3 vs P3=8 Shade Impact #31

In shoe-depletion analysis DEP031, 229 of 416 cards (55%) have exited the shoe, leaving 10 copies of Queen (Q) among 187 unseen cards (5.35% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -32 bps.

DEP031 Shoe Depth
229/416 (55%)
DEP031 Q Density
10/187 (5.35%)
DEP031 Draw Delta
-32 bps
DEP031 Tableau Gate
B3vP8:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 55% shoe-penetration state DEP031 (Queen (Q) -> 10/187).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  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 3 beads. Different depth → blue (≠).

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

DEP031 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.

DEP031 Rank Q Supply
10 of 32 Remaining (5.35%)

Compares depleted density 5.35% against fresh 8-deck baseline 7.69% for Queen (Q).

DEP031 Player Draw vs Banker Stand Shift
P-Draw -32 bps / B-Stand 20 bps

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

DEP031 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

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

DEP031 Sample Coup Resolution
P(10+K)+8=8 vs B(9+4)=3 (P)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP031.

COMBINATORIAL DEPLETION · DEP031

How Removing Queen (Q) at 229 Cards Affects B3 vs P3=8 Shade (DEP031)

Card-removal record [DEP031] inspects 187 remaining cards after 229 are burned or dealt; holding 10 Queen (Q) cards (5.35% vs 7.69%) perturbs the Banker 3 standing exception on Player third-card 8.

[DEP031-B] In [DEP031], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-32 bps) and Banker's pat rate (20 bps), while B=3 vs P3=8 strictly stands pat on five cards.

Depletion Matrix for DEP031 (Queen (Q) at 229/416 Cards)
DEP031 MetricDEP031 Fresh 416-ShoeDEP031 At 229 DealtDEP031 Tableau Effect
[DEP031:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP031:Rank]32/416 (7.69%)10/187 (5.35%)Point Value 0
[DEP031:Shift]Baseline Draw/StandP -32 bps / B 20 bpsB3 vs P3=8 Shade
[DEP031:Hand]P=0 vs B=3, P3=8P=8 vs B=35c (P)
  • [DEP031-1] Verify [DEP031] 187 unseen cards remain after 229/416 exit.
  • [DEP031-2] Compare [DEP031] Queen (Q) density (10/187=5.35%) vs 7.69%.
  • [DEP031-3] Apply [DEP031] BANKER_TABLEAU[3][8]=false (5c P).
INDEPENDENCE & ROAD LOGGING · DEP031

Why DEP031 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP031-C7] Auditioning [DEP031] at depth, Player opens 0 + 8 -> 8 while Banker opens 3 -> 3 across 5c (P in [DEP031]). Across [DEP031] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP031] PPBBBPPBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 10/187 in DEP031, 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 DEP031 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