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SHOE PENETRATION & DEPLETION [DEP311] · 55% DEPTH

Queen (Q) Depletion at 229/416 Cards (55%): P0-5 vs B-Stand Impact #311

In shoe-depletion analysis DEP311, 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 P0-5 vs B-Stand frequency by -26 bps.

DEP311 Shoe Depth
229/416 (55%)
DEP311 Q Density
10/187 (5.35%)
DEP311 Draw Delta
-26 bps
DEP311 Tableau Gate
B2vP2:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 55% shoe-penetration state DEP311 (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 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 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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.

Cockroach Pig Mark #3

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DEP311 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.

DEP311 Rank Q Supply
10 of 32 Remaining (5.35%)

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

DEP311 Player Draw vs Banker Stand Shift
P-Draw -26 bps / B-Stand 23 bps

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

DEP311 Fixed Tableau Gate
BANKER_TABLEAU[2][2] = true

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

DEP311 Sample Coup Resolution
P(2+2)+2=6 vs B(8+4)=4 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP311.

COMBINATORIAL DEPLETION · DEP311

How Removing Queen (Q) at 229 Cards Affects P0-5 vs B-Stand (DEP311)

Card-removal record [DEP311] inspects 187 remaining cards after 229 are burned or dealt; holding 10 Queen (Q) cards (5.35% vs 7.69%) perturbs the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP311-B] In [DEP311], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-26 bps) and Banker's pat rate (23 bps), while B=2 vs P3=2 strictly draws a sixth card.

Depletion Matrix for DEP311 (Queen (Q) at 229/416 Cards)
DEP311 MetricDEP311 Fresh 416-ShoeDEP311 At 229 DealtDEP311 Tableau Effect
[DEP311:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP311:Rank]32/416 (7.69%)10/187 (5.35%)Point Value 0
[DEP311:Shift]Baseline Draw/StandP -26 bps / B 23 bpsP0-5 vs B-Stand
[DEP311:Hand]P=4 vs B=2, P3=2P=6 vs B=46c (P)
  • [DEP311-1] Verify [DEP311] 187 unseen cards remain after 229/416 exit.
  • [DEP311-2] Compare [DEP311] Queen (Q) density (10/187=5.35%) vs 7.69%.
  • [DEP311-3] Apply [DEP311] BANKER_TABLEAU[2][2]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP311

Why DEP311 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP311-C4] Auditioning [DEP311] at depth, Player opens 4 + 2 -> 6 while Banker opens 2 -> 4 across 6c (P in [DEP311]). Across [DEP311] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP311] PPBBPBBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 10/187 in DEP311, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][2] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP311 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