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SHOE PENETRATION & DEPLETION [DEP269] · 82% DEPTH

Queen (Q) Depletion at 341/416 Cards (82%): B6 Draw 6-7 Gate Impact #269

In shoe-depletion analysis DEP269, 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 B6 Draw 6-7 Gate frequency by -19 bps.

DEP269 Shoe Depth
341/416 (82%)
DEP269 Q Density
4/75 (5.33%)
DEP269 Draw Delta
-19 bps
DEP269 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 B P P B B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard trajectory paired with 82% shoe-penetration state DEP269 (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

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

DEP269 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.

DEP269 Rank Q Supply
4 of 32 Remaining (5.33%)

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

DEP269 Player Draw vs Banker Stand Shift
P-Draw -19 bps / B-Stand 21 bps

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

DEP269 Fixed Tableau Gate
BANKER_TABLEAU[6][6] = true

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

DEP269 Sample Coup Resolution
P(2+2)+6=0 vs B(2+4)=0 (T)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP269.

COMBINATORIAL DEPLETION · DEP269

How Removing Queen (Q) at 341 Cards Affects B6 Draw 6-7 Gate (DEP269)

Card-removal record [DEP269] inspects 75 remaining cards after 341 are burned or dealt; holding 4 Queen (Q) cards (5.33% vs 7.69%) perturbs the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP269-B] In [DEP269], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-19 bps) and Banker's pat rate (21 bps), while B=6 vs P3=6 strictly draws a sixth card.

Depletion Matrix for DEP269 (Queen (Q) at 341/416 Cards)
DEP269 MetricDEP269 Fresh 416-ShoeDEP269 At 341 DealtDEP269 Tableau Effect
[DEP269:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP269:Rank]32/416 (7.69%)4/75 (5.33%)Point Value 0
[DEP269:Shift]Baseline Draw/StandP -19 bps / B 21 bpsB6 Draw 6-7 Gate
[DEP269:Hand]P=4 vs B=6, P3=6P=0 vs B=06c (T)
  • [DEP269-1] Verify [DEP269] 75 unseen cards remain after 341/416 exit.
  • [DEP269-2] Compare [DEP269] Queen (Q) density (4/75=5.33%) vs 7.69%.
  • [DEP269-3] Apply [DEP269] BANKER_TABLEAU[6][6]=true (6c T).
INDEPENDENCE & ROAD LOGGING · DEP269

Why DEP269 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP269-C9] Auditioning [DEP269] at depth, Player opens 4 + 6 -> 0 while Banker opens 6 -> 0 across 6c (T in [DEP269]). Across [DEP269] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging T onto [DEP269] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 4/75 in DEP269, 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 341/416 cards in DEP269 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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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
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