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SHOE PENETRATION & DEPLETION [DEP087] · 40% DEPTH

Queen (Q) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #87

In shoe-depletion analysis DEP087, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Queen (Q) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -44 bps.

DEP087 Shoe Depth
166/416 (40%)
DEP087 Q Density
15/250 (6.00%)
DEP087 Draw Delta
-44 bps
DEP087 Tableau Gate
B4vP4: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 40% shoe-penetration state DEP087 (Queen (Q) -> 15/250).

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

DEP087 Penetration Depth
166 Dealt / 250 Remaining (40%)

Evaluated at Mid-Early Penetration (3.2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP087 Rank Q Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Queen (Q).

DEP087 Player Draw vs Banker Stand Shift
P-Draw -44 bps / B-Stand 33 bps

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

DEP087 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

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

DEP087 Sample Coup Resolution
P(10+2)+4=6 vs B(A+3)=4 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP087.

COMBINATORIAL DEPLETION · DEP087

How Removing Queen (Q) at 166 Cards Affects B4 Draw 2-7 Gate (DEP087)

Card-removal record [DEP087] inspects 250 remaining cards after 166 are burned or dealt; holding 15 Queen (Q) cards (6.00% vs 7.69%) perturbs the Banker 4 active six-card draw window against 2..7.

[DEP087-B] In [DEP087], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-44 bps) and Banker's pat rate (33 bps), while B=4 vs P3=4 strictly draws a sixth card.

Depletion Matrix for DEP087 (Queen (Q) at 166/416 Cards)
DEP087 MetricDEP087 Fresh 416-ShoeDEP087 At 166 DealtDEP087 Tableau Effect
[DEP087:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP087:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 0
[DEP087:Shift]Baseline Draw/StandP -44 bps / B 33 bpsB4 Draw 2-7 Gate
[DEP087:Hand]P=2 vs B=4, P3=4P=6 vs B=46c (P)
  • [DEP087-1] Verify [DEP087] 250 unseen cards remain after 166/416 exit.
  • [DEP087-2] Compare [DEP087] Queen (Q) density (15/250=6.00%) vs 7.69%.
  • [DEP087-3] Apply [DEP087] BANKER_TABLEAU[4][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP087

Why DEP087 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP087-C9] Auditioning [DEP087] at depth, Player opens 2 + 4 -> 6 while Banker opens 4 -> 4 across 6c (P in [DEP087]). Across [DEP087] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP087] PPBBPBBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 15/250 in DEP087, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][4] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP087 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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