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SHOE PENETRATION & DEPLETION [DEP297] · 40% DEPTH

Queen (Q) Depletion at 166/416 Cards (40%): P0-5 vs B-Stand Impact #297

In shoe-depletion analysis DEP297, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Queen (Q) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -21 bps.

DEP297 Shoe Depth
166/416 (40%)
DEP297 Q Density
17/250 (6.80%)
DEP297 Draw Delta
-21 bps
DEP297 Tableau Gate
B2vP0: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 B B P P P P B B P B B B P
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard trajectory paired with 40% shoe-penetration state DEP297 (Queen (Q) -> 17/250).

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

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

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

DEP297 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.

DEP297 Rank Q Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Queen (Q).

DEP297 Player Draw vs Banker Stand Shift
P-Draw -21 bps / B-Stand 12 bps

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

DEP297 Fixed Tableau Gate
BANKER_TABLEAU[2][0] = true

Card removal alters entry probabilities into (2, 0) but never alters the fixed DRAW rule.

DEP297 Sample Coup Resolution
P(10+2)+10=2 vs B(8+4)=0 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP297.

COMBINATORIAL DEPLETION · DEP297

How Removing Queen (Q) at 166 Cards Affects P0-5 vs B-Stand (DEP297)

Card-removal record [DEP297] inspects 250 remaining cards after 166 are burned or dealt; holding 17 Queen (Q) cards (6.80% vs 7.69%) perturbs the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP297-B] In [DEP297], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-21 bps) and Banker's pat rate (12 bps), while B=2 vs P3=0 strictly draws a sixth card.

Depletion Matrix for DEP297 (Queen (Q) at 166/416 Cards)
DEP297 MetricDEP297 Fresh 416-ShoeDEP297 At 166 DealtDEP297 Tableau Effect
[DEP297:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP297:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 0
[DEP297:Shift]Baseline Draw/StandP -21 bps / B 12 bpsP0-5 vs B-Stand
[DEP297:Hand]P=2 vs B=2, P3=0P=2 vs B=06c (P)
  • [DEP297-1] Verify [DEP297] 250 unseen cards remain after 166/416 exit.
  • [DEP297-2] Compare [DEP297] Queen (Q) density (17/250=6.80%) vs 7.69%.
  • [DEP297-3] Apply [DEP297] BANKER_TABLEAU[2][0]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP297

Why DEP297 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP297-C10] Auditioning [DEP297] at depth, Player opens 2 + 0 -> 2 while Banker opens 2 -> 0 across 6c (P in [DEP297]). Across [DEP297] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP297] PPBBPPBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 17/250 in DEP297, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][0] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP297 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android