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SHOE PENETRATION & DEPLETION [DEP017] · 40% DEPTH

Queen (Q) Depletion at 166/416 Cards (40%): B3 vs P3=8 Shade Impact #17

In shoe-depletion analysis DEP017, 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 B3 vs P3=8 Shade frequency by -27 bps.

DEP017 Shoe Depth
166/416 (40%)
DEP017 Q Density
17/250 (6.80%)
DEP017 Draw Delta
-27 bps
DEP017 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 P P B P B P P B B B P P P P B B
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard trajectory paired with 40% shoe-penetration state DEP017 (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

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP017 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.

DEP017 Rank Q Supply
17 of 32 Remaining (6.80%)

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

DEP017 Player Draw vs Banker Stand Shift
P-Draw -27 bps / B-Stand 9 bps

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

DEP017 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

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

DEP017 Sample Coup Resolution
P(2+2)+8=2 vs B(9+4)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP017.

COMBINATORIAL DEPLETION · DEP017

How Removing Queen (Q) at 166 Cards Affects B3 vs P3=8 Shade (DEP017)

Card-removal record [DEP017] inspects 250 remaining cards after 166 are burned or dealt; holding 17 Queen (Q) cards (6.80% vs 7.69%) perturbs the Banker 3 standing exception on Player third-card 8.

[DEP017-B] In [DEP017], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-27 bps) and Banker's pat rate (9 bps), while B=3 vs P3=8 strictly stands pat on five cards.

Depletion Matrix for DEP017 (Queen (Q) at 166/416 Cards)
DEP017 MetricDEP017 Fresh 416-ShoeDEP017 At 166 DealtDEP017 Tableau Effect
[DEP017:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP017:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 0
[DEP017:Shift]Baseline Draw/StandP -27 bps / B 9 bpsB3 vs P3=8 Shade
[DEP017:Hand]P=4 vs B=3, P3=8P=2 vs B=35c (B)
  • [DEP017-1] Verify [DEP017] 250 unseen cards remain after 166/416 exit.
  • [DEP017-2] Compare [DEP017] Queen (Q) density (17/250=6.80%) vs 7.69%.
  • [DEP017-3] Apply [DEP017] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP017

Why DEP017 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP017-C0] Auditioning [DEP017] at depth, Player opens 4 + 8 -> 2 while Banker opens 3 -> 3 across 5c (B in [DEP017]). Across [DEP017] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP017] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 17/250 in DEP017, 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 166/416 cards in DEP017 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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