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SHOE PENETRATION & DEPLETION [DEP171] · 55% DEPTH

Queen (Q) Depletion at 229/416 Cards (55%): B5 Draw 4-7 Gate Impact #171

In shoe-depletion analysis DEP171, 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 B5 Draw 4-7 Gate frequency by -29 bps.

DEP171 Shoe Depth
229/416 (55%)
DEP171 Q Density
10/187 (5.35%)
DEP171 Draw Delta
-29 bps
DEP171 Tableau Gate
B5vP6: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 P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 55% shoe-penetration state DEP171 (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 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

DEP171 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.

DEP171 Rank Q Supply
10 of 32 Remaining (5.35%)

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

DEP171 Player Draw vs Banker Stand Shift
P-Draw -29 bps / B-Stand 37 bps

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

DEP171 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

Card removal alters entry probabilities into (5, 6) but never alters the fixed DRAW rule.

DEP171 Sample Coup Resolution
P(10+2)+6=8 vs B(A+4)=0 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP171.

COMBINATORIAL DEPLETION · DEP171

How Removing Queen (Q) at 229 Cards Affects B5 Draw 4-7 Gate (DEP171)

Card-removal record [DEP171] inspects 187 remaining cards after 229 are burned or dealt; holding 10 Queen (Q) cards (5.35% vs 7.69%) perturbs the Banker 5 four-value draw threshold against 4..7.

[DEP171-B] In [DEP171], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-29 bps) and Banker's pat rate (37 bps), while B=5 vs P3=6 strictly draws a sixth card.

Depletion Matrix for DEP171 (Queen (Q) at 229/416 Cards)
DEP171 MetricDEP171 Fresh 416-ShoeDEP171 At 229 DealtDEP171 Tableau Effect
[DEP171:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP171:Rank]32/416 (7.69%)10/187 (5.35%)Point Value 0
[DEP171:Shift]Baseline Draw/StandP -29 bps / B 37 bpsB5 Draw 4-7 Gate
[DEP171:Hand]P=2 vs B=5, P3=6P=8 vs B=06c (P)
  • [DEP171-1] Verify [DEP171] 187 unseen cards remain after 229/416 exit.
  • [DEP171-2] Compare [DEP171] Queen (Q) density (10/187=5.35%) vs 7.69%.
  • [DEP171-3] Apply [DEP171] BANKER_TABLEAU[5][6]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP171

Why DEP171 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP171-C12] Auditioning [DEP171] at depth, Player opens 2 + 6 -> 8 while Banker opens 5 -> 0 across 6c (P in [DEP171]). Across [DEP171] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP171] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 10/187 in DEP171, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][6] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP171 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