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SHOE PENETRATION & DEPLETION [DEP185] · 70% DEPTH

Queen (Q) Depletion at 291/416 Cards (70%): B5 Draw 4-7 Gate Impact #185

In shoe-depletion analysis DEP185, 291 of 416 cards (70%) have exited the shoe, leaving 8 copies of Queen (Q) among 125 unseen cards (6.40% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -34 bps.

DEP185 Shoe Depth
291/416 (70%)
DEP185 Q Density
8/125 (6.40%)
DEP185 Draw Delta
-34 bps
DEP185 Tableau Gate
B5vP4: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 70% shoe-penetration state DEP185 (Queen (Q) -> 8/125).

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

DEP185 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP185 Rank Q Supply
8 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Queen (Q).

DEP185 Player Draw vs Banker Stand Shift
P-Draw -34 bps / B-Stand 17 bps

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

DEP185 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

Card removal alters entry probabilities into (5, 4) but never alters the fixed DRAW rule.

DEP185 Sample Coup Resolution
P(2+2)+4=8 vs B(A+4)=4 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP185.

COMBINATORIAL DEPLETION · DEP185

How Removing Queen (Q) at 291 Cards Affects B5 Draw 4-7 Gate (DEP185)

Card-removal record [DEP185] inspects 125 remaining cards after 291 are burned or dealt; holding 8 Queen (Q) cards (6.40% vs 7.69%) perturbs the Banker 5 four-value draw threshold against 4..7.

[DEP185-B] In [DEP185], 0-point Queen (Q) depletion nudges Player's third-card draw rate (-34 bps) and Banker's pat rate (17 bps), while B=5 vs P3=4 strictly draws a sixth card.

Depletion Matrix for DEP185 (Queen (Q) at 291/416 Cards)
DEP185 MetricDEP185 Fresh 416-ShoeDEP185 At 291 DealtDEP185 Tableau Effect
[DEP185:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP185:Rank]32/416 (7.69%)8/125 (6.40%)Point Value 0
[DEP185:Shift]Baseline Draw/StandP -34 bps / B 17 bpsB5 Draw 4-7 Gate
[DEP185:Hand]P=4 vs B=5, P3=4P=8 vs B=46c (P)
  • [DEP185-1] Verify [DEP185] 125 unseen cards remain after 291/416 exit.
  • [DEP185-2] Compare [DEP185] Queen (Q) density (8/125=6.40%) vs 7.69%.
  • [DEP185-3] Apply [DEP185] BANKER_TABLEAU[5][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP185

Why DEP185 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP185-C6] Auditioning [DEP185] at depth, Player opens 4 + 4 -> 8 while Banker opens 5 -> 4 across 6c (P in [DEP185]). Across [DEP185] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP185] PPBBPPBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Queen (Q) is depleted to 8/125 in DEP185, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][4] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP185 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