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SHOE PENETRATION & DEPLETION [DEP089] · 40% DEPTH

Ace (A) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #89

In shoe-depletion analysis DEP089, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Ace (A) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -17 bps.

DEP089 Shoe Depth
166/416 (40%)
DEP089 A Density
17/250 (6.80%)
DEP089 Draw Delta
-17 bps
DEP089 Tableau Gate
B4vP2: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 DEP089 (Ace (A) -> 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

DEP089 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.

DEP089 Rank A Supply
17 of 32 Remaining (6.80%)

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

DEP089 Player Draw vs Banker Stand Shift
P-Draw -17 bps / B-Stand 22 bps

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

DEP089 Fixed Tableau Gate
BANKER_TABLEAU[4][2] = true

Card removal alters entry probabilities into (4, 2) but never alters the fixed DRAW rule.

DEP089 Sample Coup Resolution
P(2+2)+2=6 vs B(A+3)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP089.

COMBINATORIAL DEPLETION · DEP089

How Removing Ace (A) at 166 Cards Affects B4 Draw 2-7 Gate (DEP089)

Tracking [DEP089] across 166/416 dealt cards leaves 17 remaining Ace (A) cards in the 250-card stub (6.80% vs baseline 7.69%), reshaping probabilities for the Banker 4 active six-card draw window against 2..7.

[DEP089-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -17 bps and Banker stand frequency by 22 bps, while Banker 4 vs P3=2 always draws a sixth card.

Depletion Matrix for DEP089 (Ace (A) at 166/416 Cards)
DEP089 MetricDEP089 Fresh 416-ShoeDEP089 At 166 DealtDEP089 Tableau Effect
[DEP089:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP089:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 1
[DEP089:Shift]Baseline Draw/StandP -17 bps / B 22 bpsB4 Draw 2-7 Gate
[DEP089:Hand]P=4 vs B=4, P3=2P=6 vs B=76c (B)
  • [DEP089-1] Verify [DEP089] 250 unseen cards remain after 166/416 exit.
  • [DEP089-2] Compare [DEP089] Ace (A) density (17/250=6.80%) vs 7.69%.
  • [DEP089-3] Apply [DEP089] BANKER_TABLEAU[4][2]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP089

Why DEP089 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP089-C10] Auditioning [DEP089] at depth, Player opens 4 + 2 -> 6 while Banker opens 4 -> 7 across 6c (B in [DEP089]). Across [DEP089] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP089] PPBBPPBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 17/250 in DEP089, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][2] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP089 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