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SHOE PENETRATION & DEPLETION [DEP075] · 25% DEPTH

Ace (A) Depletion at 104/416 Cards (25%): B4 Draw 2-7 Gate Impact #75

In shoe-depletion analysis DEP075, 104 of 416 cards (25%) have exited the shoe, leaving 20 copies of Ace (A) among 312 unseen cards (6.41% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -12 bps.

DEP075 Shoe Depth
104/416 (25%)
DEP075 A Density
20/312 (6.41%)
DEP075 Draw Delta
-12 bps
DEP075 Tableau Gate
B4vP4: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 25% shoe-penetration state DEP075 (Ace (A) -> 20/312).

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

DEP075 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP075 Rank A Supply
20 of 32 Remaining (6.41%)

Compares depleted density 6.41% against fresh 8-deck baseline 7.69% for Ace (A).

DEP075 Player Draw vs Banker Stand Shift
P-Draw -12 bps / B-Stand 11 bps

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

DEP075 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

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

DEP075 Sample Coup Resolution
P(10+2)+4=6 vs B(A+3)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP075.

COMBINATORIAL DEPLETION · DEP075

How Removing Ace (A) at 104 Cards Affects B4 Draw 2-7 Gate (DEP075)

Tracking [DEP075] across 104/416 dealt cards leaves 20 remaining Ace (A) cards in the 312-card stub (6.41% vs baseline 7.69%), reshaping probabilities for the Banker 4 active six-card draw window against 2..7.

[DEP075-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -12 bps and Banker stand frequency by 11 bps, while Banker 4 vs P3=4 always draws a sixth card.

Depletion Matrix for DEP075 (Ace (A) at 104/416 Cards)
DEP075 MetricDEP075 Fresh 416-ShoeDEP075 At 104 DealtDEP075 Tableau Effect
[DEP075:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP075:Rank]32/416 (7.69%)20/312 (6.41%)Point Value 1
[DEP075:Shift]Baseline Draw/StandP -12 bps / B 11 bpsB4 Draw 2-7 Gate
[DEP075:Hand]P=2 vs B=4, P3=4P=6 vs B=36c (P)
  • [DEP075-1] Verify [DEP075] 312 unseen cards remain after 104/416 exit.
  • [DEP075-2] Compare [DEP075] Ace (A) density (20/312=6.41%) vs 7.69%.
  • [DEP075-3] Apply [DEP075] BANKER_TABLEAU[4][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP075

Why DEP075 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP075-C3] Auditioning [DEP075] at depth, Player opens 2 + 4 -> 6 while Banker opens 4 -> 3 across 6c (P in [DEP075]). Across [DEP075] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP075] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 20/312 in DEP075, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][4] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP075 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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  • 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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