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SHOE PENETRATION & DEPLETION [DEP131] · 82% DEPTH

Ace (A) Depletion at 341/416 Cards (82%): B4 Draw 2-7 Gate Impact #131

In shoe-depletion analysis DEP131, 341 of 416 cards (82%) have exited the shoe, leaving 2 copies of Ace (A) among 75 unseen cards (2.67% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -32 bps.

DEP131 Shoe Depth
341/416 (82%)
DEP131 A Density
2/75 (2.67%)
DEP131 Draw Delta
-32 bps
DEP131 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 B B B P P P P B B P B P P
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard trajectory paired with 82% shoe-penetration state DEP131 (Ace (A) -> 2/75).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DEP131 Penetration Depth
341 Dealt / 75 Remaining (82%)

Evaluated at Pre-Cut-Card Tail (6.5 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP131 Rank A Supply
2 of 32 Remaining (2.67%)

Compares depleted density 2.67% against fresh 8-deck baseline 7.69% for Ace (A).

DEP131 Player Draw vs Banker Stand Shift
P-Draw -32 bps / B-Stand 24 bps

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

DEP131 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

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

DEP131 Sample Coup Resolution
P(2+2)+4=8 vs B(A+3)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP131.

COMBINATORIAL DEPLETION · DEP131

How Removing Ace (A) at 341 Cards Affects B4 Draw 2-7 Gate (DEP131)

Tracking [DEP131] across 341/416 dealt cards leaves 2 remaining Ace (A) cards in the 75-card stub (2.67% vs baseline 7.69%), reshaping probabilities for the Banker 4 active six-card draw window against 2..7.

[DEP131-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -32 bps and Banker stand frequency by 24 bps, while Banker 4 vs P3=4 always draws a sixth card.

Depletion Matrix for DEP131 (Ace (A) at 341/416 Cards)
DEP131 MetricDEP131 Fresh 416-ShoeDEP131 At 341 DealtDEP131 Tableau Effect
[DEP131:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP131:Rank]32/416 (7.69%)2/75 (2.67%)Point Value 1
[DEP131:Shift]Baseline Draw/StandP -32 bps / B 24 bpsB4 Draw 2-7 Gate
[DEP131:Hand]P=4 vs B=4, P3=4P=8 vs B=96c (B)
  • [DEP131-1] Verify [DEP131] 75 unseen cards remain after 341/416 exit.
  • [DEP131-2] Compare [DEP131] Ace (A) density (2/75=2.67%) vs 7.69%.
  • [DEP131-3] Apply [DEP131] BANKER_TABLEAU[4][4]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP131

Why DEP131 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP131-C5] Auditioning [DEP131] at depth, Player opens 4 + 4 -> 8 while Banker opens 4 -> 9 across 6c (B in [DEP131]). Across [DEP131] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP131] PPBBPBPBBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 2/75 in DEP131, 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 341/416 cards in DEP131 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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