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SHOE PENETRATION & DEPLETION [DEP033] · 55% DEPTH

Ace (A) Depletion at 229/416 Cards (55%): B3 vs P3=8 Shade Impact #33

In shoe-depletion analysis DEP033, 229 of 416 cards (55%) have exited the shoe, leaving 12 copies of Ace (A) among 187 unseen cards (6.42% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -42 bps.

DEP033 Shoe Depth
229/416 (55%)
DEP033 A Density
12/187 (6.42%)
DEP033 Draw Delta
-42 bps
DEP033 Tableau Gate
B3vP8:STAND
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 P B P P B B B P P P P B B
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard trajectory paired with 55% shoe-penetration state DEP033 (Ace (A) -> 12/187).

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

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

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP033 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.

DEP033 Rank A Supply
12 of 32 Remaining (6.42%)

Compares depleted density 6.42% against fresh 8-deck baseline 7.69% for Ace (A).

DEP033 Player Draw vs Banker Stand Shift
P-Draw -42 bps / B-Stand 9 bps

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

DEP033 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP033 Sample Coup Resolution
P(10+2)+8=0 vs B(9+4)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP033.

COMBINATORIAL DEPLETION · DEP033

How Removing Ace (A) at 229 Cards Affects B3 vs P3=8 Shade (DEP033)

Tracking [DEP033] across 229/416 dealt cards leaves 12 remaining Ace (A) cards in the 187-card stub (6.42% vs baseline 7.69%), reshaping probabilities for the Banker 3 standing exception on Player third-card 8.

[DEP033-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -42 bps and Banker stand frequency by 9 bps, while Banker 3 vs P3=8 always stands pat on five cards.

Depletion Matrix for DEP033 (Ace (A) at 229/416 Cards)
DEP033 MetricDEP033 Fresh 416-ShoeDEP033 At 229 DealtDEP033 Tableau Effect
[DEP033:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP033:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 1
[DEP033:Shift]Baseline Draw/StandP -42 bps / B 9 bpsB3 vs P3=8 Shade
[DEP033:Hand]P=2 vs B=3, P3=8P=0 vs B=35c (B)
  • [DEP033-1] Verify [DEP033] 187 unseen cards remain after 229/416 exit.
  • [DEP033-2] Compare [DEP033] Ace (A) density (12/187=6.42%) vs 7.69%.
  • [DEP033-3] Apply [DEP033] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP033

Why DEP033 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP033-C8] Auditioning [DEP033] at depth, Player opens 2 + 8 -> 0 while Banker opens 3 -> 3 across 5c (B in [DEP033]). Across [DEP033] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP033] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 12/187 in DEP033, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP033 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
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