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SHOE PENETRATION & DEPLETION [DEP041] · 55% DEPTH

Nine (9) Depletion at 229/416 Cards (55%): B3 vs P3=8 Shade Impact #41

In shoe-depletion analysis DEP041, 229 of 416 cards (55%) have exited the shoe, leaving 12 copies of Nine (9) among 187 unseen cards (6.42% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by 45 bps.

DEP041 Shoe Depth
229/416 (55%)
DEP041 9 Density
12/187 (6.42%)
DEP041 Draw Delta
45 bps
DEP041 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 B B P P P P B B P B B B P
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard trajectory paired with 55% shoe-penetration state DEP041 (Nine (9) -> 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

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

DEP041 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.

DEP041 Rank 9 Supply
12 of 32 Remaining (6.42%)

Compares depleted density 6.42% against fresh 8-deck baseline 7.69% for Nine (9).

DEP041 Player Draw vs Banker Stand Shift
P-Draw 45 bps / B-Stand -27 bps

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

DEP041 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

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

DEP041 Sample Coup Resolution
P(2+2)+8=2 vs B(9+4)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP041.

COMBINATORIAL DEPLETION · DEP041

How Removing Nine (9) at 229 Cards Affects B3 vs P3=8 Shade (DEP041)

Penetration profile [DEP041] fixes the shoe at 229 dealt and 187 remaining with 12 Nine (9) cards (6.42% density vs 7.69%), testing sensitivity of the Banker 3 standing exception on Player third-card 8.

[DEP041-B] Depleting Nine (9) (pip value 9) induces a 45-bps shift in Player 0..5 draws and a -27-bps shift in Banker stands; inside coordinate B3-P3(8), the dealer still stands pat on five cards.

Depletion Matrix for DEP041 (Nine (9) at 229/416 Cards)
DEP041 MetricDEP041 Fresh 416-ShoeDEP041 At 229 DealtDEP041 Tableau Effect
[DEP041:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP041:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 9
[DEP041:Shift]Baseline Draw/StandP 45 bps / B -27 bpsB3 vs P3=8 Shade
[DEP041:Hand]P=4 vs B=3, P3=8P=2 vs B=35c (B)
  • [DEP041-1] Verify [DEP041] 187 unseen cards remain after 229/416 exit.
  • [DEP041-2] Compare [DEP041] Nine (9) density (12/187=6.42%) vs 7.69%.
  • [DEP041-3] Apply [DEP041] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP041

Why DEP041 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP041-C12] Auditioning [DEP041] at depth, Player opens 4 + 8 -> 2 while Banker opens 3 -> 3 across 5c (B in [DEP041]). Across [DEP041] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP041] PPBBPPBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 12/187 in DEP041, 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 DEP041 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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