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SHOE PENETRATION & DEPLETION [DEP349] · 82% DEPTH

Nine (9) Depletion at 341/416 Cards (82%): P0-5 vs B-Stand Impact #349

In shoe-depletion analysis DEP349, 341 of 416 cards (82%) have exited the shoe, leaving 4 copies of Nine (9) among 75 unseen cards (5.33% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by 12 bps.

DEP349 Shoe Depth
341/416 (82%)
DEP349 9 Density
4/75 (5.33%)
DEP349 Draw Delta
12 bps
DEP349 Tableau Gate
B2vP0: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 B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard trajectory paired with 82% shoe-penetration state DEP349 (Nine (9) -> 4/75).

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

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

DEP349 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.

DEP349 Rank 9 Supply
4 of 32 Remaining (5.33%)

Compares depleted density 5.33% against fresh 8-deck baseline 7.69% for Nine (9).

DEP349 Player Draw vs Banker Stand Shift
P-Draw 12 bps / B-Stand -21 bps

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

DEP349 Fixed Tableau Gate
BANKER_TABLEAU[2][0] = true

Card removal alters entry probabilities into (2, 0) but never alters the fixed DRAW rule.

DEP349 Sample Coup Resolution
P(10+K)+10=0 vs B(8+4)=1 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP349.

COMBINATORIAL DEPLETION · DEP349

How Removing Nine (9) at 341 Cards Affects P0-5 vs B-Stand (DEP349)

Penetration profile [DEP349] fixes the shoe at 341 dealt and 75 remaining with 4 Nine (9) cards (5.33% density vs 7.69%), testing sensitivity of the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP349-B] Depleting Nine (9) (pip value 9) induces a 12-bps shift in Player 0..5 draws and a -21-bps shift in Banker stands; inside coordinate B2-P3(0), the dealer still draws a sixth card.

Depletion Matrix for DEP349 (Nine (9) at 341/416 Cards)
DEP349 MetricDEP349 Fresh 416-ShoeDEP349 At 341 DealtDEP349 Tableau Effect
[DEP349:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP349:Rank]32/416 (7.69%)4/75 (5.33%)Point Value 9
[DEP349:Shift]Baseline Draw/StandP 12 bps / B -21 bpsP0-5 vs B-Stand
[DEP349:Hand]P=0 vs B=2, P3=0P=0 vs B=16c (B)
  • [DEP349-1] Verify [DEP349] 75 unseen cards remain after 341/416 exit.
  • [DEP349-2] Compare [DEP349] Nine (9) density (4/75=5.33%) vs 7.69%.
  • [DEP349-3] Apply [DEP349] BANKER_TABLEAU[2][0]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP349

Why DEP349 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP349-C10] Auditioning [DEP349] at depth, Player opens 0 + 0 -> 0 while Banker opens 2 -> 1 across 6c (B in [DEP349]). Across [DEP349] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP349] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 4/75 in DEP349, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][0] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP349 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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