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SHOE PENETRATION & DEPLETION [DEP340] · 82% DEPTH

King (K) Depletion at 341/416 Cards (82%): P0-5 vs B-Stand Impact #340

In shoe-depletion analysis DEP340, 341 of 416 cards (82%) have exited the shoe, leaving 1 copies of King (K) among 75 unseen cards (1.33% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -41 bps.

DEP340 Shoe Depth
341/416 (82%)
DEP340 K Density
1/75 (1.33%)
DEP340 Draw Delta
-41 bps
DEP340 Tableau Gate
B2vP3:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P P B B B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard trajectory paired with 82% shoe-penetration state DEP340 (King (K) -> 1/75).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 2, 3 columns further back.
  2. Column 5 has 1 bead. Column 2 has 3 beads. Different depth → blue (≠).

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

DEP340 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.

DEP340 Rank K Supply
1 of 32 Remaining (1.33%)

Compares depleted density 1.33% against fresh 8-deck baseline 7.69% for King (K).

DEP340 Player Draw vs Banker Stand Shift
P-Draw -41 bps / B-Stand 24 bps

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

DEP340 Fixed Tableau Gate
BANKER_TABLEAU[2][3] = true

Card removal alters entry probabilities into (2, 3) but never alters the fixed DRAW rule.

DEP340 Sample Coup Resolution
P(9+4)+3=6 vs B(10+2)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP340.

COMBINATORIAL DEPLETION · DEP340

How Removing King (K) at 341 Cards Affects P0-5 vs B-Stand (DEP340)

Conditional model [DEP340] evaluates Pre-Cut-Card Tail (6.5 decks dealt) where 1 copies of King (K) persist among 75 cards (1.33% vs 416-card 7.69%), recalibrating the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP340-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -41 bps and Banker stand frequency by 24 bps in [DEP340], whereas fixed rule BANKER_TABLEAU[2][3] draws a sixth card.

Depletion Matrix for DEP340 (King (K) at 341/416 Cards)
DEP340 MetricDEP340 Fresh 416-ShoeDEP340 At 341 DealtDEP340 Tableau Effect
[DEP340:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP340:Rank]32/416 (7.69%)1/75 (1.33%)Point Value 0
[DEP340:Shift]Baseline Draw/StandP -41 bps / B 24 bpsP0-5 vs B-Stand
[DEP340:Hand]P=3 vs B=2, P3=3P=6 vs B=36c (P)
  • [DEP340-1] Verify [DEP340] 75 unseen cards remain after 341/416 exit.
  • [DEP340-2] Compare [DEP340] King (K) density (1/75=1.33%) vs 7.69%.
  • [DEP340-3] Apply [DEP340] BANKER_TABLEAU[2][3]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP340

Why DEP340 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP340-C12] Auditioning [DEP340] at depth, Player opens 3 + 3 -> 6 while Banker opens 2 -> 3 across 6c (P in [DEP340]). Across [DEP340] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP340] BBPPPBBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 1/75 in DEP340, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][3] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP340 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
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