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SHOE PENETRATION & DEPLETION [DEP130] · 82% DEPTH

King (K) Depletion at 341/416 Cards (82%): B4 Draw 2-7 Gate Impact #130

In shoe-depletion analysis DEP130, 341 of 416 cards (82%) have exited the shoe, leaving 3 copies of King (K) among 75 unseen cards (4.00% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -27 bps.

DEP130 Shoe Depth
341/416 (82%)
DEP130 K Density
3/75 (4.00%)
DEP130 Draw Delta
-27 bps
DEP130 Tableau Gate
B4vP3:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 82% shoe-penetration state DEP130 (King (K) -> 3/75).

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

DEP130 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.

DEP130 Rank K Supply
3 of 32 Remaining (4.00%)

Compares depleted density 4.00% against fresh 8-deck baseline 7.69% for King (K).

DEP130 Player Draw vs Banker Stand Shift
P-Draw -27 bps / B-Stand 14 bps

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

DEP130 Fixed Tableau Gate
BANKER_TABLEAU[4][3] = true

Card removal alters entry probabilities into (4, 3) but never alters the fixed DRAW rule.

DEP130 Sample Coup Resolution
P(9+4)+3=6 vs B(2+2)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP130.

COMBINATORIAL DEPLETION · DEP130

How Removing King (K) at 341 Cards Affects B4 Draw 2-7 Gate (DEP130)

Conditional model [DEP130] evaluates Pre-Cut-Card Tail (6.5 decks dealt) where 3 copies of King (K) persist among 75 cards (4.00% vs 416-card 7.69%), recalibrating the Banker 4 active six-card draw window against 2..7.

[DEP130-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -27 bps and Banker stand frequency by 14 bps in [DEP130], whereas fixed rule BANKER_TABLEAU[4][3] draws a sixth card.

Depletion Matrix for DEP130 (King (K) at 341/416 Cards)
DEP130 MetricDEP130 Fresh 416-ShoeDEP130 At 341 DealtDEP130 Tableau Effect
[DEP130:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP130:Rank]32/416 (7.69%)3/75 (4.00%)Point Value 0
[DEP130:Shift]Baseline Draw/StandP -27 bps / B 14 bpsB4 Draw 2-7 Gate
[DEP130:Hand]P=3 vs B=4, P3=3P=6 vs B=76c (B)
  • [DEP130-1] Verify [DEP130] 75 unseen cards remain after 341/416 exit.
  • [DEP130-2] Compare [DEP130] King (K) density (3/75=4.00%) vs 7.69%.
  • [DEP130-3] Apply [DEP130] BANKER_TABLEAU[4][3]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP130

Why DEP130 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP130-C11] Auditioning [DEP130] at depth, Player opens 3 + 3 -> 6 while Banker opens 4 -> 7 across 6c (B in [DEP130]). Across [DEP130] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP130] BBPPBPBPPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 3/75 in DEP130, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][3] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP130 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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