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SHOE PENETRATION & DEPLETION [DEP102] · 55% DEPTH

King (K) Depletion at 229/416 Cards (55%): B4 Draw 2-7 Gate Impact #102

In shoe-depletion analysis DEP102, 229 of 416 cards (55%) have exited the shoe, leaving 11 copies of King (K) among 187 unseen cards (5.88% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -17 bps.

DEP102 Shoe Depth
229/416 (55%)
DEP102 K Density
11/187 (5.88%)
DEP102 Draw Delta
-17 bps
DEP102 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 P P B B B B P B B P P B B P
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard trajectory paired with 55% shoe-penetration state DEP102 (King (K) -> 11/187).

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

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 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

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

DEP102 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.

DEP102 Rank K Supply
11 of 32 Remaining (5.88%)

Compares depleted density 5.88% against fresh 8-deck baseline 7.69% for King (K).

DEP102 Player Draw vs Banker Stand Shift
P-Draw -17 bps / B-Stand 23 bps

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

DEP102 Fixed Tableau Gate
BANKER_TABLEAU[4][3] = true

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

DEP102 Sample Coup Resolution
P(A+4)+3=8 vs B(2+2)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP102.

COMBINATORIAL DEPLETION · DEP102

How Removing King (K) at 229 Cards Affects B4 Draw 2-7 Gate (DEP102)

Conditional model [DEP102] evaluates Mid-Shoe Crossover (4.4 decks dealt) where 11 copies of King (K) persist among 187 cards (5.88% vs 416-card 7.69%), recalibrating the Banker 4 active six-card draw window against 2..7.

[DEP102-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -17 bps and Banker stand frequency by 23 bps in [DEP102], whereas fixed rule BANKER_TABLEAU[4][3] draws a sixth card.

Depletion Matrix for DEP102 (King (K) at 229/416 Cards)
DEP102 MetricDEP102 Fresh 416-ShoeDEP102 At 229 DealtDEP102 Tableau Effect
[DEP102:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP102:Rank]32/416 (7.69%)11/187 (5.88%)Point Value 0
[DEP102:Shift]Baseline Draw/StandP -17 bps / B 23 bpsB4 Draw 2-7 Gate
[DEP102:Hand]P=5 vs B=4, P3=3P=8 vs B=96c (B)
  • [DEP102-1] Verify [DEP102] 187 unseen cards remain after 229/416 exit.
  • [DEP102-2] Compare [DEP102] King (K) density (11/187=5.88%) vs 7.69%.
  • [DEP102-3] Apply [DEP102] BANKER_TABLEAU[4][3]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP102

Why DEP102 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP102-C10] Auditioning [DEP102] at depth, Player opens 5 + 3 -> 8 while Banker opens 4 -> 9 across 6c (B in [DEP102]). Across [DEP102] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP102] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 11/187 in DEP102, 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 229/416 cards in DEP102 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.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

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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