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SHOE PENETRATION & DEPLETION [DEP214] · 25% DEPTH

King (K) Depletion at 104/416 Cards (25%): B6 Draw 6-7 Gate Impact #214

In shoe-depletion analysis DEP214, 104 of 416 cards (25%) have exited the shoe, leaving 21 copies of King (K) among 312 unseen cards (6.73% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -41 bps.

DEP214 Shoe Depth
104/416 (25%)
DEP214 K Density
21/312 (6.73%)
DEP214 Draw Delta
-41 bps
DEP214 Tableau Gate
B6vP7: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 25% shoe-penetration state DEP214 (King (K) -> 21/312).

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

DEP214 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP214 Rank K Supply
21 of 32 Remaining (6.73%)

Compares depleted density 6.73% against fresh 8-deck baseline 7.69% for King (K).

DEP214 Player Draw vs Banker Stand Shift
P-Draw -41 bps / B-Stand 18 bps

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

DEP214 Fixed Tableau Gate
BANKER_TABLEAU[6][7] = true

Card removal alters entry probabilities into (6, 7) but never alters the fixed DRAW rule.

DEP214 Sample Coup Resolution
P(9+4)+7=0 vs B(3+3)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP214.

COMBINATORIAL DEPLETION · DEP214

How Removing King (K) at 104 Cards Affects B6 Draw 6-7 Gate (DEP214)

Conditional model [DEP214] evaluates Early-Shoe Quarter Marker (2 decks dealt) where 21 copies of King (K) persist among 312 cards (6.73% vs 416-card 7.69%), recalibrating the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP214-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -41 bps and Banker stand frequency by 18 bps in [DEP214], whereas fixed rule BANKER_TABLEAU[6][7] draws a sixth card.

Depletion Matrix for DEP214 (King (K) at 104/416 Cards)
DEP214 MetricDEP214 Fresh 416-ShoeDEP214 At 104 DealtDEP214 Tableau Effect
[DEP214:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP214:Rank]32/416 (7.69%)21/312 (6.73%)Point Value 0
[DEP214:Shift]Baseline Draw/StandP -41 bps / B 18 bpsB6 Draw 6-7 Gate
[DEP214:Hand]P=3 vs B=6, P3=7P=0 vs B=56c (B)
  • [DEP214-1] Verify [DEP214] 312 unseen cards remain after 104/416 exit.
  • [DEP214-2] Compare [DEP214] King (K) density (21/312=6.73%) vs 7.69%.
  • [DEP214-3] Apply [DEP214] BANKER_TABLEAU[6][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP214

Why DEP214 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP214-C1] Auditioning [DEP214] at depth, Player opens 3 + 7 -> 0 while Banker opens 6 -> 5 across 6c (B in [DEP214]). Across [DEP214] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP214] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 21/312 in DEP214, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][7] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP214 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android