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SHOE PENETRATION & DEPLETION [DEP256] · 70% DEPTH

King (K) Depletion at 291/416 Cards (70%): B6 Draw 6-7 Gate Impact #256

In shoe-depletion analysis DEP256, 291 of 416 cards (70%) have exited the shoe, leaving 5 copies of King (K) among 125 unseen cards (4.00% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -19 bps.

DEP256 Shoe Depth
291/416 (70%)
DEP256 K Density
5/125 (4.00%)
DEP256 Draw Delta
-19 bps
DEP256 Tableau Gate
B6vP9:STAND
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 70% shoe-penetration state DEP256 (King (K) -> 5/125).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 2, 2 columns further back.
  2. Column 4 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP256 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP256 Rank K Supply
5 of 32 Remaining (4.00%)

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

DEP256 Player Draw vs Banker Stand Shift
P-Draw -19 bps / B-Stand 20 bps

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

DEP256 Fixed Tableau Gate
BANKER_TABLEAU[6][9] = false

Card removal alters entry probabilities into (6, 9) but never alters the fixed STAND rule.

DEP256 Sample Coup Resolution
P(9+4)+9=2 vs B(3+3)=6 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP256.

COMBINATORIAL DEPLETION · DEP256

How Removing King (K) at 291 Cards Affects B6 Draw 6-7 Gate (DEP256)

Conditional model [DEP256] evaluates Deep-Shoe Segment (5.6 decks dealt) where 5 copies of King (K) persist among 125 cards (4.00% vs 416-card 7.69%), recalibrating the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP256-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -19 bps and Banker stand frequency by 20 bps in [DEP256], whereas fixed rule BANKER_TABLEAU[6][9] stands pat on five cards.

Depletion Matrix for DEP256 (King (K) at 291/416 Cards)
DEP256 MetricDEP256 Fresh 416-ShoeDEP256 At 291 DealtDEP256 Tableau Effect
[DEP256:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP256:Rank]32/416 (7.69%)5/125 (4.00%)Point Value 0
[DEP256:Shift]Baseline Draw/StandP -19 bps / B 20 bpsB6 Draw 6-7 Gate
[DEP256:Hand]P=3 vs B=6, P3=9P=2 vs B=65c (B)
  • [DEP256-1] Verify [DEP256] 125 unseen cards remain after 291/416 exit.
  • [DEP256-2] Compare [DEP256] King (K) density (5/125=4.00%) vs 7.69%.
  • [DEP256-3] Apply [DEP256] BANKER_TABLEAU[6][9]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP256

Why DEP256 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP256-C9] Auditioning [DEP256] at depth, Player opens 3 + 9 -> 2 while Banker opens 6 -> 6 across 5c (B in [DEP256]). Across [DEP256] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP256] BBPPBBPBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 5/125 in DEP256, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][9] remains false at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP256 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