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SHOE PENETRATION & DEPLETION [DEP046] · 70% DEPTH

King (K) Depletion at 291/416 Cards (70%): B3 vs P3=8 Shade Impact #46

In shoe-depletion analysis DEP046, 291 of 416 cards (70%) have exited the shoe, leaving 7 copies of King (K) among 125 unseen cards (5.60% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -42 bps.

DEP046 Shoe Depth
291/416 (70%)
DEP046 K Density
7/125 (5.60%)
DEP046 Draw Delta
-42 bps
DEP046 Tableau Gate
B3vP8:STAND
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 P B B P P B P P P B B B B
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard trajectory paired with 70% shoe-penetration state DEP046 (King (K) -> 7/125).

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

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

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. 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 2 beads. 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

DEP046 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.

DEP046 Rank K Supply
7 of 32 Remaining (5.60%)

Compares depleted density 5.60% against fresh 8-deck baseline 7.69% for King (K).

DEP046 Player Draw vs Banker Stand Shift
P-Draw -42 bps / B-Stand 10 bps

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

DEP046 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP046 Sample Coup Resolution
P(9+4)+8=1 vs B(10+3)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP046.

COMBINATORIAL DEPLETION · DEP046

How Removing King (K) at 291 Cards Affects B3 vs P3=8 Shade (DEP046)

Conditional model [DEP046] evaluates Deep-Shoe Segment (5.6 decks dealt) where 7 copies of King (K) persist among 125 cards (5.60% vs 416-card 7.69%), recalibrating the Banker 3 standing exception on Player third-card 8.

[DEP046-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -42 bps and Banker stand frequency by 10 bps in [DEP046], whereas fixed rule BANKER_TABLEAU[3][8] stands pat on five cards.

Depletion Matrix for DEP046 (King (K) at 291/416 Cards)
DEP046 MetricDEP046 Fresh 416-ShoeDEP046 At 291 DealtDEP046 Tableau Effect
[DEP046:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP046:Rank]32/416 (7.69%)7/125 (5.60%)Point Value 0
[DEP046:Shift]Baseline Draw/StandP -42 bps / B 10 bpsB3 vs P3=8 Shade
[DEP046:Hand]P=3 vs B=3, P3=8P=1 vs B=35c (B)
  • [DEP046-1] Verify [DEP046] 125 unseen cards remain after 291/416 exit.
  • [DEP046-2] Compare [DEP046] King (K) density (7/125=5.60%) vs 7.69%.
  • [DEP046-3] Apply [DEP046] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP046

Why DEP046 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP046-C8] Auditioning [DEP046] at depth, Player opens 3 + 8 -> 1 while Banker opens 3 -> 3 across 5c (B in [DEP046]). Across [DEP046] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP046] BBPPPBBPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 7/125 in DEP046, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP046 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