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SHOE PENETRATION & DEPLETION [DEP088] · 40% DEPTH

King (K) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #88

In shoe-depletion analysis DEP088, 166 of 416 cards (40%) have exited the shoe, leaving 14 copies of King (K) among 250 unseen cards (5.60% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -12 bps.

DEP088 Shoe Depth
166/416 (40%)
DEP088 K Density
14/250 (5.60%)
DEP088 Draw Delta
-12 bps
DEP088 Tableau Gate
B4vP5:DRAW
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 P P B B B B P P B P P P B
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard trajectory paired with 40% shoe-penetration state DEP088 (King (K) -> 14/250).

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

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

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

DEP088 Penetration Depth
166 Dealt / 250 Remaining (40%)

Evaluated at Mid-Early Penetration (3.2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP088 Rank K Supply
14 of 32 Remaining (5.60%)

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

DEP088 Player Draw vs Banker Stand Shift
P-Draw -12 bps / B-Stand 12 bps

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

DEP088 Fixed Tableau Gate
BANKER_TABLEAU[4][5] = true

Card removal alters entry probabilities into (4, 5) but never alters the fixed DRAW rule.

DEP088 Sample Coup Resolution
P(9+4)+5=8 vs B(2+2)=5 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP088.

COMBINATORIAL DEPLETION · DEP088

How Removing King (K) at 166 Cards Affects B4 Draw 2-7 Gate (DEP088)

Conditional model [DEP088] evaluates Mid-Early Penetration (3.2 decks dealt) where 14 copies of King (K) persist among 250 cards (5.60% vs 416-card 7.69%), recalibrating the Banker 4 active six-card draw window against 2..7.

[DEP088-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -12 bps and Banker stand frequency by 12 bps in [DEP088], whereas fixed rule BANKER_TABLEAU[4][5] draws a sixth card.

Depletion Matrix for DEP088 (King (K) at 166/416 Cards)
DEP088 MetricDEP088 Fresh 416-ShoeDEP088 At 166 DealtDEP088 Tableau Effect
[DEP088:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP088:Rank]32/416 (7.69%)14/250 (5.60%)Point Value 0
[DEP088:Shift]Baseline Draw/StandP -12 bps / B 12 bpsB4 Draw 2-7 Gate
[DEP088:Hand]P=3 vs B=4, P3=5P=8 vs B=56c (P)
  • [DEP088-1] Verify [DEP088] 250 unseen cards remain after 166/416 exit.
  • [DEP088-2] Compare [DEP088] King (K) density (14/250=5.60%) vs 7.69%.
  • [DEP088-3] Apply [DEP088] BANKER_TABLEAU[4][5]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP088

Why DEP088 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP088-C3] Auditioning [DEP088] at depth, Player opens 3 + 5 -> 8 while Banker opens 4 -> 5 across 6c (P in [DEP088]). Across [DEP088] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP088] BBPPBBPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 14/250 in DEP088, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][5] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP088 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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  • 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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