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SHOE PENETRATION & DEPLETION [DEP032] · 55% DEPTH

King (K) Depletion at 229/416 Cards (55%): B3 vs P3=8 Shade Impact #32

In shoe-depletion analysis DEP032, 229 of 416 cards (55%) have exited the shoe, leaving 9 copies of King (K) among 187 unseen cards (4.81% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -37 bps.

DEP032 Shoe Depth
229/416 (55%)
DEP032 K Density
9/187 (4.81%)
DEP032 Draw Delta
-37 bps
DEP032 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 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 55% shoe-penetration state DEP032 (King (K) -> 9/187).

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

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

DEP032 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.

DEP032 Rank K Supply
9 of 32 Remaining (4.81%)

Compares depleted density 4.81% against fresh 8-deck baseline 7.69% for King (K).

DEP032 Player Draw vs Banker Stand Shift
P-Draw -37 bps / B-Stand 30 bps

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

DEP032 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

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

DEP032 Sample Coup Resolution
P(7+4)+8=9 vs B(10+3)=3 (P)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP032.

COMBINATORIAL DEPLETION · DEP032

How Removing King (K) at 229 Cards Affects B3 vs P3=8 Shade (DEP032)

Conditional model [DEP032] evaluates Mid-Shoe Crossover (4.4 decks dealt) where 9 copies of King (K) persist among 187 cards (4.81% vs 416-card 7.69%), recalibrating the Banker 3 standing exception on Player third-card 8.

[DEP032-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -37 bps and Banker stand frequency by 30 bps in [DEP032], whereas fixed rule BANKER_TABLEAU[3][8] stands pat on five cards.

Depletion Matrix for DEP032 (King (K) at 229/416 Cards)
DEP032 MetricDEP032 Fresh 416-ShoeDEP032 At 229 DealtDEP032 Tableau Effect
[DEP032:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP032:Rank]32/416 (7.69%)9/187 (4.81%)Point Value 0
[DEP032:Shift]Baseline Draw/StandP -37 bps / B 30 bpsB3 vs P3=8 Shade
[DEP032:Hand]P=1 vs B=3, P3=8P=9 vs B=35c (P)
  • [DEP032-1] Verify [DEP032] 187 unseen cards remain after 229/416 exit.
  • [DEP032-2] Compare [DEP032] King (K) density (9/187=4.81%) vs 7.69%.
  • [DEP032-3] Apply [DEP032] BANKER_TABLEAU[3][8]=false (5c P).
INDEPENDENCE & ROAD LOGGING · DEP032

Why DEP032 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP032-C1] Auditioning [DEP032] at depth, Player opens 1 + 8 -> 9 while Banker opens 3 -> 3 across 5c (P in [DEP032]). Across [DEP032] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP032] BBPPBBPBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 9/187 in DEP032, 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 229/416 cards in DEP032 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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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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