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SHOE PENETRATION & DEPLETION [DEP004] · 25% DEPTH

King (K) Depletion at 104/416 Cards (25%): B3 vs P3=8 Shade Impact #4

In shoe-depletion analysis DEP004, 104 of 416 cards (25%) have exited the shoe, leaving 19 copies of King (K) among 312 unseen cards (6.09% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -27 bps.

DEP004 Shoe Depth
104/416 (25%)
DEP004 K Density
19/312 (6.09%)
DEP004 Draw Delta
-27 bps
DEP004 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 B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard trajectory paired with 25% shoe-penetration state DEP004 (King (K) -> 19/312).

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 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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

DEP004 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.

DEP004 Rank K Supply
19 of 32 Remaining (6.09%)

Compares depleted density 6.09% against fresh 8-deck baseline 7.69% for King (K).

DEP004 Player Draw vs Banker Stand Shift
P-Draw -27 bps / B-Stand 39 bps

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

DEP004 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

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

DEP004 Sample Coup Resolution
P(9+4)+8=1 vs B(10+3)=3 (B)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP004.

COMBINATORIAL DEPLETION · DEP004

How Removing King (K) at 104 Cards Affects B3 vs P3=8 Shade (DEP004)

Conditional model [DEP004] evaluates Early-Shoe Quarter Marker (2 decks dealt) where 19 copies of King (K) persist among 312 cards (6.09% vs 416-card 7.69%), recalibrating the Banker 3 standing exception on Player third-card 8.

[DEP004-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -27 bps and Banker stand frequency by 39 bps in [DEP004], whereas fixed rule BANKER_TABLEAU[3][8] stands pat on five cards.

Depletion Matrix for DEP004 (King (K) at 104/416 Cards)
DEP004 MetricDEP004 Fresh 416-ShoeDEP004 At 104 DealtDEP004 Tableau Effect
[DEP004:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP004:Rank]32/416 (7.69%)19/312 (6.09%)Point Value 0
[DEP004:Shift]Baseline Draw/StandP -27 bps / B 39 bpsB3 vs P3=8 Shade
[DEP004:Hand]P=3 vs B=3, P3=8P=1 vs B=35c (B)
  • [DEP004-1] Verify [DEP004] 312 unseen cards remain after 104/416 exit.
  • [DEP004-2] Compare [DEP004] King (K) density (19/312=6.09%) vs 7.69%.
  • [DEP004-3] Apply [DEP004] BANKER_TABLEAU[3][8]=false (5c B).
INDEPENDENCE & ROAD LOGGING · DEP004

Why DEP004 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP004-C0] Auditioning [DEP004] at depth, Player opens 3 + 8 -> 1 while Banker opens 3 -> 3 across 5c (B in [DEP004]). Across [DEP004] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP004] BBPPPBBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 19/312 in DEP004, 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 104/416 cards in DEP004 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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