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SHOE PENETRATION & DEPLETION [DEP284] · 25% DEPTH

King (K) Depletion at 104/416 Cards (25%): P0-5 vs B-Stand Impact #284

In shoe-depletion analysis DEP284, 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 P0-5 vs B-Stand frequency by -21 bps.

DEP284 Shoe Depth
104/416 (25%)
DEP284 K Density
19/312 (6.09%)
DEP284 Draw Delta
-21 bps
DEP284 Tableau Gate
B2vP3:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 25% shoe-penetration state DEP284 (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 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

  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 2 beads. Same depth → red (=).

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

DEP284 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.

DEP284 Rank K Supply
19 of 32 Remaining (6.09%)

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

DEP284 Player Draw vs Banker Stand Shift
P-Draw -21 bps / B-Stand 11 bps

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

DEP284 Fixed Tableau Gate
BANKER_TABLEAU[2][3] = true

Card removal alters entry probabilities into (2, 3) but never alters the fixed DRAW rule.

DEP284 Sample Coup Resolution
P(7+4)+3=4 vs B(10+2)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP284.

COMBINATORIAL DEPLETION · DEP284

How Removing King (K) at 104 Cards Affects P0-5 vs B-Stand (DEP284)

Conditional model [DEP284] 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 Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP284-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -21 bps and Banker stand frequency by 11 bps in [DEP284], whereas fixed rule BANKER_TABLEAU[2][3] draws a sixth card.

Depletion Matrix for DEP284 (King (K) at 104/416 Cards)
DEP284 MetricDEP284 Fresh 416-ShoeDEP284 At 104 DealtDEP284 Tableau Effect
[DEP284:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP284:Rank]32/416 (7.69%)19/312 (6.09%)Point Value 0
[DEP284:Shift]Baseline Draw/StandP -21 bps / B 11 bpsP0-5 vs B-Stand
[DEP284:Hand]P=1 vs B=2, P3=3P=4 vs B=76c (B)
  • [DEP284-1] Verify [DEP284] 312 unseen cards remain after 104/416 exit.
  • [DEP284-2] Compare [DEP284] King (K) density (19/312=6.09%) vs 7.69%.
  • [DEP284-3] Apply [DEP284] BANKER_TABLEAU[2][3]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP284

Why DEP284 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP284-C10] Auditioning [DEP284] at depth, Player opens 1 + 3 -> 4 while Banker opens 2 -> 7 across 6c (B in [DEP284]). Across [DEP284] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP284] BBPPBPBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 19/312 in DEP284, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][3] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP284 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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