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SHOE PENETRATION & DEPLETION [DEP144] · 25% DEPTH

King (K) Depletion at 104/416 Cards (25%): B5 Draw 4-7 Gate Impact #144

In shoe-depletion analysis DEP144, 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 B5 Draw 4-7 Gate frequency by -24 bps.

DEP144 Shoe Depth
104/416 (25%)
DEP144 K Density
19/312 (6.09%)
DEP144 Draw Delta
-24 bps
DEP144 Tableau Gate
B5vP7: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 B P B B P P P B B B B P P
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard trajectory paired with 25% shoe-penetration state DEP144 (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

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

DEP144 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.

DEP144 Rank K Supply
19 of 32 Remaining (6.09%)

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

DEP144 Player Draw vs Banker Stand Shift
P-Draw -24 bps / B-Stand 25 bps

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

DEP144 Fixed Tableau Gate
BANKER_TABLEAU[5][7] = true

Card removal alters entry probabilities into (5, 7) but never alters the fixed DRAW rule.

DEP144 Sample Coup Resolution
P(A+4)+7=2 vs B(2+3)=3 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP144.

COMBINATORIAL DEPLETION · DEP144

How Removing King (K) at 104 Cards Affects B5 Draw 4-7 Gate (DEP144)

Conditional model [DEP144] 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 5 four-value draw threshold against 4..7.

[DEP144-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -24 bps and Banker stand frequency by 25 bps in [DEP144], whereas fixed rule BANKER_TABLEAU[5][7] draws a sixth card.

Depletion Matrix for DEP144 (King (K) at 104/416 Cards)
DEP144 MetricDEP144 Fresh 416-ShoeDEP144 At 104 DealtDEP144 Tableau Effect
[DEP144:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP144:Rank]32/416 (7.69%)19/312 (6.09%)Point Value 0
[DEP144:Shift]Baseline Draw/StandP -24 bps / B 25 bpsB5 Draw 4-7 Gate
[DEP144:Hand]P=5 vs B=5, P3=7P=2 vs B=36c (B)
  • [DEP144-1] Verify [DEP144] 312 unseen cards remain after 104/416 exit.
  • [DEP144-2] Compare [DEP144] King (K) density (19/312=6.09%) vs 7.69%.
  • [DEP144-3] Apply [DEP144] BANKER_TABLEAU[5][7]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP144

Why DEP144 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP144-C5] Auditioning [DEP144] at depth, Player opens 5 + 7 -> 2 while Banker opens 5 -> 3 across 6c (B in [DEP144]). Across [DEP144] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP144] BBPPBBPBPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 19/312 in DEP144, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][7] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP144 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