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SHOE PENETRATION & DEPLETION [DEP018] · 40% DEPTH

King (K) Depletion at 166/416 Cards (40%): B3 vs P3=8 Shade Impact #18

In shoe-depletion analysis DEP018, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of King (K) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B3 vs P3=8 Shade frequency by -32 bps.

DEP018 Shoe Depth
166/416 (40%)
DEP018 K Density
16/250 (6.40%)
DEP018 Draw Delta
-32 bps
DEP018 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 P B P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard trajectory paired with 40% shoe-penetration state DEP018 (King (K) -> 16/250).

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

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

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

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DEP018 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.

DEP018 Rank K Supply
16 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for King (K).

DEP018 Player Draw vs Banker Stand Shift
P-Draw -32 bps / B-Stand 19 bps

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

DEP018 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

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

DEP018 Sample Coup Resolution
P(A+4)+8=3 vs B(10+3)=3 (T)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP018.

COMBINATORIAL DEPLETION · DEP018

How Removing King (K) at 166 Cards Affects B3 vs P3=8 Shade (DEP018)

Conditional model [DEP018] evaluates Mid-Early Penetration (3.2 decks dealt) where 16 copies of King (K) persist among 250 cards (6.40% vs 416-card 7.69%), recalibrating the Banker 3 standing exception on Player third-card 8.

[DEP018-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -32 bps and Banker stand frequency by 19 bps in [DEP018], whereas fixed rule BANKER_TABLEAU[3][8] stands pat on five cards.

Depletion Matrix for DEP018 (King (K) at 166/416 Cards)
DEP018 MetricDEP018 Fresh 416-ShoeDEP018 At 166 DealtDEP018 Tableau Effect
[DEP018:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP018:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 0
[DEP018:Shift]Baseline Draw/StandP -32 bps / B 19 bpsB3 vs P3=8 Shade
[DEP018:Hand]P=5 vs B=3, P3=8P=3 vs B=35c (T)
  • [DEP018-1] Verify [DEP018] 250 unseen cards remain after 166/416 exit.
  • [DEP018-2] Compare [DEP018] King (K) density (16/250=6.40%) vs 7.69%.
  • [DEP018-3] Apply [DEP018] BANKER_TABLEAU[3][8]=false (5c T).
INDEPENDENCE & ROAD LOGGING · DEP018

Why DEP018 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP018-C7] Auditioning [DEP018] at depth, Player opens 5 + 8 -> 3 while Banker opens 3 -> 3 across 5c (T in [DEP018]). Across [DEP018] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging T onto [DEP018] BBPPBPBPPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 16/250 in DEP018, 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 166/416 cards in DEP018 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
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