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SHOE PENETRATION & DEPLETION [DEP158] · 40% DEPTH

King (K) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #158

In shoe-depletion analysis DEP158, 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 B5 Draw 4-7 Gate frequency by -29 bps.

DEP158 Shoe Depth
166/416 (40%)
DEP158 K Density
16/250 (6.40%)
DEP158 Draw Delta
-29 bps
DEP158 Tableau Gate
B5vP5:DRAW
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 P B B P P B P P P B B B B
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard trajectory paired with 40% shoe-penetration state DEP158 (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 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

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. 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 2 beads. 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

DEP158 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.

DEP158 Rank K Supply
16 of 32 Remaining (6.40%)

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

DEP158 Player Draw vs Banker Stand Shift
P-Draw -29 bps / B-Stand 36 bps

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

DEP158 Fixed Tableau Gate
BANKER_TABLEAU[5][5] = true

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

DEP158 Sample Coup Resolution
P(7+4)+5=6 vs B(2+3)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP158.

COMBINATORIAL DEPLETION · DEP158

How Removing King (K) at 166 Cards Affects B5 Draw 4-7 Gate (DEP158)

Conditional model [DEP158] 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 5 four-value draw threshold against 4..7.

[DEP158-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -29 bps and Banker stand frequency by 36 bps in [DEP158], whereas fixed rule BANKER_TABLEAU[5][5] draws a sixth card.

Depletion Matrix for DEP158 (King (K) at 166/416 Cards)
DEP158 MetricDEP158 Fresh 416-ShoeDEP158 At 166 DealtDEP158 Tableau Effect
[DEP158:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP158:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 0
[DEP158:Shift]Baseline Draw/StandP -29 bps / B 36 bpsB5 Draw 4-7 Gate
[DEP158:Hand]P=1 vs B=5, P3=5P=6 vs B=76c (B)
  • [DEP158-1] Verify [DEP158] 250 unseen cards remain after 166/416 exit.
  • [DEP158-2] Compare [DEP158] King (K) density (16/250=6.40%) vs 7.69%.
  • [DEP158-3] Apply [DEP158] BANKER_TABLEAU[5][5]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP158

Why DEP158 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP158-C12] Auditioning [DEP158] at depth, Player opens 1 + 5 -> 6 while Banker opens 5 -> 7 across 6c (B in [DEP158]). Across [DEP158] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP158] BBPPPBBPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 16/250 in DEP158, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][5] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP158 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