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SHOE PENETRATION & DEPLETION [DEP116] · 70% DEPTH

King (K) Depletion at 291/416 Cards (70%): B4 Draw 2-7 Gate Impact #116

In shoe-depletion analysis DEP116, 291 of 416 cards (70%) have exited the shoe, leaving 5 copies of King (K) among 125 unseen cards (4.00% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -22 bps.

DEP116 Shoe Depth
291/416 (70%)
DEP116 K Density
5/125 (4.00%)
DEP116 Draw Delta
-22 bps
DEP116 Tableau Gate
B4vP5: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 B B P P B P P P B B B P B
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard trajectory paired with 70% shoe-penetration state DEP116 (King (K) -> 5/125).

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

DEP116 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP116 Rank K Supply
5 of 32 Remaining (4.00%)

Compares depleted density 4.00% against fresh 8-deck baseline 7.69% for King (K).

DEP116 Player Draw vs Banker Stand Shift
P-Draw -22 bps / B-Stand 34 bps

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

DEP116 Fixed Tableau Gate
BANKER_TABLEAU[4][5] = true

Card removal alters entry probabilities into (4, 5) but never alters the fixed DRAW rule.

DEP116 Sample Coup Resolution
P(7+4)+5=6 vs B(2+2)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP116.

COMBINATORIAL DEPLETION · DEP116

How Removing King (K) at 291 Cards Affects B4 Draw 2-7 Gate (DEP116)

Conditional model [DEP116] evaluates Deep-Shoe Segment (5.6 decks dealt) where 5 copies of King (K) persist among 125 cards (4.00% vs 416-card 7.69%), recalibrating the Banker 4 active six-card draw window against 2..7.

[DEP116-B] Mathematically, King (K) (worth 0) shifts Player draw frequency by -22 bps and Banker stand frequency by 34 bps in [DEP116], whereas fixed rule BANKER_TABLEAU[4][5] draws a sixth card.

Depletion Matrix for DEP116 (King (K) at 291/416 Cards)
DEP116 MetricDEP116 Fresh 416-ShoeDEP116 At 291 DealtDEP116 Tableau Effect
[DEP116:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP116:Rank]32/416 (7.69%)5/125 (4.00%)Point Value 0
[DEP116:Shift]Baseline Draw/StandP -22 bps / B 34 bpsB4 Draw 2-7 Gate
[DEP116:Hand]P=1 vs B=4, P3=5P=6 vs B=36c (P)
  • [DEP116-1] Verify [DEP116] 125 unseen cards remain after 291/416 exit.
  • [DEP116-2] Compare [DEP116] King (K) density (5/125=4.00%) vs 7.69%.
  • [DEP116-3] Apply [DEP116] BANKER_TABLEAU[4][5]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP116

Why DEP116 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP116-C4] Auditioning [DEP116] at depth, Player opens 1 + 5 -> 6 while Banker opens 4 -> 3 across 6c (P in [DEP116]). Across [DEP116] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP116] BBPPPBBBBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen King (K) is depleted to 5/125 in DEP116, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][5] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP116 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