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SHOE PENETRATION & DEPLETION [DEP125] · 70% DEPTH

Nine (9) Depletion at 291/416 Cards (70%): B4 Draw 2-7 Gate Impact #125

In shoe-depletion analysis DEP125, 291 of 416 cards (70%) have exited the shoe, leaving 8 copies of Nine (9) among 125 unseen cards (6.40% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by 30 bps.

DEP125 Shoe Depth
291/416 (70%)
DEP125 9 Density
8/125 (6.40%)
DEP125 Draw Delta
30 bps
DEP125 Tableau Gate
B4vP2:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 70% shoe-penetration state DEP125 (Nine (9) -> 8/125).

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 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

DEP125 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.

DEP125 Rank 9 Supply
8 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Nine (9).

DEP125 Player Draw vs Banker Stand Shift
P-Draw 30 bps / B-Stand -31 bps

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

DEP125 Fixed Tableau Gate
BANKER_TABLEAU[4][2] = true

Card removal alters entry probabilities into (4, 2) but never alters the fixed DRAW rule.

DEP125 Sample Coup Resolution
P(2+2)+2=6 vs B(A+3)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP125.

COMBINATORIAL DEPLETION · DEP125

How Removing Nine (9) at 291 Cards Affects B4 Draw 2-7 Gate (DEP125)

Penetration profile [DEP125] fixes the shoe at 291 dealt and 125 remaining with 8 Nine (9) cards (6.40% density vs 7.69%), testing sensitivity of the Banker 4 active six-card draw window against 2..7.

[DEP125-B] Depleting Nine (9) (pip value 9) induces a 30-bps shift in Player 0..5 draws and a -31-bps shift in Banker stands; inside coordinate B4-P3(2), the dealer still draws a sixth card.

Depletion Matrix for DEP125 (Nine (9) at 291/416 Cards)
DEP125 MetricDEP125 Fresh 416-ShoeDEP125 At 291 DealtDEP125 Tableau Effect
[DEP125:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP125:Rank]32/416 (7.69%)8/125 (6.40%)Point Value 9
[DEP125:Shift]Baseline Draw/StandP 30 bps / B -31 bpsB4 Draw 2-7 Gate
[DEP125:Hand]P=4 vs B=4, P3=2P=6 vs B=16c (P)
  • [DEP125-1] Verify [DEP125] 125 unseen cards remain after 291/416 exit.
  • [DEP125-2] Compare [DEP125] Nine (9) density (8/125=6.40%) vs 7.69%.
  • [DEP125-3] Apply [DEP125] BANKER_TABLEAU[4][2]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP125

Why DEP125 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP125-C2] Auditioning [DEP125] at depth, Player opens 4 + 2 -> 6 while Banker opens 4 -> 1 across 6c (P in [DEP125]). Across [DEP125] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP125] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 8/125 in DEP125, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][2] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP125 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