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SHOE PENETRATION & DEPLETION [DEP209] · 82% DEPTH

Nine (9) Depletion at 341/416 Cards (82%): B5 Draw 4-7 Gate Impact #209

In shoe-depletion analysis DEP209, 341 of 416 cards (82%) have exited the shoe, leaving 4 copies of Nine (9) among 75 unseen cards (5.33% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by 15 bps.

DEP209 Shoe Depth
341/416 (82%)
DEP209 9 Density
4/75 (5.33%)
DEP209 Draw Delta
15 bps
DEP209 Tableau Gate
B5vP4:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 82% shoe-penetration state DEP209 (Nine (9) -> 4/75).

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

DEP209 Penetration Depth
341 Dealt / 75 Remaining (82%)

Evaluated at Pre-Cut-Card Tail (6.5 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP209 Rank 9 Supply
4 of 32 Remaining (5.33%)

Compares depleted density 5.33% against fresh 8-deck baseline 7.69% for Nine (9).

DEP209 Player Draw vs Banker Stand Shift
P-Draw 15 bps / B-Stand -35 bps

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

DEP209 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

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

DEP209 Sample Coup Resolution
P(2+2)+4=8 vs B(A+4)=7 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP209.

COMBINATORIAL DEPLETION · DEP209

How Removing Nine (9) at 341 Cards Affects B5 Draw 4-7 Gate (DEP209)

Penetration profile [DEP209] fixes the shoe at 341 dealt and 75 remaining with 4 Nine (9) cards (5.33% density vs 7.69%), testing sensitivity of the Banker 5 four-value draw threshold against 4..7.

[DEP209-B] Depleting Nine (9) (pip value 9) induces a 15-bps shift in Player 0..5 draws and a -35-bps shift in Banker stands; inside coordinate B5-P3(4), the dealer still draws a sixth card.

Depletion Matrix for DEP209 (Nine (9) at 341/416 Cards)
DEP209 MetricDEP209 Fresh 416-ShoeDEP209 At 341 DealtDEP209 Tableau Effect
[DEP209:Shoe]416 Cards (0% Dealt)75 Left (82% Dealt)Pre-Cut-Card Tail (6.5 decks dealt)
[DEP209:Rank]32/416 (7.69%)4/75 (5.33%)Point Value 9
[DEP209:Shift]Baseline Draw/StandP 15 bps / B -35 bpsB5 Draw 4-7 Gate
[DEP209:Hand]P=4 vs B=5, P3=4P=8 vs B=76c (P)
  • [DEP209-1] Verify [DEP209] 75 unseen cards remain after 341/416 exit.
  • [DEP209-2] Compare [DEP209] Nine (9) density (4/75=5.33%) vs 7.69%.
  • [DEP209-3] Apply [DEP209] BANKER_TABLEAU[5][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP209

Why DEP209 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP209-C5] Auditioning [DEP209] at depth, Player opens 4 + 4 -> 8 while Banker opens 5 -> 7 across 6c (P in [DEP209]). Across [DEP209] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP209] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 4/75 in DEP209, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][4] remains true at every shoe depth.
MythDeep shoe penetration at 341/416 cards in DEP209 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