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SHOE PENETRATION & DEPLETION [DEP321] · 55% DEPTH

Nine (9) Depletion at 229/416 Cards (55%): P0-5 vs B-Stand Impact #321

In shoe-depletion analysis DEP321, 229 of 416 cards (55%) have exited the shoe, leaving 12 copies of Nine (9) among 187 unseen cards (6.42% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by 39 bps.

DEP321 Shoe Depth
229/416 (55%)
DEP321 9 Density
12/187 (6.42%)
DEP321 Draw Delta
39 bps
DEP321 Tableau Gate
B2vP0: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 55% shoe-penetration state DEP321 (Nine (9) -> 12/187).

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

DEP321 Penetration Depth
229 Dealt / 187 Remaining (55%)

Evaluated at Mid-Shoe Crossover (4.4 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP321 Rank 9 Supply
12 of 32 Remaining (6.42%)

Compares depleted density 6.42% against fresh 8-deck baseline 7.69% for Nine (9).

DEP321 Player Draw vs Banker Stand Shift
P-Draw 39 bps / B-Stand -30 bps

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

DEP321 Fixed Tableau Gate
BANKER_TABLEAU[2][0] = true

Card removal alters entry probabilities into (2, 0) but never alters the fixed DRAW rule.

DEP321 Sample Coup Resolution
P(10+2)+10=2 vs B(8+4)=3 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP321.

COMBINATORIAL DEPLETION · DEP321

How Removing Nine (9) at 229 Cards Affects P0-5 vs B-Stand (DEP321)

Penetration profile [DEP321] fixes the shoe at 229 dealt and 187 remaining with 12 Nine (9) cards (6.42% density vs 7.69%), testing sensitivity of the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP321-B] Depleting Nine (9) (pip value 9) induces a 39-bps shift in Player 0..5 draws and a -30-bps shift in Banker stands; inside coordinate B2-P3(0), the dealer still draws a sixth card.

Depletion Matrix for DEP321 (Nine (9) at 229/416 Cards)
DEP321 MetricDEP321 Fresh 416-ShoeDEP321 At 229 DealtDEP321 Tableau Effect
[DEP321:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP321:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 9
[DEP321:Shift]Baseline Draw/StandP 39 bps / B -30 bpsP0-5 vs B-Stand
[DEP321:Hand]P=2 vs B=2, P3=0P=2 vs B=36c (B)
  • [DEP321-1] Verify [DEP321] 187 unseen cards remain after 229/416 exit.
  • [DEP321-2] Compare [DEP321] Nine (9) density (12/187=6.42%) vs 7.69%.
  • [DEP321-3] Apply [DEP321] BANKER_TABLEAU[2][0]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP321

Why DEP321 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP321-C9] Auditioning [DEP321] at depth, Player opens 2 + 0 -> 2 while Banker opens 2 -> 3 across 6c (B in [DEP321]). Across [DEP321] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP321] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 12/187 in DEP321, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][0] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP321 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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