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SHOE PENETRATION & DEPLETION [DEP083] · 25% DEPTH

Nine (9) Depletion at 104/416 Cards (25%): B4 Draw 2-7 Gate Impact #83

In shoe-depletion analysis DEP083, 104 of 416 cards (25%) have exited the shoe, leaving 20 copies of Nine (9) among 312 unseen cards (6.41% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by 15 bps.

DEP083 Shoe Depth
104/416 (25%)
DEP083 9 Density
20/312 (6.41%)
DEP083 Draw Delta
15 bps
DEP083 Tableau Gate
B4vP4: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 B B B P P P P B B P B P P
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard trajectory paired with 25% shoe-penetration state DEP083 (Nine (9) -> 20/312).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

DEP083 Penetration Depth
104 Dealt / 312 Remaining (25%)

Evaluated at Early-Shoe Quarter Marker (2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP083 Rank 9 Supply
20 of 32 Remaining (6.41%)

Compares depleted density 6.41% against fresh 8-deck baseline 7.69% for Nine (9).

DEP083 Player Draw vs Banker Stand Shift
P-Draw 15 bps / B-Stand -29 bps

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

DEP083 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

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

DEP083 Sample Coup Resolution
P(2+2)+4=8 vs B(A+3)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP083.

COMBINATORIAL DEPLETION · DEP083

How Removing Nine (9) at 104 Cards Affects B4 Draw 2-7 Gate (DEP083)

Penetration profile [DEP083] fixes the shoe at 104 dealt and 312 remaining with 20 Nine (9) cards (6.41% density vs 7.69%), testing sensitivity of the Banker 4 active six-card draw window against 2..7.

[DEP083-B] Depleting Nine (9) (pip value 9) induces a 15-bps shift in Player 0..5 draws and a -29-bps shift in Banker stands; inside coordinate B4-P3(4), the dealer still draws a sixth card.

Depletion Matrix for DEP083 (Nine (9) at 104/416 Cards)
DEP083 MetricDEP083 Fresh 416-ShoeDEP083 At 104 DealtDEP083 Tableau Effect
[DEP083:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP083:Rank]32/416 (7.69%)20/312 (6.41%)Point Value 9
[DEP083:Shift]Baseline Draw/StandP 15 bps / B -29 bpsB4 Draw 2-7 Gate
[DEP083:Hand]P=4 vs B=4, P3=4P=8 vs B=96c (B)
  • [DEP083-1] Verify [DEP083] 312 unseen cards remain after 104/416 exit.
  • [DEP083-2] Compare [DEP083] Nine (9) density (20/312=6.41%) vs 7.69%.
  • [DEP083-3] Apply [DEP083] BANKER_TABLEAU[4][4]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP083

Why DEP083 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP083-C7] Auditioning [DEP083] at depth, Player opens 4 + 4 -> 8 while Banker opens 4 -> 9 across 6c (B in [DEP083]). Across [DEP083] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP083] PPBBPBPBBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 20/312 in DEP083, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][4] remains true at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP083 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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