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SHOE PENETRATION & DEPLETION [DEP097] · 40% DEPTH

Nine (9) Depletion at 166/416 Cards (40%): B4 Draw 2-7 Gate Impact #97

In shoe-depletion analysis DEP097, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Nine (9) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by 20 bps.

DEP097 Shoe Depth
166/416 (40%)
DEP097 9 Density
17/250 (6.80%)
DEP097 Draw Delta
20 bps
DEP097 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 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 40% shoe-penetration state DEP097 (Nine (9) -> 17/250).

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

DEP097 Penetration Depth
166 Dealt / 250 Remaining (40%)

Evaluated at Mid-Early Penetration (3.2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP097 Rank 9 Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Nine (9).

DEP097 Player Draw vs Banker Stand Shift
P-Draw 20 bps / B-Stand -9 bps

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

DEP097 Fixed Tableau Gate
BANKER_TABLEAU[4][2] = true

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

DEP097 Sample Coup Resolution
P(10+K)+2=2 vs B(A+3)=3 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP097.

COMBINATORIAL DEPLETION · DEP097

How Removing Nine (9) at 166 Cards Affects B4 Draw 2-7 Gate (DEP097)

Penetration profile [DEP097] fixes the shoe at 166 dealt and 250 remaining with 17 Nine (9) cards (6.80% density vs 7.69%), testing sensitivity of the Banker 4 active six-card draw window against 2..7.

[DEP097-B] Depleting Nine (9) (pip value 9) induces a 20-bps shift in Player 0..5 draws and a -9-bps shift in Banker stands; inside coordinate B4-P3(2), the dealer still draws a sixth card.

Depletion Matrix for DEP097 (Nine (9) at 166/416 Cards)
DEP097 MetricDEP097 Fresh 416-ShoeDEP097 At 166 DealtDEP097 Tableau Effect
[DEP097:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP097:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 9
[DEP097:Shift]Baseline Draw/StandP 20 bps / B -9 bpsB4 Draw 2-7 Gate
[DEP097:Hand]P=0 vs B=4, P3=2P=2 vs B=36c (B)
  • [DEP097-1] Verify [DEP097] 250 unseen cards remain after 166/416 exit.
  • [DEP097-2] Compare [DEP097] Nine (9) density (17/250=6.80%) vs 7.69%.
  • [DEP097-3] Apply [DEP097] BANKER_TABLEAU[4][2]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP097

Why DEP097 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP097-C1] Auditioning [DEP097] at depth, Player opens 0 + 2 -> 2 while Banker opens 4 -> 3 across 6c (B in [DEP097]). Across [DEP097] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP097] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 17/250 in DEP097, 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 166/416 cards in DEP097 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