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SHOE PENETRATION & DEPLETION [DEP167] · 40% DEPTH

Nine (9) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #167

In shoe-depletion analysis DEP167, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Nine (9) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by 37 bps.

DEP167 Shoe Depth
166/416 (40%)
DEP167 9 Density
15/250 (6.00%)
DEP167 Draw Delta
37 bps
DEP167 Tableau Gate
B5vP6: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 B B P P P P B P P B B P P B
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard trajectory paired with 40% shoe-penetration state DEP167 (Nine (9) -> 15/250).

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

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

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

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.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DEP167 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.

DEP167 Rank 9 Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Nine (9).

DEP167 Player Draw vs Banker Stand Shift
P-Draw 37 bps / B-Stand -33 bps

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

DEP167 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

Card removal alters entry probabilities into (5, 6) but never alters the fixed DRAW rule.

DEP167 Sample Coup Resolution
P(2+2)+6=0 vs B(A+4)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP167.

COMBINATORIAL DEPLETION · DEP167

How Removing Nine (9) at 166 Cards Affects B5 Draw 4-7 Gate (DEP167)

Penetration profile [DEP167] fixes the shoe at 166 dealt and 250 remaining with 15 Nine (9) cards (6.00% density vs 7.69%), testing sensitivity of the Banker 5 four-value draw threshold against 4..7.

[DEP167-B] Depleting Nine (9) (pip value 9) induces a 37-bps shift in Player 0..5 draws and a -33-bps shift in Banker stands; inside coordinate B5-P3(6), the dealer still draws a sixth card.

Depletion Matrix for DEP167 (Nine (9) at 166/416 Cards)
DEP167 MetricDEP167 Fresh 416-ShoeDEP167 At 166 DealtDEP167 Tableau Effect
[DEP167:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP167:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 9
[DEP167:Shift]Baseline Draw/StandP 37 bps / B -33 bpsB5 Draw 4-7 Gate
[DEP167:Hand]P=4 vs B=5, P3=6P=0 vs B=56c (B)
  • [DEP167-1] Verify [DEP167] 250 unseen cards remain after 166/416 exit.
  • [DEP167-2] Compare [DEP167] Nine (9) density (15/250=6.00%) vs 7.69%.
  • [DEP167-3] Apply [DEP167] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP167

Why DEP167 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP167-C10] Auditioning [DEP167] at depth, Player opens 4 + 6 -> 0 while Banker opens 5 -> 5 across 6c (B in [DEP167]). Across [DEP167] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP167] PPBBPBBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Nine (9) is depleted to 15/250 in DEP167, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][6] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP167 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