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SHOE PENETRATION & DEPLETION [DEP166] · 40% DEPTH

Eight (8) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #166

In shoe-depletion analysis DEP166, 166 of 416 cards (40%) have exited the shoe, leaving 16 copies of Eight (8) among 250 unseen cards (6.40% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by 32 bps.

DEP166 Shoe Depth
166/416 (40%)
DEP166 8 Density
16/250 (6.40%)
DEP166 Draw Delta
32 bps
DEP166 Tableau Gate
B5vP5:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with 40% shoe-penetration state DEP166 (Eight (8) -> 16/250).

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

DEP166 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.

DEP166 Rank 8 Supply
16 of 32 Remaining (6.40%)

Compares depleted density 6.40% against fresh 8-deck baseline 7.69% for Eight (8).

DEP166 Player Draw vs Banker Stand Shift
P-Draw 32 bps / B-Stand -23 bps

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

DEP166 Fixed Tableau Gate
BANKER_TABLEAU[5][5] = true

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

DEP166 Sample Coup Resolution
P(9+4)+5=8 vs B(2+3)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP166.

COMBINATORIAL DEPLETION · DEP166

How Removing Eight (8) at 166 Cards Affects B5 Draw 4-7 Gate (DEP166)

Eight-deck checkpoint [DEP166] (Mid-Early Penetration (3.2 decks dealt)) isolates 16 remaining Eight (8) cards across 250 unseen slots (6.40% vs fresh 7.69%) against the Banker 5 four-value draw threshold against 4..7.

[DEP166-B] Card-counting audits of [DEP166] show Eight (8) (value 8) moving Player draw rate by 32 bps and Banker stand rate by -23 bps, while tableau cell [5][5] draws a sixth card.

Depletion Matrix for DEP166 (Eight (8) at 166/416 Cards)
DEP166 MetricDEP166 Fresh 416-ShoeDEP166 At 166 DealtDEP166 Tableau Effect
[DEP166:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP166:Rank]32/416 (7.69%)16/250 (6.40%)Point Value 8
[DEP166:Shift]Baseline Draw/StandP 32 bps / B -23 bpsB5 Draw 4-7 Gate
[DEP166:Hand]P=3 vs B=5, P3=5P=8 vs B=36c (P)
  • [DEP166-1] Verify [DEP166] 250 unseen cards remain after 166/416 exit.
  • [DEP166-2] Compare [DEP166] Eight (8) density (16/250=6.40%) vs 7.69%.
  • [DEP166-3] Apply [DEP166] BANKER_TABLEAU[5][5]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP166

Why DEP166 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP166-C3] Auditioning [DEP166] at depth, Player opens 3 + 5 -> 8 while Banker opens 5 -> 3 across 6c (P in [DEP166]). Across [DEP166] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP166] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Eight (8) is depleted to 16/250 in DEP166, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][5] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP166 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.
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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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