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SHOE PENETRATION & DEPLETION [DEP150] · 25% DEPTH

Six (6) Depletion at 104/416 Cards (25%): B5 Draw 4-7 Gate Impact #150

In shoe-depletion analysis DEP150, 104 of 416 cards (25%) have exited the shoe, leaving 21 copies of Six (6) among 312 unseen cards (6.73% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by 17 bps.

DEP150 Shoe Depth
104/416 (25%)
DEP150 6 Density
21/312 (6.73%)
DEP150 Draw Delta
17 bps
DEP150 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 25% shoe-penetration state DEP150 (Six (6) -> 21/312).

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

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

DEP150 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.

DEP150 Rank 6 Supply
21 of 32 Remaining (6.73%)

Compares depleted density 6.73% against fresh 8-deck baseline 7.69% for Six (6).

DEP150 Player Draw vs Banker Stand Shift
P-Draw 17 bps / B-Stand -23 bps

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

DEP150 Fixed Tableau Gate
BANKER_TABLEAU[5][5] = true

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

DEP150 Sample Coup Resolution
P(A+4)+5=0 vs B(2+3)=5 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP150.

COMBINATORIAL DEPLETION · DEP150

How Removing Six (6) at 104 Cards Affects B5 Draw 4-7 Gate (DEP150)

In depletion audit [DEP150], an 8-deck shoe reaches Early-Shoe Quarter Marker (2 decks dealt) with 312 cards left and 21 copies of Six (6) (6.73% vs 7.69%), directly shifting the Banker 5 four-value draw threshold against 4..7.

[DEP150-B] With Six (6) valued at 6 mod 10, its removal moves Player fifth-card draw entry by 17 bps and Banker pat rate by -23 bps; yet inside cell (B=5, P3=5), Banker deterministically draws a sixth card.

Depletion Matrix for DEP150 (Six (6) at 104/416 Cards)
DEP150 MetricDEP150 Fresh 416-ShoeDEP150 At 104 DealtDEP150 Tableau Effect
[DEP150:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP150:Rank]32/416 (7.69%)21/312 (6.73%)Point Value 6
[DEP150:Shift]Baseline Draw/StandP 17 bps / B -23 bpsB5 Draw 4-7 Gate
[DEP150:Hand]P=5 vs B=5, P3=5P=0 vs B=56c (B)
  • [DEP150-1] Verify [DEP150] 312 unseen cards remain after 104/416 exit.
  • [DEP150-2] Compare [DEP150] Six (6) density (21/312=6.73%) vs 7.69%.
  • [DEP150-3] Apply [DEP150] BANKER_TABLEAU[5][5]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP150

Why DEP150 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP150-C8] Auditioning [DEP150] at depth, Player opens 5 + 5 -> 0 while Banker opens 5 -> 5 across 6c (B in [DEP150]). Across [DEP150] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP150] BBPPBPPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Six (6) is depleted to 21/312 in DEP150, 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 104/416 cards in DEP150 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