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SHOE PENETRATION & DEPLETION [DEP301] · 40% DEPTH

Three (3) Depletion at 166/416 Cards (40%): P0-5 vs B-Stand Impact #301

In shoe-depletion analysis DEP301, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Three (3) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -41 bps.

DEP301 Shoe Depth
166/416 (40%)
DEP301 3 Density
17/250 (6.80%)
DEP301 Draw Delta
-41 bps
DEP301 Tableau Gate
B2vP0: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 P B B P B B B P P P B P P
Big Eye Boy = = ≠ = ≠ ≠ = = ≠ ≠ = ≠ = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ ≠ ≠ = ≠ ≠ =
Cockroach Pig ≠ = = ≠ ≠ = = ≠ ≠ = ≠ ≠ = =

Scoreboard trajectory paired with 40% shoe-penetration state DEP301 (Three (3) -> 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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 2.

Verified Reference Data

Key Facts & Table Specifications

DEP301 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.

DEP301 Rank 3 Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Three (3).

DEP301 Player Draw vs Banker Stand Shift
P-Draw -41 bps / B-Stand 21 bps

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

DEP301 Fixed Tableau Gate
BANKER_TABLEAU[2][0] = true

Card removal alters entry probabilities into (2, 0) but never alters the fixed DRAW rule.

DEP301 Sample Coup Resolution
P(10+K)+10=0 vs B(8+4)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP301.

COMBINATORIAL DEPLETION · DEP301

How Removing Three (3) at 166 Cards Affects P0-5 vs B-Stand (DEP301)

Composition analysis [DEP301] measures Three (3) scarcity at 166/416 cards: 17 left in 250 (6.80% vs 7.69%) changes arrival rates into the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP301-B] Thinning Three (3) (3 pts) in [DEP301] produces a -41-bps Player draw delta and 21-bps Banker stand delta; nevertheless, Banker 2 facing 0 always draws a sixth card.

Depletion Matrix for DEP301 (Three (3) at 166/416 Cards)
DEP301 MetricDEP301 Fresh 416-ShoeDEP301 At 166 DealtDEP301 Tableau Effect
[DEP301:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP301:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 3
[DEP301:Shift]Baseline Draw/StandP -41 bps / B 21 bpsP0-5 vs B-Stand
[DEP301:Hand]P=0 vs B=2, P3=0P=0 vs B=76c (B)
  • [DEP301-1] Verify [DEP301] 250 unseen cards remain after 166/416 exit.
  • [DEP301-2] Compare [DEP301] Three (3) density (17/250=6.80%) vs 7.69%.
  • [DEP301-3] Apply [DEP301] BANKER_TABLEAU[2][0]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP301

Why DEP301 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP301-C12] Auditioning [DEP301] at depth, Player opens 0 + 0 -> 0 while Banker opens 2 -> 7 across 6c (B in [DEP301]). Across [DEP301] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP301] PPBBPBPPBB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 17/250 in DEP301, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][0] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP301 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