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SHOE PENETRATION & DEPLETION [DEP315] · 55% DEPTH

Three (3) Depletion at 229/416 Cards (55%): P0-5 vs B-Stand Impact #315

In shoe-depletion analysis DEP315, 229 of 416 cards (55%) have exited the shoe, leaving 10 copies of Three (3) among 187 unseen cards (5.35% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -46 bps.

DEP315 Shoe Depth
229/416 (55%)
DEP315 3 Density
10/187 (5.35%)
DEP315 Draw Delta
-46 bps
DEP315 Tableau Gate
B2vP2: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 P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard trajectory paired with 55% shoe-penetration state DEP315 (Three (3) -> 10/187).

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

DEP315 Penetration Depth
229 Dealt / 187 Remaining (55%)

Evaluated at Mid-Shoe Crossover (4.4 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP315 Rank 3 Supply
10 of 32 Remaining (5.35%)

Compares depleted density 5.35% against fresh 8-deck baseline 7.69% for Three (3).

DEP315 Player Draw vs Banker Stand Shift
P-Draw -46 bps / B-Stand 32 bps

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

DEP315 Fixed Tableau Gate
BANKER_TABLEAU[2][2] = true

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

DEP315 Sample Coup Resolution
P(10+2)+2=4 vs B(8+4)=1 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP315.

COMBINATORIAL DEPLETION · DEP315

How Removing Three (3) at 229 Cards Affects P0-5 vs B-Stand (DEP315)

Composition analysis [DEP315] measures Three (3) scarcity at 229/416 cards: 10 left in 187 (5.35% vs 7.69%) changes arrival rates into the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP315-B] Thinning Three (3) (3 pts) in [DEP315] produces a -46-bps Player draw delta and 32-bps Banker stand delta; nevertheless, Banker 2 facing 2 always draws a sixth card.

Depletion Matrix for DEP315 (Three (3) at 229/416 Cards)
DEP315 MetricDEP315 Fresh 416-ShoeDEP315 At 229 DealtDEP315 Tableau Effect
[DEP315:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP315:Rank]32/416 (7.69%)10/187 (5.35%)Point Value 3
[DEP315:Shift]Baseline Draw/StandP -46 bps / B 32 bpsP0-5 vs B-Stand
[DEP315:Hand]P=2 vs B=2, P3=2P=4 vs B=16c (P)
  • [DEP315-1] Verify [DEP315] 187 unseen cards remain after 229/416 exit.
  • [DEP315-2] Compare [DEP315] Three (3) density (10/187=5.35%) vs 7.69%.
  • [DEP315-3] Apply [DEP315] BANKER_TABLEAU[2][2]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP315

Why DEP315 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP315-C6] Auditioning [DEP315] at depth, Player opens 2 + 2 -> 4 while Banker opens 2 -> 1 across 6c (P in [DEP315]). Across [DEP315] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP315] PPBBPBPPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 10/187 in DEP315, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[2][2] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP315 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