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SHOE PENETRATION & DEPLETION [DEP287] · 25% DEPTH

Three (3) Depletion at 104/416 Cards (25%): P0-5 vs B-Stand Impact #287

In shoe-depletion analysis DEP287, 104 of 416 cards (25%) have exited the shoe, leaving 20 copies of Three (3) among 312 unseen cards (6.41% vs baseline 7.69%) and shifting P0-5 vs B-Stand frequency by -36 bps.

DEP287 Shoe Depth
104/416 (25%)
DEP287 3 Density
20/312 (6.41%)
DEP287 Draw Delta
-36 bps
DEP287 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 B P P B P P B B P B B B P P P P
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard trajectory paired with 25% shoe-penetration state DEP287 (Three (3) -> 20/312).

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  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 3 beads. Different depth → blue (≠).

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

DEP287 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.

DEP287 Rank 3 Supply
20 of 32 Remaining (6.41%)

Compares depleted density 6.41% against fresh 8-deck baseline 7.69% for Three (3).

DEP287 Player Draw vs Banker Stand Shift
P-Draw -36 bps / B-Stand 10 bps

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

DEP287 Fixed Tableau Gate
BANKER_TABLEAU[2][2] = true

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

DEP287 Sample Coup Resolution
P(2+2)+2=6 vs B(8+4)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP287.

COMBINATORIAL DEPLETION · DEP287

How Removing Three (3) at 104 Cards Affects P0-5 vs B-Stand (DEP287)

Composition analysis [DEP287] measures Three (3) scarcity at 104/416 cards: 20 left in 312 (6.41% vs 7.69%) changes arrival rates into the Player 0..5 fifth-card draw rate versus Banker 6..7 stand rate.

[DEP287-B] Thinning Three (3) (3 pts) in [DEP287] produces a -36-bps Player draw delta and 10-bps Banker stand delta; nevertheless, Banker 2 facing 2 always draws a sixth card.

Depletion Matrix for DEP287 (Three (3) at 104/416 Cards)
DEP287 MetricDEP287 Fresh 416-ShoeDEP287 At 104 DealtDEP287 Tableau Effect
[DEP287:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP287:Rank]32/416 (7.69%)20/312 (6.41%)Point Value 3
[DEP287:Shift]Baseline Draw/StandP -36 bps / B 10 bpsP0-5 vs B-Stand
[DEP287:Hand]P=4 vs B=2, P3=2P=6 vs B=36c (P)
  • [DEP287-1] Verify [DEP287] 312 unseen cards remain after 104/416 exit.
  • [DEP287-2] Compare [DEP287] Three (3) density (20/312=6.41%) vs 7.69%.
  • [DEP287-3] Apply [DEP287] BANKER_TABLEAU[2][2]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP287

Why DEP287 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP287-C5] Auditioning [DEP287] at depth, Player opens 4 + 2 -> 6 while Banker opens 2 -> 3 across 6c (P in [DEP287]). Across [DEP287] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP287] PPBBBPPBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 20/312 in DEP287, 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 104/416 cards in DEP287 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