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SHOE PENETRATION & DEPLETION [DEP245] · 55% DEPTH

Three (3) Depletion at 229/416 Cards (55%): B6 Draw 6-7 Gate Impact #245

In shoe-depletion analysis DEP245, 229 of 416 cards (55%) have exited the shoe, leaving 12 copies of Three (3) among 187 unseen cards (6.42% vs baseline 7.69%) and shifting B6 Draw 6-7 Gate frequency by -29 bps.

DEP245 Shoe Depth
229/416 (55%)
DEP245 3 Density
12/187 (6.42%)
DEP245 Draw Delta
-29 bps
DEP245 Tableau Gate
B6vP6: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 P P B B P B B B P P P B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard trajectory paired with 55% shoe-penetration state DEP245 (Three (3) -> 12/187).

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 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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

DEP245 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.

DEP245 Rank 3 Supply
12 of 32 Remaining (6.42%)

Compares depleted density 6.42% against fresh 8-deck baseline 7.69% for Three (3).

DEP245 Player Draw vs Banker Stand Shift
P-Draw -29 bps / B-Stand 39 bps

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

DEP245 Fixed Tableau Gate
BANKER_TABLEAU[6][6] = true

Card removal alters entry probabilities into (6, 6) but never alters the fixed DRAW rule.

DEP245 Sample Coup Resolution
P(2+2)+6=0 vs B(2+4)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP245.

COMBINATORIAL DEPLETION · DEP245

How Removing Three (3) at 229 Cards Affects B6 Draw 6-7 Gate (DEP245)

Composition analysis [DEP245] measures Three (3) scarcity at 229/416 cards: 12 left in 187 (6.42% vs 7.69%) changes arrival rates into the Banker 6 two-value sixth-card trigger against 6 or 7.

[DEP245-B] Thinning Three (3) (3 pts) in [DEP245] produces a -29-bps Player draw delta and 39-bps Banker stand delta; nevertheless, Banker 6 facing 6 always draws a sixth card.

Depletion Matrix for DEP245 (Three (3) at 229/416 Cards)
DEP245 MetricDEP245 Fresh 416-ShoeDEP245 At 229 DealtDEP245 Tableau Effect
[DEP245:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP245:Rank]32/416 (7.69%)12/187 (6.42%)Point Value 3
[DEP245:Shift]Baseline Draw/StandP -29 bps / B 39 bpsB6 Draw 6-7 Gate
[DEP245:Hand]P=4 vs B=6, P3=6P=0 vs B=96c (B)
  • [DEP245-1] Verify [DEP245] 187 unseen cards remain after 229/416 exit.
  • [DEP245-2] Compare [DEP245] Three (3) density (12/187=6.42%) vs 7.69%.
  • [DEP245-3] Apply [DEP245] BANKER_TABLEAU[6][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP245

Why DEP245 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP245-C10] Auditioning [DEP245] at depth, Player opens 4 + 6 -> 0 while Banker opens 6 -> 9 across 6c (B in [DEP245]). Across [DEP245] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP245] PPBBBPPPPB updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 12/187 in DEP245, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[6][6] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP245 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