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SHOE PENETRATION & DEPLETION [DEP175] · 55% DEPTH

Three (3) Depletion at 229/416 Cards (55%): B5 Draw 4-7 Gate Impact #175

In shoe-depletion analysis DEP175, 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 B5 Draw 4-7 Gate frequency by -12 bps.

DEP175 Shoe Depth
229/416 (55%)
DEP175 3 Density
10/187 (5.35%)
DEP175 Draw Delta
-12 bps
DEP175 Tableau Gate
B5vP6: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 55% shoe-penetration state DEP175 (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 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

DEP175 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.

DEP175 Rank 3 Supply
10 of 32 Remaining (5.35%)

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

DEP175 Player Draw vs Banker Stand Shift
P-Draw -12 bps / B-Stand 15 bps

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

DEP175 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

Card removal alters entry probabilities into (5, 6) but never alters the fixed DRAW rule.

DEP175 Sample Coup Resolution
P(10+K)+6=6 vs B(A+4)=7 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP175.

COMBINATORIAL DEPLETION · DEP175

How Removing Three (3) at 229 Cards Affects B5 Draw 4-7 Gate (DEP175)

Composition analysis [DEP175] measures Three (3) scarcity at 229/416 cards: 10 left in 187 (5.35% vs 7.69%) changes arrival rates into the Banker 5 four-value draw threshold against 4..7.

[DEP175-B] Thinning Three (3) (3 pts) in [DEP175] produces a -12-bps Player draw delta and 15-bps Banker stand delta; nevertheless, Banker 5 facing 6 always draws a sixth card.

Depletion Matrix for DEP175 (Three (3) at 229/416 Cards)
DEP175 MetricDEP175 Fresh 416-ShoeDEP175 At 229 DealtDEP175 Tableau Effect
[DEP175:Shoe]416 Cards (0% Dealt)187 Left (55% Dealt)Mid-Shoe Crossover (4.4 decks dealt)
[DEP175:Rank]32/416 (7.69%)10/187 (5.35%)Point Value 3
[DEP175:Shift]Baseline Draw/StandP -12 bps / B 15 bpsB5 Draw 4-7 Gate
[DEP175:Hand]P=0 vs B=5, P3=6P=6 vs B=76c (B)
  • [DEP175-1] Verify [DEP175] 187 unseen cards remain after 229/416 exit.
  • [DEP175-2] Compare [DEP175] Three (3) density (10/187=5.35%) vs 7.69%.
  • [DEP175-3] Apply [DEP175] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP175

Why DEP175 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP175-C1] Auditioning [DEP175] at depth, Player opens 0 + 6 -> 6 while Banker opens 5 -> 7 across 6c (B in [DEP175]). Across [DEP175] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP175] PPBBBPPBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 10/187 in DEP175, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][6] remains true at every shoe depth.
MythDeep shoe penetration at 229/416 cards in DEP175 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