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SHOE PENETRATION & DEPLETION [DEP119] · 70% DEPTH

Three (3) Depletion at 291/416 Cards (70%): B4 Draw 2-7 Gate Impact #119

In shoe-depletion analysis DEP119, 291 of 416 cards (70%) have exited the shoe, leaving 6 copies of Three (3) among 125 unseen cards (4.80% vs baseline 7.69%) and shifting B4 Draw 2-7 Gate frequency by -37 bps.

DEP119 Shoe Depth
291/416 (70%)
DEP119 3 Density
6/125 (4.80%)
DEP119 Draw Delta
-37 bps
DEP119 Tableau Gate
B4vP4: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 B B P P P P B P P B B P P B
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard trajectory paired with 70% shoe-penetration state DEP119 (Three (3) -> 6/125).

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

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

DEP119 Penetration Depth
291 Dealt / 125 Remaining (70%)

Evaluated at Deep-Shoe Segment (5.6 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP119 Rank 3 Supply
6 of 32 Remaining (4.80%)

Compares depleted density 4.80% against fresh 8-deck baseline 7.69% for Three (3).

DEP119 Player Draw vs Banker Stand Shift
P-Draw -37 bps / B-Stand 33 bps

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

DEP119 Fixed Tableau Gate
BANKER_TABLEAU[4][4] = true

Card removal alters entry probabilities into (4, 4) but never alters the fixed DRAW rule.

DEP119 Sample Coup Resolution
P(2+2)+4=8 vs B(A+3)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP119.

COMBINATORIAL DEPLETION · DEP119

How Removing Three (3) at 291 Cards Affects B4 Draw 2-7 Gate (DEP119)

Composition analysis [DEP119] measures Three (3) scarcity at 291/416 cards: 6 left in 125 (4.80% vs 7.69%) changes arrival rates into the Banker 4 active six-card draw window against 2..7.

[DEP119-B] Thinning Three (3) (3 pts) in [DEP119] produces a -37-bps Player draw delta and 33-bps Banker stand delta; nevertheless, Banker 4 facing 4 always draws a sixth card.

Depletion Matrix for DEP119 (Three (3) at 291/416 Cards)
DEP119 MetricDEP119 Fresh 416-ShoeDEP119 At 291 DealtDEP119 Tableau Effect
[DEP119:Shoe]416 Cards (0% Dealt)125 Left (70% Dealt)Deep-Shoe Segment (5.6 decks dealt)
[DEP119:Rank]32/416 (7.69%)6/125 (4.80%)Point Value 3
[DEP119:Shift]Baseline Draw/StandP -37 bps / B 33 bpsB4 Draw 2-7 Gate
[DEP119:Hand]P=4 vs B=4, P3=4P=8 vs B=96c (B)
  • [DEP119-1] Verify [DEP119] 125 unseen cards remain after 291/416 exit.
  • [DEP119-2] Compare [DEP119] Three (3) density (6/125=4.80%) vs 7.69%.
  • [DEP119-3] Apply [DEP119] BANKER_TABLEAU[4][4]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP119

Why DEP119 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP119-C12] Auditioning [DEP119] at depth, Player opens 4 + 4 -> 8 while Banker opens 4 -> 9 across 6c (B in [DEP119]). Across [DEP119] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP119] PPBBPBBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 6/125 in DEP119, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[4][4] remains true at every shoe depth.
MythDeep shoe penetration at 291/416 cards in DEP119 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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