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SHOE PENETRATION & DEPLETION [DEP159] · 40% DEPTH

Ace (A) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #159

In shoe-depletion analysis DEP159, 166 of 416 cards (40%) have exited the shoe, leaving 15 copies of Ace (A) among 250 unseen cards (6.00% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -34 bps.

DEP159 Shoe Depth
166/416 (40%)
DEP159 A Density
15/250 (6.00%)
DEP159 Draw Delta
-34 bps
DEP159 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 40% shoe-penetration state DEP159 (Ace (A) -> 15/250).

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

DEP159 Penetration Depth
166 Dealt / 250 Remaining (40%)

Evaluated at Mid-Early Penetration (3.2 decks dealt) in a standard 8-deck (416-card) Punto Banco shoe.

DEP159 Rank A Supply
15 of 32 Remaining (6.00%)

Compares depleted density 6.00% against fresh 8-deck baseline 7.69% for Ace (A).

DEP159 Player Draw vs Banker Stand Shift
P-Draw -34 bps / B-Stand 15 bps

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

DEP159 Fixed Tableau Gate
BANKER_TABLEAU[5][6] = true

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

DEP159 Sample Coup Resolution
P(10+2)+6=8 vs B(A+4)=9 (B)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP159.

COMBINATORIAL DEPLETION · DEP159

How Removing Ace (A) at 166 Cards Affects B5 Draw 4-7 Gate (DEP159)

Tracking [DEP159] across 166/416 dealt cards leaves 15 remaining Ace (A) cards in the 250-card stub (6.00% vs baseline 7.69%), reshaping probabilities for the Banker 5 four-value draw threshold against 4..7.

[DEP159-B] Point value 1 (Ace (A)) directly feeds two-card sums: depleting it alters Player draw likelihood by -34 bps and Banker stand frequency by 15 bps, while Banker 5 vs P3=6 always draws a sixth card.

Depletion Matrix for DEP159 (Ace (A) at 166/416 Cards)
DEP159 MetricDEP159 Fresh 416-ShoeDEP159 At 166 DealtDEP159 Tableau Effect
[DEP159:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP159:Rank]32/416 (7.69%)15/250 (6.00%)Point Value 1
[DEP159:Shift]Baseline Draw/StandP -34 bps / B 15 bpsB5 Draw 4-7 Gate
[DEP159:Hand]P=2 vs B=5, P3=6P=8 vs B=96c (B)
  • [DEP159-1] Verify [DEP159] 250 unseen cards remain after 166/416 exit.
  • [DEP159-2] Compare [DEP159] Ace (A) density (15/250=6.00%) vs 7.69%.
  • [DEP159-3] Apply [DEP159] BANKER_TABLEAU[5][6]=true (6c B).
INDEPENDENCE & ROAD LOGGING · DEP159

Why DEP159 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP159-C6] Auditioning [DEP159] at depth, Player opens 2 + 6 -> 8 while Banker opens 5 -> 9 across 6c (B in [DEP159]). Across [DEP159] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging B onto [DEP159] PPBBBPPBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Ace (A) is depleted to 15/250 in DEP159, 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 166/416 cards in DEP159 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