Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Depletion #7
SHOE PENETRATION & DEPLETION [DEP007] · 25% DEPTH

Three (3) Depletion at 104/416 Cards (25%): B3 vs P3=8 Shade Impact #7

In shoe-depletion analysis DEP007, 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 B3 vs P3=8 Shade frequency by -42 bps.

DEP007 Shoe Depth
104/416 (25%)
DEP007 3 Density
20/312 (6.41%)
DEP007 Draw Delta
-42 bps
DEP007 Tableau Gate
B3vP8:STAND
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 25% shoe-penetration state DEP007 (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 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

DEP007 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.

DEP007 Rank 3 Supply
20 of 32 Remaining (6.41%)

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

DEP007 Player Draw vs Banker Stand Shift
P-Draw -42 bps / B-Stand 38 bps

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

DEP007 Fixed Tableau Gate
BANKER_TABLEAU[3][8] = false

Card removal alters entry probabilities into (3, 8) but never alters the fixed STAND rule.

DEP007 Sample Coup Resolution
P(10+K)+8=8 vs B(9+4)=3 (P)

Verified 5-card hand via resolveHand() at penetration checkpoint DEP007.

COMBINATORIAL DEPLETION · DEP007

How Removing Three (3) at 104 Cards Affects B3 vs P3=8 Shade (DEP007)

Composition analysis [DEP007] measures Three (3) scarcity at 104/416 cards: 20 left in 312 (6.41% vs 7.69%) changes arrival rates into the Banker 3 standing exception on Player third-card 8.

[DEP007-B] Thinning Three (3) (3 pts) in [DEP007] produces a -42-bps Player draw delta and 38-bps Banker stand delta; nevertheless, Banker 3 facing 8 always stands pat on five cards.

Depletion Matrix for DEP007 (Three (3) at 104/416 Cards)
DEP007 MetricDEP007 Fresh 416-ShoeDEP007 At 104 DealtDEP007 Tableau Effect
[DEP007:Shoe]416 Cards (0% Dealt)312 Left (25% Dealt)Early-Shoe Quarter Marker (2 decks dealt)
[DEP007:Rank]32/416 (7.69%)20/312 (6.41%)Point Value 3
[DEP007:Shift]Baseline Draw/StandP -42 bps / B 38 bpsB3 vs P3=8 Shade
[DEP007:Hand]P=0 vs B=3, P3=8P=8 vs B=35c (P)
  • [DEP007-1] Verify [DEP007] 312 unseen cards remain after 104/416 exit.
  • [DEP007-2] Compare [DEP007] Three (3) density (20/312=6.41%) vs 7.69%.
  • [DEP007-3] Apply [DEP007] BANKER_TABLEAU[3][8]=false (5c P).
INDEPENDENCE & ROAD LOGGING · DEP007

Why DEP007 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP007-C8] Auditioning [DEP007] at depth, Player opens 0 + 8 -> 8 while Banker opens 3 -> 3 across 5c (P in [DEP007]). Across [DEP007] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP007] PPBBPBBBPP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 20/312 in DEP007, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[3][8] remains false at every shoe depth.
MythDeep shoe penetration at 104/416 cards in DEP007 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