Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Depletion #161
SHOE PENETRATION & DEPLETION [DEP161] · 40% DEPTH

Three (3) Depletion at 166/416 Cards (40%): B5 Draw 4-7 Gate Impact #161

In shoe-depletion analysis DEP161, 166 of 416 cards (40%) have exited the shoe, leaving 17 copies of Three (3) among 250 unseen cards (6.80% vs baseline 7.69%) and shifting B5 Draw 4-7 Gate frequency by -44 bps.

DEP161 Shoe Depth
166/416 (40%)
DEP161 3 Density
17/250 (6.80%)
DEP161 Draw Delta
-44 bps
DEP161 Tableau Gate
B5vP4:DRAW
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B P P B P B P P B B B P P P P B B
Big Eye Boy = = = = ≠ = = ≠ ≠ = ≠ ≠ = = ≠ ≠ =
Small Road = = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ = ≠ =
Cockroach Pig ≠ ≠ ≠ ≠ ≠ ≠ = ≠ ≠ = = ≠ =

Scoreboard trajectory paired with 40% shoe-penetration state DEP161 (Three (3) -> 17/250).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

DEP161 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.

DEP161 Rank 3 Supply
17 of 32 Remaining (6.80%)

Compares depleted density 6.80% against fresh 8-deck baseline 7.69% for Three (3).

DEP161 Player Draw vs Banker Stand Shift
P-Draw -44 bps / B-Stand 35 bps

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

DEP161 Fixed Tableau Gate
BANKER_TABLEAU[5][4] = true

Card removal alters entry probabilities into (5, 4) but never alters the fixed DRAW rule.

DEP161 Sample Coup Resolution
P(2+2)+4=8 vs B(A+4)=3 (P)

Verified 6-card hand via resolveHand() at penetration checkpoint DEP161.

COMBINATORIAL DEPLETION · DEP161

How Removing Three (3) at 166 Cards Affects B5 Draw 4-7 Gate (DEP161)

Composition analysis [DEP161] measures Three (3) scarcity at 166/416 cards: 17 left in 250 (6.80% vs 7.69%) changes arrival rates into the Banker 5 four-value draw threshold against 4..7.

[DEP161-B] Thinning Three (3) (3 pts) in [DEP161] produces a -44-bps Player draw delta and 35-bps Banker stand delta; nevertheless, Banker 5 facing 4 always draws a sixth card.

Depletion Matrix for DEP161 (Three (3) at 166/416 Cards)
DEP161 MetricDEP161 Fresh 416-ShoeDEP161 At 166 DealtDEP161 Tableau Effect
[DEP161:Shoe]416 Cards (0% Dealt)250 Left (40% Dealt)Mid-Early Penetration (3.2 decks dealt)
[DEP161:Rank]32/416 (7.69%)17/250 (6.80%)Point Value 3
[DEP161:Shift]Baseline Draw/StandP -44 bps / B 35 bpsB5 Draw 4-7 Gate
[DEP161:Hand]P=4 vs B=5, P3=4P=8 vs B=36c (P)
  • [DEP161-1] Verify [DEP161] 250 unseen cards remain after 166/416 exit.
  • [DEP161-2] Compare [DEP161] Three (3) density (17/250=6.80%) vs 7.69%.
  • [DEP161-3] Apply [DEP161] BANKER_TABLEAU[5][4]=true (6c P).
INDEPENDENCE & ROAD LOGGING · DEP161

Why DEP161 Card Depletion Never Changes Tableau Law or Derived Road Meaning

[DEP161-C7] Auditioning [DEP161] at depth, Player opens 4 + 4 -> 8 while Banker opens 5 -> 3 across 6c (P in [DEP161]). Across [DEP161] 8-deck shoes, main-bet house edge stays near 1.06% (Banker) and 1.24% (Player), and logging P onto [DEP161] PPBBPPBPBP updates derived roads by Big Road column symmetry.

Table Reality Check

Myth vs. Truth

MythWhen Three (3) is depleted to 17/250 in DEP161, the dealer can choose to stand on a drawing Banker total.
TruthPunto Banco third-card rules are 100% mandatory: BANKER_TABLEAU[5][4] remains true at every shoe depth.
MythDeep shoe penetration at 166/416 cards in DEP161 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