Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #238
FINAL TOTAL RESOLUTION [RES238] · 6-CARD PROOF

Player 3 + 9 (9) vs. Banker 3 (Draws 6 (6)): 6-Card Resolution #238

In walkthrough RES238, Player opens with 9+4 (3) and draws fifth-card 9 (9) for a modulo-10 total of 2, while Banker opens with 10+3 (3) and draws sixth-card 6 (6) for 9 (6-card B outcome).

RES238 Player Path
P:3->2
RES238 Banker Path
B:3->9
RES238 Deal Length
6 Cards
RES238 Showdown
B (2v9)
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 B B P P P P B B P B B B P
Big Eye Boy = = = = = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠
Small Road = = = ≠ ≠ = ≠ = ≠ = ≠ ≠ = ≠ ≠
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES238 (P3+9->2 vs B3->9).

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

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

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

RES238 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+3=3

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,3])=3.

RES238 Fifth-Card Modulo Proof
(3 + 9) mod 10 = 2 via 9

Player draws fifth-card 9 (value 9), transforming two-card 3 into three-card 2.

RES238 Banker Tableau Lookup
BANKER_TABLEAU[3][9] = true

Banker 3 draws sixth-card 6 (6) so (3+6) mod 10 = 9.

RES238 Card Count & Winner
6 Cards -> B (2 vs 9)

Computed directly from resolveHand() with zero discretionary dealer options.

RES238 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not B vs P.

MODULO-10 ARITHMETIC · RES238

Step-by-Step Card Arithmetic for RES238: P(9+4)+9 vs B(10+3)

Step-by-step proof [RES238] pairs Player 9+4 (3) with Banker 10+3 (3); because 3 sits in the 0..5 draw zone, fifth-card 9 (9) lands and 3+9=12 resolves the unit-digit sum to 2.

[RES238-B] Evaluating bankerShouldDraw(3, 9)=true (3-point single-shade row (0..7, 9)) in [RES238], sixth-card 6 (6) advances Banker 3 via 3+6=9 to 9.

Complete 6-Card Resolution Trace for RES238
RES238 StageRES238 CardsRES238 Modulo MathRES238 Status
[RES238:Init]P(9+4)=3 vs B(10+3)=3playerShouldDraw(3)=true4-Card Deal
[RES238:5th]Player +9 (9)(3+9) mod 10 = 25th Card Sideways
[RES238:6th]Banker +6 (6)(3+6) mod 10 = 96-Card Final
[RES238:Settle]P=2 vs B=9Winner: BBig Road +B
  • [RES238-1] Confirm [RES238] opening P=3 (9+4) and B=3 (10+3) lack Natural 8/9.
  • [RES238-2] Add [RES238] fifth-card 9 (9) to P=3 for (3+9) mod 10 = 2.
  • [RES238-3] Run [RES238] BANKER_TABLEAU[3][9]=true to settle 2 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES238

Showdown Settlement & Scoreboard Logging for RES238 (2 vs 9)

[RES238-C9] Comparing [RES238] final totals (6c), Player 2 vs Banker 9 awards [RES238] to Banker (B), which pays 0.95:1 on 5%-commission [RES238] layouts (or 0.5:1 on 6 at No-Commission [RES238] tables) and appends B to PPBBPPBBBP.

[RES238-D5] Side-bet & road check for [RES238] (P3+9->2 vs B3->9, 6c): [RES238] leaves [RES238] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES238] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES238] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES238, Banker 3 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[3][9] = true.
MythBecause RES238 resolves as B, the next derived-road mark must match B's colour.
TruthDerived roads record Red (=) when Big Road structure repeats and Blue (≠) when it breaks—never Banker or Player.
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