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FINAL TOTAL RESOLUTION [RES058] · 6-CARD PROOF

Player 3 + 9 (9) vs. Banker 0 (Draws 3 (3)): 6-Card Resolution #58

In walkthrough RES058, Player opens with 9+4 (3) and draws fifth-card 9 (9) for a modulo-10 total of 2, while Banker opens with 6+4 (0) and draws sixth-card 3 (3) for 3 (6-card B outcome).

RES058 Player Path
P:3->2
RES058 Banker Path
B:0->3
RES058 Deal Length
6 Cards
RES058 Showdown
B (2v3)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road P P B B B P P P P B B P B B B P P P B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES058 (P3+9->2 vs B0->3).

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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

RES058 Four-Card Opening Deal
Player 9+4=3 vs Banker 6+4=0

Verified non-natural start via handTotal([9,4])=3 and handTotal([6,4])=0.

RES058 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.

RES058 Banker Tableau Lookup
BANKER_TABLEAU[0][9] = true

Banker 0 draws sixth-card 3 (3) so (0+3) mod 10 = 3.

RES058 Card Count & Winner
6 Cards -> B (2 vs 3)

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

RES058 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 · RES058

Step-by-Step Card Arithmetic for RES058: P(9+4)+9 vs B(6+4)

Engine check [RES058] confirms `playerShouldDraw(3) === true` on 9+4 vs Banker 6+4 (0); adding fifth-card 9 (9) gives 12, which evaluates modulo ten to 2.

[RES058-B] Six-card branch [RES058] activates as 9 (9) hits Banker 0's 0-point unconditional draw tier; drawing 3 (3) sends 0+3=3 to 3.

Complete 6-Card Resolution Trace for RES058
RES058 StageRES058 CardsRES058 Modulo MathRES058 Status
[RES058:Init]P(9+4)=3 vs B(6+4)=0playerShouldDraw(3)=true4-Card Deal
[RES058:5th]Player +9 (9)(3+9) mod 10 = 25th Card Sideways
[RES058:6th]Banker +3 (3)(0+3) mod 10 = 36-Card Final
[RES058:Settle]P=2 vs B=3Winner: BBig Road +B
  • [RES058-1] Confirm [RES058] opening P=3 (9+4) and B=0 (6+4) lack Natural 8/9.
  • [RES058-2] Add [RES058] fifth-card 9 (9) to P=3 for (3+9) mod 10 = 2.
  • [RES058-3] Run [RES058] BANKER_TABLEAU[0][9]=true to settle 2 vs 3 (B).
SETTLEMENT & SCOREBOARD · RES058

Showdown Settlement & Scoreboard Logging for RES058 (2 vs 3)

[RES058-C0] Comparing [RES058] final totals (6c), Player 2 vs Banker 3 awards [RES058] to Banker (B), which pays 0.95:1 on 5%-commission [RES058] layouts (or 0.5:1 on 6 at No-Commission [RES058] tables) and appends B to PPBBBPPPPB.

[RES058-D10] Side-bet & road check for [RES058] (P3+9->2 vs B0->3, 6c): [RES058] leaves [RES058] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=3) and leaves [RES058] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES058] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES058, Banker 0 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[0][9] = true.
MythBecause RES058 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