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FINAL TOTAL RESOLUTION [RES184] · 6-CARD PROOF

Player 3 + 10 (0) vs. Banker 3 (Draws 5 (5)): 6-Card Resolution #184

In walkthrough RES184, Player opens with 9+4 (3) and draws fifth-card 10 (0) for a modulo-10 total of 3, while Banker opens with 10+3 (3) and draws sixth-card 5 (5) for 8 (6-card B outcome).

RES184 Player Path
P:3->3
RES184 Banker Path
B:3->8
RES184 Deal Length
6 Cards
RES184 Showdown
B (3v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES184 (P3+0->3 vs B3->8).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

RES184 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.

RES184 Fifth-Card Modulo Proof
(3 + 0) mod 10 = 3 via 10

Player draws fifth-card 10 (value 0), transforming two-card 3 into three-card 3.

RES184 Banker Tableau Lookup
BANKER_TABLEAU[3][0] = true

Banker 3 draws sixth-card 5 (5) so (3+5) mod 10 = 8.

RES184 Card Count & Winner
6 Cards -> B (3 vs 8)

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

RES184 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 · RES184

Step-by-Step Card Arithmetic for RES184: P(9+4)+10 vs B(10+3)

Engine check [RES184] confirms `playerShouldDraw(3) === true` on 9+4 vs Banker 10+3 (3); adding fifth-card 10 (0) gives 3, which evaluates modulo ten to 3.

[RES184-B] Under 3-point single-shade row (0..7, 9) for [RES184], exposed 10 (0) obligates Banker 3 to draw 5 (5), converting 3+5=8 into 8.

Complete 6-Card Resolution Trace for RES184
RES184 StageRES184 CardsRES184 Modulo MathRES184 Status
[RES184:Init]P(9+4)=3 vs B(10+3)=3playerShouldDraw(3)=true4-Card Deal
[RES184:5th]Player +10 (0)(3+0) mod 10 = 35th Card Sideways
[RES184:6th]Banker +5 (5)(3+5) mod 10 = 86-Card Final
[RES184:Settle]P=3 vs B=8Winner: BBig Road +B
  • [RES184-1] Confirm [RES184] opening P=3 (9+4) and B=3 (10+3) lack Natural 8/9.
  • [RES184-2] Add [RES184] fifth-card 10 (0) to P=3 for (3+0) mod 10 = 3.
  • [RES184-3] Run [RES184] BANKER_TABLEAU[3][0]=true to settle 3 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES184

Showdown Settlement & Scoreboard Logging for RES184 (3 vs 8)

[RES184-C3] Comparing [RES184] final totals (6c), Player 3 vs Banker 8 awards [RES184] to Banker (B), which pays 0.95:1 on 5%-commission [RES184] layouts (or 0.5:1 on 6 at No-Commission [RES184] tables) and appends B to PPBBPBPBBB.

[RES184-D0] Side-bet & road check for [RES184] (P3+0->3 vs B3->8, 6c): [RES184] leaves [RES184] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES184] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES184] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES184, Banker 3 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[3][0] = true.
MythBecause RES184 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