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FINAL TOTAL RESOLUTION [RES114] · 6-CARD PROOF

Player 5 + 8 (8) vs. Banker 1 (Draws 3 (3)): 6-Card Resolution #114

In walkthrough RES114, Player opens with A+4 (5) and draws fifth-card 8 (8) for a modulo-10 total of 3, while Banker opens with 10+A (1) and draws sixth-card 3 (3) for 4 (6-card B outcome).

RES114 Player Path
P:5->3
RES114 Banker Path
B:1->4
RES114 Deal Length
6 Cards
RES114 Showdown
B (3v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES114 (P5+8->3 vs B1->4).

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 2 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.

Cockroach Pig Mark #3

Column 5 has 2 beads. Column 2 has 2 beads. Same depth → red (=).

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

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

RES114 Four-Card Opening Deal
Player A+4=5 vs Banker 10+A=1

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,A])=1.

RES114 Fifth-Card Modulo Proof
(5 + 8) mod 10 = 3 via 8

Player draws fifth-card 8 (value 8), transforming two-card 5 into three-card 3.

RES114 Banker Tableau Lookup
BANKER_TABLEAU[1][8] = true

Banker 1 draws sixth-card 3 (3) so (1+3) mod 10 = 4.

RES114 Card Count & Winner
6 Cards -> B (3 vs 4)

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

RES114 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 · RES114

Step-by-Step Card Arithmetic for RES114: P(A+4)+8 vs B(10+A)

Engine check [RES114] confirms `playerShouldDraw(5) === true` on A+4 vs Banker 10+A (1); adding fifth-card 8 (8) gives 13, which evaluates modulo ten to 3.

[RES114-B] Because BANKER_TABLEAU[1][8]=true (1-point automatic draw row) in [RES114], Banker 1 takes sixth-card 3 (3) and 1+3=4 settles at 4.

Complete 6-Card Resolution Trace for RES114
RES114 StageRES114 CardsRES114 Modulo MathRES114 Status
[RES114:Init]P(A+4)=5 vs B(10+A)=1playerShouldDraw(5)=true4-Card Deal
[RES114:5th]Player +8 (8)(5+8) mod 10 = 35th Card Sideways
[RES114:6th]Banker +3 (3)(1+3) mod 10 = 46-Card Final
[RES114:Settle]P=3 vs B=4Winner: BBig Road +B
  • [RES114-1] Confirm [RES114] opening P=5 (A+4) and B=1 (10+A) lack Natural 8/9.
  • [RES114-2] Add [RES114] fifth-card 8 (8) to P=5 for (5+8) mod 10 = 3.
  • [RES114-3] Run [RES114] BANKER_TABLEAU[1][8]=true to settle 3 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES114

Showdown Settlement & Scoreboard Logging for RES114 (3 vs 4)

[RES114-C5] Comparing [RES114] final totals (6c), Player 3 vs Banker 4 awards [RES114] to Banker (B), which pays 0.95:1 on 5%-commission [RES114] layouts (or 0.5:1 on 6 at No-Commission [RES114] tables) and appends B to PPBBPBPPBB.

[RES114-D7] Side-bet & road check for [RES114] (P5+8->3 vs B1->4, 6c): [RES114] leaves [RES114] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES114] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES114] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES114, Banker 1 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[1][8] = true.
MythBecause RES114 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