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FINAL TOTAL RESOLUTION [RES180] · 6-CARD PROOF

Player 5 + 9 (9) vs. Banker 2 (Draws 3 (3)): 6-Card Resolution #180

In walkthrough RES180, Player opens with A+4 (5) and draws fifth-card 9 (9) for a modulo-10 total of 4, while Banker opens with 8+4 (2) and draws sixth-card 3 (3) for 5 (6-card B outcome).

RES180 Player Path
P:5->4
RES180 Banker Path
B:2->5
RES180 Deal Length
6 Cards
RES180 Showdown
B (4v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES180 (P5+9->4 vs B2->5).

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

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. 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 2 beads. 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

RES180 Four-Card Opening Deal
Player A+4=5 vs Banker 8+4=2

Verified non-natural start via handTotal([A,4])=5 and handTotal([8,4])=2.

RES180 Fifth-Card Modulo Proof
(5 + 9) mod 10 = 4 via 9

Player draws fifth-card 9 (value 9), transforming two-card 5 into three-card 4.

RES180 Banker Tableau Lookup
BANKER_TABLEAU[2][9] = true

Banker 2 draws sixth-card 3 (3) so (2+3) mod 10 = 5.

RES180 Card Count & Winner
6 Cards -> B (4 vs 5)

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

RES180 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 · RES180

Step-by-Step Card Arithmetic for RES180: P(A+4)+9 vs B(8+4)

Floor verification [RES180] inspects Player A+4 (5) versus Banker 8+4 (2); once fifth-card 9 (9) is exposed sideways, 5+9=14 drops the tens digit to three-card 4.

[RES180-B] Because BANKER_TABLEAU[2][9]=true (2-point mandatory draw band) in [RES180], Banker 2 takes sixth-card 3 (3) and 2+3=5 settles at 5.

Complete 6-Card Resolution Trace for RES180
RES180 StageRES180 CardsRES180 Modulo MathRES180 Status
[RES180:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES180:5th]Player +9 (9)(5+9) mod 10 = 45th Card Sideways
[RES180:6th]Banker +3 (3)(2+3) mod 10 = 56-Card Final
[RES180:Settle]P=4 vs B=5Winner: BBig Road +B
  • [RES180-1] Confirm [RES180] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES180-2] Add [RES180] fifth-card 9 (9) to P=5 for (5+9) mod 10 = 4.
  • [RES180-3] Run [RES180] BANKER_TABLEAU[2][9]=true to settle 4 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES180

Showdown Settlement & Scoreboard Logging for RES180 (4 vs 5)

[RES180-C5] Comparing [RES180] final totals (6c), Player 4 vs Banker 5 awards [RES180] to Banker (B), which pays 0.95:1 on 5%-commission [RES180] layouts (or 0.5:1 on 6 at No-Commission [RES180] tables) and appends B to PPBBBPPBPP.

[RES180-D3] Side-bet & road check for [RES180] (P5+9->4 vs B2->5, 6c): [RES180] leaves [RES180] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES180] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES180] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES180, Banker 2 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[2][9] = true.
MythBecause RES180 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