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FINAL TOTAL RESOLUTION [RES150] · 6-CARD PROOF

Player 5 + 4 (4) vs. Banker 2 (Draws 8 (8)): 6-Card Resolution #150

In walkthrough RES150, Player opens with A+4 (5) and draws fifth-card 4 (4) for a modulo-10 total of 9, while Banker opens with 8+4 (2) and draws sixth-card 8 (8) for 0 (6-card P outcome).

RES150 Player Path
P:5->9
RES150 Banker Path
B:2->0
RES150 Deal Length
6 Cards
RES150 Showdown
P (9v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES150 (P5+4->9 vs B2->0).

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

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES150 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.

RES150 Fifth-Card Modulo Proof
(5 + 4) mod 10 = 9 via 4

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

RES150 Banker Tableau Lookup
BANKER_TABLEAU[2][4] = true

Banker 2 draws sixth-card 8 (8) so (2+8) mod 10 = 0.

RES150 Card Count & Winner
6 Cards -> P (9 vs 0)

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

RES150 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES150

Step-by-Step Card Arithmetic for RES150: P(A+4)+4 vs B(8+4)

In coup [RES150], initial cards deal A+4=5 to Player and 8+4=2 to Banker; lacking a four-card natural, Player takes fifth-card 4 (4) where raw sum 9 projects onto the 0..9 ring to 9.

[RES150-B] Triggered by 4 (4) in [RES150] (2-point mandatory draw band), Banker 2 receives 8 (8) and computes (2+8) mod 10 = 0.

Complete 6-Card Resolution Trace for RES150
RES150 StageRES150 CardsRES150 Modulo MathRES150 Status
[RES150:Init]P(A+4)=5 vs B(8+4)=2playerShouldDraw(5)=true4-Card Deal
[RES150:5th]Player +4 (4)(5+4) mod 10 = 95th Card Sideways
[RES150:6th]Banker +8 (8)(2+8) mod 10 = 06-Card Final
[RES150:Settle]P=9 vs B=0Winner: PBig Road +P
  • [RES150-1] Confirm [RES150] opening P=5 (A+4) and B=2 (8+4) lack Natural 8/9.
  • [RES150-2] Add [RES150] fifth-card 4 (4) to P=5 for (5+4) mod 10 = 9.
  • [RES150-3] Run [RES150] BANKER_TABLEAU[2][4]=true to settle 9 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES150

Showdown Settlement & Scoreboard Logging for RES150 (9 vs 0)

[RES150-C9] Comparing [RES150] final totals (6c), Player 9 vs Banker 0 awards [RES150] to Player (P), which pays 1:1 even money on [RES150] Player boxes with zero commission deducted and appends P to PPBBPPBPBP.

[RES150-D6] Side-bet & road check for [RES150] (P5+4->9 vs B2->0, 6c): [RES150] leaves [RES150] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES150] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES150] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES150, Banker 2 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[2][4] = true.
MythBecause RES150 resolves as P, the next derived-road mark must match P'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