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FINAL TOTAL RESOLUTION [RES171] · 6-CARD PROOF

Player 2 + 8 (8) vs. Banker 2 (Draws 2 (2)): 6-Card Resolution #171

In walkthrough RES171, Player opens with 10+2 (2) and draws fifth-card 8 (8) for a modulo-10 total of 0, while Banker opens with 10+2 (2) and draws sixth-card 2 (2) for 4 (6-card B outcome).

RES171 Player Path
P:2->0
RES171 Banker Path
B:2->4
RES171 Deal Length
6 Cards
RES171 Showdown
B (0v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES171 (P2+8->0 vs B2->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 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

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.

Cockroach Pig Mark #3

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES171 Four-Card Opening Deal
Player 10+2=2 vs Banker 10+2=2

Verified non-natural start via handTotal([10,2])=2 and handTotal([10,2])=2.

RES171 Fifth-Card Modulo Proof
(2 + 8) mod 10 = 0 via 8

Player draws fifth-card 8 (value 8), transforming two-card 2 into three-card 0.

RES171 Banker Tableau Lookup
BANKER_TABLEAU[2][8] = true

Banker 2 draws sixth-card 2 (2) so (2+2) mod 10 = 4.

RES171 Card Count & Winner
6 Cards -> B (0 vs 4)

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

RES171 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 · RES171

Step-by-Step Card Arithmetic for RES171: P(10+2)+8 vs B(10+2)

During tableau case [RES171], Player holds 10+2 for 2 while Banker holds 10+2 for 2; drawing fifth-card 8 (8) shifts Player from 2 to 10, which reduces mod-10 to 0.

[RES171-B] Under 2-point mandatory draw band for [RES171], exposed 8 (8) obligates Banker 2 to draw 2 (2), converting 2+2=4 into 4.

Complete 6-Card Resolution Trace for RES171
RES171 StageRES171 CardsRES171 Modulo MathRES171 Status
[RES171:Init]P(10+2)=2 vs B(10+2)=2playerShouldDraw(2)=true4-Card Deal
[RES171:5th]Player +8 (8)(2+8) mod 10 = 05th Card Sideways
[RES171:6th]Banker +2 (2)(2+2) mod 10 = 46-Card Final
[RES171:Settle]P=0 vs B=4Winner: BBig Road +B
  • [RES171-1] Confirm [RES171] opening P=2 (10+2) and B=2 (10+2) lack Natural 8/9.
  • [RES171-2] Add [RES171] fifth-card 8 (8) to P=2 for (2+8) mod 10 = 0.
  • [RES171-3] Run [RES171] BANKER_TABLEAU[2][8]=true to settle 0 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES171

Showdown Settlement & Scoreboard Logging for RES171 (0 vs 4)

[RES171-C4] Comparing [RES171] final totals (6c), Player 0 vs Banker 4 awards [RES171] to Banker (B), which pays 0.95:1 on 5%-commission [RES171] layouts (or 0.5:1 on 6 at No-Commission [RES171] tables) and appends B to BBPPBPPPBB.

[RES171-D0] Side-bet & road check for [RES171] (P2+8->0 vs B2->4, 6c): [RES171] leaves [RES171] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES171] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES171] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES171, Banker 2 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[2][8] = true.
MythBecause RES171 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