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FINAL TOTAL RESOLUTION [RES188] · 6-CARD PROOF

Player 1 + A (1) vs. Banker 3 (Draws 6 (6)): 6-Card Resolution #188

In walkthrough RES188, Player opens with 7+4 (1) and draws fifth-card A (1) for a modulo-10 total of 2, while Banker opens with 10+3 (3) and draws sixth-card 6 (6) for 9 (6-card B outcome).

RES188 Player Path
P:1->2
RES188 Banker Path
B:3->9
RES188 Deal Length
6 Cards
RES188 Showdown
B (2v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES188 (P1+1->2 vs B3->9).

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

RES188 Four-Card Opening Deal
Player 7+4=1 vs Banker 10+3=3

Verified non-natural start via handTotal([7,4])=1 and handTotal([10,3])=3.

RES188 Fifth-Card Modulo Proof
(1 + 1) mod 10 = 2 via A

Player draws fifth-card A (value 1), transforming two-card 1 into three-card 2.

RES188 Banker Tableau Lookup
BANKER_TABLEAU[3][1] = true

Banker 3 draws sixth-card 6 (6) so (3+6) mod 10 = 9.

RES188 Card Count & Winner
6 Cards -> B (2 vs 9)

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

RES188 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 · RES188

Step-by-Step Card Arithmetic for RES188: P(7+4)+A vs B(10+3)

Canonical test [RES188] examines Player 1 (7+4) against Banker 3 (10+3); the fifth card A (1) brings Player's raw count to 2, which computes the single-digit remainder to 2.

[RES188-B] Six-card branch [RES188] activates as A (1) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 6 (6) sends 3+6=9 to 9.

Complete 6-Card Resolution Trace for RES188
RES188 StageRES188 CardsRES188 Modulo MathRES188 Status
[RES188:Init]P(7+4)=1 vs B(10+3)=3playerShouldDraw(1)=true4-Card Deal
[RES188:5th]Player +A (1)(1+1) mod 10 = 25th Card Sideways
[RES188:6th]Banker +6 (6)(3+6) mod 10 = 96-Card Final
[RES188:Settle]P=2 vs B=9Winner: BBig Road +B
  • [RES188-1] Confirm [RES188] opening P=1 (7+4) and B=3 (10+3) lack Natural 8/9.
  • [RES188-2] Add [RES188] fifth-card A (1) to P=1 for (1+1) mod 10 = 2.
  • [RES188-3] Run [RES188] BANKER_TABLEAU[3][1]=true to settle 2 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES188

Showdown Settlement & Scoreboard Logging for RES188 (2 vs 9)

[RES188-C1] Comparing [RES188] final totals (6c), Player 2 vs Banker 9 awards [RES188] to Banker (B), which pays 0.95:1 on 5%-commission [RES188] layouts (or 0.5:1 on 6 at No-Commission [RES188] tables) and appends B to PPBBPBBBPP.

[RES188-D10] Side-bet & road check for [RES188] (P1+1->2 vs B3->9, 6c): [RES188] leaves [RES188] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES188] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES188] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES188, Banker 3 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[3][1] = true.
MythBecause RES188 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