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FINAL TOTAL RESOLUTION [RES194] · 6-CARD PROOF

Player 1 + 2 (2) vs. Banker 3 (Draws 5 (5)): 6-Card Resolution #194

In walkthrough RES194, Player opens with 7+4 (1) and draws fifth-card 2 (2) for a modulo-10 total of 3, while Banker opens with 10+3 (3) and draws sixth-card 5 (5) for 8 (6-card B outcome).

RES194 Player Path
P:1->3
RES194 Banker Path
B:3->8
RES194 Deal Length
6 Cards
RES194 Showdown
B (3v8)
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 RES194 (P1+2->3 vs B3->8).

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

RES194 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.

RES194 Fifth-Card Modulo Proof
(1 + 2) mod 10 = 3 via 2

Player draws fifth-card 2 (value 2), transforming two-card 1 into three-card 3.

RES194 Banker Tableau Lookup
BANKER_TABLEAU[3][2] = true

Banker 3 draws sixth-card 5 (5) so (3+5) mod 10 = 8.

RES194 Card Count & Winner
6 Cards -> B (3 vs 8)

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

RES194 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 · RES194

Step-by-Step Card Arithmetic for RES194: P(7+4)+2 vs B(10+3)

Floor verification [RES194] inspects Player 7+4 (1) versus Banker 10+3 (3); once fifth-card 2 (2) is exposed sideways, 1+2=3 drops the tens digit to three-card 3.

[RES194-B] Acting on 2=2 inside [RES194], Banker 3 follows 3-point single-shade row (0..7, 9) and pulls 5 (5) for 3+5=8 -> 8.

Complete 6-Card Resolution Trace for RES194
RES194 StageRES194 CardsRES194 Modulo MathRES194 Status
[RES194:Init]P(7+4)=1 vs B(10+3)=3playerShouldDraw(1)=true4-Card Deal
[RES194:5th]Player +2 (2)(1+2) mod 10 = 35th Card Sideways
[RES194:6th]Banker +5 (5)(3+5) mod 10 = 86-Card Final
[RES194:Settle]P=3 vs B=8Winner: BBig Road +B
  • [RES194-1] Confirm [RES194] opening P=1 (7+4) and B=3 (10+3) lack Natural 8/9.
  • [RES194-2] Add [RES194] fifth-card 2 (2) to P=1 for (1+2) mod 10 = 3.
  • [RES194-3] Run [RES194] BANKER_TABLEAU[3][2]=true to settle 3 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES194

Showdown Settlement & Scoreboard Logging for RES194 (3 vs 8)

[RES194-C9] Comparing [RES194] final totals (6c), Player 3 vs Banker 8 awards [RES194] to Banker (B), which pays 0.95:1 on 5%-commission [RES194] layouts (or 0.5:1 on 6 at No-Commission [RES194] tables) and appends B to PPBBPBPPBB.

[RES194-D12] Side-bet & road check for [RES194] (P1+2->3 vs B3->8, 6c): [RES194] leaves [RES194] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES194] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES194] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES194, Banker 3 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[3][2] = true.
MythBecause RES194 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

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  • 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