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FINAL TOTAL RESOLUTION [RES208] · 6-CARD PROOF

Player 3 + 4 (4) vs. Banker 3 (Draws A (1)): 6-Card Resolution #208

In walkthrough RES208, Player opens with 9+4 (3) and draws fifth-card 4 (4) for a modulo-10 total of 7, while Banker opens with 10+3 (3) and draws sixth-card A (1) for 4 (6-card P outcome).

RES208 Player Path
P:3->7
RES208 Banker Path
B:3->4
RES208 Deal Length
6 Cards
RES208 Showdown
P (7v4)
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 P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 6-card resolution RES208 (P3+4->7 vs B3->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 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

RES208 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+3=3

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,3])=3.

RES208 Fifth-Card Modulo Proof
(3 + 4) mod 10 = 7 via 4

Player draws fifth-card 4 (value 4), transforming two-card 3 into three-card 7.

RES208 Banker Tableau Lookup
BANKER_TABLEAU[3][4] = true

Banker 3 draws sixth-card A (1) so (3+1) mod 10 = 4.

RES208 Card Count & Winner
6 Cards -> P (7 vs 4)

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

RES208 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 · RES208

Step-by-Step Card Arithmetic for RES208: P(9+4)+4 vs B(10+3)

Floor verification [RES208] inspects Player 9+4 (3) versus Banker 10+3 (3); once fifth-card 4 (4) is exposed sideways, 3+4=7 drops the tens digit to three-card 7.

[RES208-B] Acting on 4=4 inside [RES208], Banker 3 follows 3-point single-shade row (0..7, 9) and pulls A (1) for 3+1=4 -> 4.

Complete 6-Card Resolution Trace for RES208
RES208 StageRES208 CardsRES208 Modulo MathRES208 Status
[RES208:Init]P(9+4)=3 vs B(10+3)=3playerShouldDraw(3)=true4-Card Deal
[RES208:5th]Player +4 (4)(3+4) mod 10 = 75th Card Sideways
[RES208:6th]Banker +A (1)(3+1) mod 10 = 46-Card Final
[RES208:Settle]P=7 vs B=4Winner: PBig Road +P
  • [RES208-1] Confirm [RES208] opening P=3 (9+4) and B=3 (10+3) lack Natural 8/9.
  • [RES208-2] Add [RES208] fifth-card 4 (4) to P=3 for (3+4) mod 10 = 7.
  • [RES208-3] Run [RES208] BANKER_TABLEAU[3][4]=true to settle 7 vs 4 (P).
SETTLEMENT & SCOREBOARD · RES208

Showdown Settlement & Scoreboard Logging for RES208 (7 vs 4)

[RES208-C2] Comparing [RES208] final totals (6c), Player 7 vs Banker 4 awards [RES208] to Player (P), which pays 1:1 even money on [RES208] Player boxes with zero commission deducted and appends P to PPBBPBPPBP.

[RES208-D8] Side-bet & road check for [RES208] (P3+4->7 vs B3->4, 6c): [RES208] leaves [RES208] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=4) and leaves [RES208] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES208] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES208, Banker 3 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[3][4] = true.
MythBecause RES208 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

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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
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