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FINAL TOTAL RESOLUTION [RES100] · 6-CARD PROOF

Player 3 + 6 (6) vs. Banker 1 (Draws 7 (7)): 6-Card Resolution #100

In walkthrough RES100, Player opens with 9+4 (3) and draws fifth-card 6 (6) for a modulo-10 total of 9, while Banker opens with 10+A (1) and draws sixth-card 7 (7) for 8 (6-card P outcome).

RES100 Player Path
P:3->9
RES100 Banker Path
B:1->8
RES100 Deal Length
6 Cards
RES100 Showdown
P (9v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES100 (P3+6->9 vs B1->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 2 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

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

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 3 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 3 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 5 has 2 beads. Column 2 has 3 beads. Different depth → blue (≠).

  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 3 beads. Different depth → blue (≠).

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

RES100 Four-Card Opening Deal
Player 9+4=3 vs Banker 10+A=1

Verified non-natural start via handTotal([9,4])=3 and handTotal([10,A])=1.

RES100 Fifth-Card Modulo Proof
(3 + 6) mod 10 = 9 via 6

Player draws fifth-card 6 (value 6), transforming two-card 3 into three-card 9.

RES100 Banker Tableau Lookup
BANKER_TABLEAU[1][6] = true

Banker 1 draws sixth-card 7 (7) so (1+7) mod 10 = 8.

RES100 Card Count & Winner
6 Cards -> P (9 vs 8)

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

RES100 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 · RES100

Step-by-Step Card Arithmetic for RES100: P(9+4)+6 vs B(10+A)

Engine check [RES100] confirms `playerShouldDraw(3) === true` on 9+4 vs Banker 10+A (1); adding fifth-card 6 (6) gives 9, which evaluates modulo ten to 9.

[RES100-B] Next in [RES100], Banker consults 1-point automatic draw row: facing fifth-card 6 (6), Banker 1 draws 7 (7) so 1+7=8 -> 8.

Complete 6-Card Resolution Trace for RES100
RES100 StageRES100 CardsRES100 Modulo MathRES100 Status
[RES100:Init]P(9+4)=3 vs B(10+A)=1playerShouldDraw(3)=true4-Card Deal
[RES100:5th]Player +6 (6)(3+6) mod 10 = 95th Card Sideways
[RES100:6th]Banker +7 (7)(1+7) mod 10 = 86-Card Final
[RES100:Settle]P=9 vs B=8Winner: PBig Road +P
  • [RES100-1] Confirm [RES100] opening P=3 (9+4) and B=1 (10+A) lack Natural 8/9.
  • [RES100-2] Add [RES100] fifth-card 6 (6) to P=3 for (3+6) mod 10 = 9.
  • [RES100-3] Run [RES100] BANKER_TABLEAU[1][6]=true to settle 9 vs 8 (P).
SETTLEMENT & SCOREBOARD · RES100

Showdown Settlement & Scoreboard Logging for RES100 (9 vs 8)

[RES100-C1] Comparing [RES100] final totals (6c), Player 9 vs Banker 8 awards [RES100] to Player (P), which pays 1:1 even money on [RES100] Player boxes with zero commission deducted and appends P to PPBBBPPBPP.

[RES100-D11] Side-bet & road check for [RES100] (P3+6->9 vs B1->8, 6c): [RES100] leaves [RES100] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES100] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES100] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES100, Banker 1 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 1 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[1][6] = true.
MythBecause RES100 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android