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FINAL TOTAL RESOLUTION [RES210] · 6-CARD PROOF

Player 5 + 4 (4) vs. Banker 3 (Draws 9 (9)): 6-Card Resolution #210

In walkthrough RES210, Player opens with A+4 (5) and draws fifth-card 4 (4) for a modulo-10 total of 9, while Banker opens with 10+3 (3) and draws sixth-card 9 (9) for 2 (6-card P outcome).

RES210 Player Path
P:5->9
RES210 Banker Path
B:3->2
RES210 Deal Length
6 Cards
RES210 Showdown
P (9v2)
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 RES210 (P5+4->9 vs B3->2).

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

RES210 Four-Card Opening Deal
Player A+4=5 vs Banker 10+3=3

Verified non-natural start via handTotal([A,4])=5 and handTotal([10,3])=3.

RES210 Fifth-Card Modulo Proof
(5 + 4) mod 10 = 9 via 4

Player draws fifth-card 4 (value 4), transforming two-card 5 into three-card 9.

RES210 Banker Tableau Lookup
BANKER_TABLEAU[3][4] = true

Banker 3 draws sixth-card 9 (9) so (3+9) mod 10 = 2.

RES210 Card Count & Winner
6 Cards -> P (9 vs 2)

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

RES210 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 · RES210

Step-by-Step Card Arithmetic for RES210: P(A+4)+4 vs B(10+3)

Step-by-step proof [RES210] pairs Player A+4 (5) with Banker 10+3 (3); because 5 sits in the 0..5 draw zone, fifth-card 4 (4) lands and 5+4=9 resolves the unit-digit sum to 9.

[RES210-B] Under 3-point single-shade row (0..7, 9) for [RES210], exposed 4 (4) obligates Banker 3 to draw 9 (9), converting 3+9=12 into 2.

Complete 6-Card Resolution Trace for RES210
RES210 StageRES210 CardsRES210 Modulo MathRES210 Status
[RES210:Init]P(A+4)=5 vs B(10+3)=3playerShouldDraw(5)=true4-Card Deal
[RES210:5th]Player +4 (4)(5+4) mod 10 = 95th Card Sideways
[RES210:6th]Banker +9 (9)(3+9) mod 10 = 26-Card Final
[RES210:Settle]P=9 vs B=2Winner: PBig Road +P
  • [RES210-1] Confirm [RES210] opening P=5 (A+4) and B=3 (10+3) lack Natural 8/9.
  • [RES210-2] Add [RES210] fifth-card 4 (4) to P=5 for (5+4) mod 10 = 9.
  • [RES210-3] Run [RES210] BANKER_TABLEAU[3][4]=true to settle 9 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES210

Showdown Settlement & Scoreboard Logging for RES210 (9 vs 2)

[RES210-C1] Comparing [RES210] final totals (6c), Player 9 vs Banker 2 awards [RES210] to Player (P), which pays 1:1 even money on [RES210] Player boxes with zero commission deducted and appends P to PPBBPBPPBB.

[RES210-D0] Side-bet & road check for [RES210] (P5+4->9 vs B3->2, 6c): [RES210] leaves [RES210] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES210] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES210] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES210, Banker 3 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[3][4] = true.
MythBecause RES210 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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