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FINAL TOTAL RESOLUTION [RES217] · 6-CARD PROOF

Player 0 + 6 (6) vs. Banker 3 (Draws 7 (7)): 6-Card Resolution #217

In walkthrough RES217, Player opens with 10+K (0) and draws fifth-card 6 (6) for a modulo-10 total of 6, while Banker opens with 9+4 (3) and draws sixth-card 7 (7) for 0 (6-card P outcome).

RES217 Player Path
P:0->6
RES217 Banker Path
B:3->0
RES217 Deal Length
6 Cards
RES217 Showdown
P (6v0)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES217 (P0+6->6 vs B3->0).

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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

RES217 Four-Card Opening Deal
Player 10+K=0 vs Banker 9+4=3

Verified non-natural start via handTotal([10,K])=0 and handTotal([9,4])=3.

RES217 Fifth-Card Modulo Proof
(0 + 6) mod 10 = 6 via 6

Player draws fifth-card 6 (value 6), transforming two-card 0 into three-card 6.

RES217 Banker Tableau Lookup
BANKER_TABLEAU[3][6] = true

Banker 3 draws sixth-card 7 (7) so (3+7) mod 10 = 0.

RES217 Card Count & Winner
6 Cards -> P (6 vs 0)

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

RES217 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 · RES217

Step-by-Step Card Arithmetic for RES217: P(10+K)+6 vs B(9+4)

Matrix coordinate [RES217] isolates Player two-card 0 (10+K) and Banker 3 (9+4); dealing fifth-card 6 (6) yields raw 6 that retains the rightmost digit to 6.

[RES217-B] Next in [RES217], Banker consults 3-point single-shade row (0..7, 9): facing fifth-card 6 (6), Banker 3 draws 7 (7) so 3+7=10 -> 0.

Complete 6-Card Resolution Trace for RES217
RES217 StageRES217 CardsRES217 Modulo MathRES217 Status
[RES217:Init]P(10+K)=0 vs B(9+4)=3playerShouldDraw(0)=true4-Card Deal
[RES217:5th]Player +6 (6)(0+6) mod 10 = 65th Card Sideways
[RES217:6th]Banker +7 (7)(3+7) mod 10 = 06-Card Final
[RES217:Settle]P=6 vs B=0Winner: PBig Road +P
  • [RES217-1] Confirm [RES217] opening P=0 (10+K) and B=3 (9+4) lack Natural 8/9.
  • [RES217-2] Add [RES217] fifth-card 6 (6) to P=0 for (0+6) mod 10 = 6.
  • [RES217-3] Run [RES217] BANKER_TABLEAU[3][6]=true to settle 6 vs 0 (P).
SETTLEMENT & SCOREBOARD · RES217

Showdown Settlement & Scoreboard Logging for RES217 (6 vs 0)

[RES217-C3] Comparing [RES217] final totals (6c), Player 6 vs Banker 0 awards [RES217] to Player (P), which pays 1:1 even money on [RES217] Player boxes with zero commission deducted and appends P to BBPPPBBBBP.

[RES217-D11] Side-bet & road check for [RES217] (P0+6->6 vs B3->0, 6c): [RES217] leaves [RES217] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=0) and leaves [RES217] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES217] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES217, Banker 3 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[3][6] = true.
MythBecause RES217 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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