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FINAL TOTAL RESOLUTION [RES213] · 6-CARD PROOF

Player 2 + 5 (5) vs. Banker 3 (Draws 6 (6)): 6-Card Resolution #213

In walkthrough RES213, Player opens with 10+2 (2) and draws fifth-card 5 (5) for a modulo-10 total of 7, while Banker opens with 9+4 (3) and draws sixth-card 6 (6) for 9 (6-card B outcome).

RES213 Player Path
P:2->7
RES213 Banker Path
B:3->9
RES213 Deal Length
6 Cards
RES213 Showdown
B (7v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES213 (P2+5->7 vs B3->9).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES213 Four-Card Opening Deal
Player 10+2=2 vs Banker 9+4=3

Verified non-natural start via handTotal([10,2])=2 and handTotal([9,4])=3.

RES213 Fifth-Card Modulo Proof
(2 + 5) mod 10 = 7 via 5

Player draws fifth-card 5 (value 5), transforming two-card 2 into three-card 7.

RES213 Banker Tableau Lookup
BANKER_TABLEAU[3][5] = true

Banker 3 draws sixth-card 6 (6) so (3+6) mod 10 = 9.

RES213 Card Count & Winner
6 Cards -> B (7 vs 9)

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

RES213 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 · RES213

Step-by-Step Card Arithmetic for RES213: P(10+2)+5 vs B(9+4)

During tableau case [RES213], Player holds 10+2 for 2 while Banker holds 9+4 for 3; drawing fifth-card 5 (5) shifts Player from 2 to 7, which reduces mod-10 to 7.

[RES213-B] Six-card branch [RES213] activates as 5 (5) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 6 (6) sends 3+6=9 to 9.

Complete 6-Card Resolution Trace for RES213
RES213 StageRES213 CardsRES213 Modulo MathRES213 Status
[RES213:Init]P(10+2)=2 vs B(9+4)=3playerShouldDraw(2)=true4-Card Deal
[RES213:5th]Player +5 (5)(2+5) mod 10 = 75th Card Sideways
[RES213:6th]Banker +6 (6)(3+6) mod 10 = 96-Card Final
[RES213:Settle]P=7 vs B=9Winner: BBig Road +B
  • [RES213-1] Confirm [RES213] opening P=2 (10+2) and B=3 (9+4) lack Natural 8/9.
  • [RES213-2] Add [RES213] fifth-card 5 (5) to P=2 for (2+5) mod 10 = 7.
  • [RES213-3] Run [RES213] BANKER_TABLEAU[3][5]=true to settle 7 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES213

Showdown Settlement & Scoreboard Logging for RES213 (7 vs 9)

[RES213-C5] Comparing [RES213] final totals (6c), Player 7 vs Banker 9 awards [RES213] to Banker (B), which pays 0.95:1 on 5%-commission [RES213] layouts (or 0.5:1 on 6 at No-Commission [RES213] tables) and appends B to BBPPBBPBPB.

[RES213-D1] Side-bet & road check for [RES213] (P2+5->7 vs B3->9, 6c): [RES213] leaves [RES213] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES213] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES213] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES213, Banker 3 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[3][5] = true.
MythBecause RES213 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
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