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FINAL TOTAL RESOLUTION [RES122] · 6-CARD PROOF

Player 1 + 10 (0) vs. Banker 2 (Draws 6 (6)): 6-Card Resolution #122

In walkthrough RES122, Player opens with 7+4 (1) and draws fifth-card 10 (0) for a modulo-10 total of 1, while Banker opens with 8+4 (2) and draws sixth-card 6 (6) for 8 (6-card B outcome).

RES122 Player Path
P:1->1
RES122 Banker Path
B:2->8
RES122 Deal Length
6 Cards
RES122 Showdown
B (1v8)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES122 (P1+0->1 vs B2->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

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

RES122 Four-Card Opening Deal
Player 7+4=1 vs Banker 8+4=2

Verified non-natural start via handTotal([7,4])=1 and handTotal([8,4])=2.

RES122 Fifth-Card Modulo Proof
(1 + 0) mod 10 = 1 via 10

Player draws fifth-card 10 (value 0), transforming two-card 1 into three-card 1.

RES122 Banker Tableau Lookup
BANKER_TABLEAU[2][0] = true

Banker 2 draws sixth-card 6 (6) so (2+6) mod 10 = 8.

RES122 Card Count & Winner
6 Cards -> B (1 vs 8)

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

RES122 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 · RES122

Step-by-Step Card Arithmetic for RES122: P(7+4)+10 vs B(8+4)

In coup [RES122], initial cards deal 7+4=1 to Player and 8+4=2 to Banker; lacking a four-card natural, Player takes fifth-card 10 (0) where raw sum 1 projects onto the 0..9 ring to 1.

[RES122-B] Six-card branch [RES122] activates as 10 (0) hits Banker 2's 2-point mandatory draw band; drawing 6 (6) sends 2+6=8 to 8.

Complete 6-Card Resolution Trace for RES122
RES122 StageRES122 CardsRES122 Modulo MathRES122 Status
[RES122:Init]P(7+4)=1 vs B(8+4)=2playerShouldDraw(1)=true4-Card Deal
[RES122:5th]Player +10 (0)(1+0) mod 10 = 15th Card Sideways
[RES122:6th]Banker +6 (6)(2+6) mod 10 = 86-Card Final
[RES122:Settle]P=1 vs B=8Winner: BBig Road +B
  • [RES122-1] Confirm [RES122] opening P=1 (7+4) and B=2 (8+4) lack Natural 8/9.
  • [RES122-2] Add [RES122] fifth-card 10 (0) to P=1 for (1+0) mod 10 = 1.
  • [RES122-3] Run [RES122] BANKER_TABLEAU[2][0]=true to settle 1 vs 8 (B).
SETTLEMENT & SCOREBOARD · RES122

Showdown Settlement & Scoreboard Logging for RES122 (1 vs 8)

[RES122-C1] Comparing [RES122] final totals (6c), Player 1 vs Banker 8 awards [RES122] to Banker (B), which pays 0.95:1 on 5%-commission [RES122] layouts (or 0.5:1 on 6 at No-Commission [RES122] tables) and appends B to PPBBBPPPPB.

[RES122-D1] Side-bet & road check for [RES122] (P1+0->1 vs B2->8, 6c): [RES122] leaves [RES122] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=8) and leaves [RES122] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES122] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES122, Banker 2 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[2][0] = true.
MythBecause RES122 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android