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FINAL TOTAL RESOLUTION [RES304] · 5-CARD PROOF

Player 3 + 10 (0) vs. Banker 5 (Stands at 5): 5-Card Resolution #304

In walkthrough RES304, Player opens with 9+4 (3) and draws fifth-card 10 (0) for a modulo-10 total of 3, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES304 Player Path
P:3->3
RES304 Banker Path
B:5->5
RES304 Deal Length
5 Cards
RES304 Showdown
B (3v5)
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 P P P B B B P P P P B
Big Eye Boy = = ≠ = ≠ ≠ ≠ ≠ = ≠ = = = = = ≠ ≠
Small Road ≠ ≠ ≠ ≠ = = ≠ ≠ ≠ = ≠ = = ≠ ≠
Cockroach Pig ≠ = = = ≠ = ≠ = ≠ ≠ ≠ = = ≠

Scoreboard sequence paired with 5-card resolution RES304 (P3+0->3 vs B5->5).

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

RES304 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+3=5

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,3])=5.

RES304 Fifth-Card Modulo Proof
(3 + 0) mod 10 = 3 via 10

Player draws fifth-card 10 (value 0), transforming two-card 3 into three-card 3.

RES304 Banker Tableau Lookup
BANKER_TABLEAU[5][0] = false

Banker 5 stands pat at 5 without pulling sixth-card 7 (7).

RES304 Card Count & Winner
5 Cards -> B (3 vs 5)

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

RES304 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 · RES304

Step-by-Step Card Arithmetic for RES304: P(9+4)+10 vs B(2+3)

In coup [RES304], initial cards deal 9+4=3 to Player and 2+3=5 to Banker; lacking a four-card natural, Player takes fifth-card 10 (0) where raw sum 3 projects onto the 0..9 ring to 3.

[RES304-B] Five-card branch [RES304] ends as 10 (0) falls outside 5-point four-value window (4..7), keeping Banker 5 at 5 rather than 2 via 7.

Complete 5-Card Resolution Trace for RES304
RES304 StageRES304 CardsRES304 Modulo MathRES304 Status
[RES304:Init]P(9+4)=3 vs B(2+3)=5playerShouldDraw(3)=true4-Card Deal
[RES304:5th]Player +10 (0)(3+0) mod 10 = 35th Card Sideways
[RES304:6th]Banker Stands (skip 7=7)Locked at 55-Card Final
[RES304:Settle]P=3 vs B=5Winner: BBig Road +B
  • [RES304-1] Confirm [RES304] opening P=3 (9+4) and B=5 (2+3) lack Natural 8/9.
  • [RES304-2] Add [RES304] fifth-card 10 (0) to P=3 for (3+0) mod 10 = 3.
  • [RES304-3] Run [RES304] BANKER_TABLEAU[5][0]=false to settle 3 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES304

Showdown Settlement & Scoreboard Logging for RES304 (3 vs 5)

[RES304-C9] Comparing [RES304] final totals (5c), Player 3 vs Banker 5 awards [RES304] to Banker (B), which pays 0.95:1 on 5%-commission [RES304] layouts (or 0.5:1 on 6 at No-Commission [RES304] tables) and appends B to PPBBPBPPBP.

[RES304-D1] Side-bet & road check for [RES304] (P3+0->3 vs B5->5, 5c): [RES304] leaves [RES304] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES304] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES304] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES304, Banker 5 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[5][0] = false.
MythBecause RES304 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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