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FINAL TOTAL RESOLUTION [RES306] · 5-CARD PROOF

Player 5 + 10 (0) vs. Banker 5 (Stands at 5): 5-Card Resolution #306

In walkthrough RES306, Player opens with A+4 (5) and draws fifth-card 10 (0) for a modulo-10 total of 5, while Banker opens with 2+3 (5) and stands pat at 5 (5-card T outcome).

RES306 Player Path
P:5->5
RES306 Banker Path
B:5->5
RES306 Deal Length
5 Cards
RES306 Showdown
T (5v5)
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 5-card resolution RES306 (P5+0->5 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

RES306 Four-Card Opening Deal
Player A+4=5 vs Banker 2+3=5

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

RES306 Fifth-Card Modulo Proof
(5 + 0) mod 10 = 5 via 10

Player draws fifth-card 10 (value 0), transforming two-card 5 into three-card 5.

RES306 Banker Tableau Lookup
BANKER_TABLEAU[5][0] = false

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

RES306 Card Count & Winner
5 Cards -> T (5 vs 5)

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

RES306 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

Big Eye Boy, Small Road, and Cockroach Pig compare Big Road column depths, not T vs B.

MODULO-10 ARITHMETIC · RES306

Step-by-Step Card Arithmetic for RES306: P(A+4)+10 vs B(2+3)

Floor verification [RES306] inspects Player A+4 (5) versus Banker 2+3 (5); once fifth-card 10 (0) is exposed sideways, 5+0=5 drops the tens digit to three-card 5.

[RES306-B] Guided by 5-point four-value window (4..7) against 10 (0) in [RES306], Banker 5 stands on 5 so the coup finishes in 5c without 5 (5).

Complete 5-Card Resolution Trace for RES306
RES306 StageRES306 CardsRES306 Modulo MathRES306 Status
[RES306:Init]P(A+4)=5 vs B(2+3)=5playerShouldDraw(5)=true4-Card Deal
[RES306:5th]Player +10 (0)(5+0) mod 10 = 55th Card Sideways
[RES306:6th]Banker Stands (skip 5=5)Locked at 55-Card Final
[RES306:Settle]P=5 vs B=5Winner: TBig Road +T
  • [RES306-1] Confirm [RES306] opening P=5 (A+4) and B=5 (2+3) lack Natural 8/9.
  • [RES306-2] Add [RES306] fifth-card 10 (0) to P=5 for (5+0) mod 10 = 5.
  • [RES306-3] Run [RES306] BANKER_TABLEAU[5][0]=false to settle 5 vs 5 (T).
SETTLEMENT & SCOREBOARD · RES306

Showdown Settlement & Scoreboard Logging for RES306 (5 vs 5)

[RES306-C8] Comparing [RES306] final totals (5c), Player 5 vs Banker 5 awards [RES306] to Tie (T), which pushes main [RES306] Player/Banker wagers while settling [RES306] Tie bets at 8:1 or 9:1 and appends T to PPBBPBPPBB.

[RES306-D6] Side-bet & road check for [RES306] (P5+0->5 vs B5->5, 5c): [RES306] leaves [RES306] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES306] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES306] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES306, Banker 5 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 10 (value 0) via BANKER_TABLEAU[5][0] = false.
MythBecause RES306 resolves as T, the next derived-road mark must match T'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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