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FINAL TOTAL RESOLUTION [RES315] · 5-CARD PROOF

Player 2 + 2 (2) vs. Banker 5 (Stands at 5): 5-Card Resolution #315

In walkthrough RES315, Player opens with 10+2 (2) and draws fifth-card 2 (2) for a modulo-10 total of 4, while Banker opens with A+4 (5) and stands pat at 5 (5-card B outcome).

RES315 Player Path
P:2->4
RES315 Banker Path
B:5->5
RES315 Deal Length
5 Cards
RES315 Showdown
B (4v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES315 (P2+2->4 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 3. Column 2 stopped at Row 2, one row above → blue (≠).

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

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.

Cockroach Pig Mark #3

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

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES315 Four-Card Opening Deal
Player 10+2=2 vs Banker A+4=5

Verified non-natural start via handTotal([10,2])=2 and handTotal([A,4])=5.

RES315 Fifth-Card Modulo Proof
(2 + 2) mod 10 = 4 via 2

Player draws fifth-card 2 (value 2), transforming two-card 2 into three-card 4.

RES315 Banker Tableau Lookup
BANKER_TABLEAU[5][2] = false

Banker 5 stands pat at 5 without pulling sixth-card A (1).

RES315 Card Count & Winner
5 Cards -> B (4 vs 5)

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

RES315 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 · RES315

Step-by-Step Card Arithmetic for RES315: P(10+2)+2 vs B(A+4)

Matrix coordinate [RES315] isolates Player two-card 2 (10+2) and Banker 5 (A+4); dealing fifth-card 2 (2) yields raw 4 that retains the rightmost digit to 4.

[RES315-B] Evaluating bankerShouldDraw(5, 2)=false (5-point four-value window (4..7)) in [RES315], Banker 5 preserves 5 while A (1) remains undealt.

Complete 5-Card Resolution Trace for RES315
RES315 StageRES315 CardsRES315 Modulo MathRES315 Status
[RES315:Init]P(10+2)=2 vs B(A+4)=5playerShouldDraw(2)=true4-Card Deal
[RES315:5th]Player +2 (2)(2+2) mod 10 = 45th Card Sideways
[RES315:6th]Banker Stands (skip A=1)Locked at 55-Card Final
[RES315:Settle]P=4 vs B=5Winner: BBig Road +B
  • [RES315-1] Confirm [RES315] opening P=2 (10+2) and B=5 (A+4) lack Natural 8/9.
  • [RES315-2] Add [RES315] fifth-card 2 (2) to P=2 for (2+2) mod 10 = 4.
  • [RES315-3] Run [RES315] BANKER_TABLEAU[5][2]=false to settle 4 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES315

Showdown Settlement & Scoreboard Logging for RES315 (4 vs 5)

[RES315-C9] Comparing [RES315] final totals (5c), Player 4 vs Banker 5 awards [RES315] to Banker (B), which pays 0.95:1 on 5%-commission [RES315] layouts (or 0.5:1 on 6 at No-Commission [RES315] tables) and appends B to BBPPBPPPBB.

[RES315-D9] Side-bet & road check for [RES315] (P2+2->4 vs B5->5, 5c): [RES315] leaves [RES315] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES315] Panda 8 inactive (needs winning 3c Player 8, got P=4); on [RES315] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES315, Banker 5 evaluates Player's three-card total (4) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[5][2] = false.
MythBecause RES315 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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