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FINAL TOTAL RESOLUTION [RES248] · 5-CARD PROOF

Player 1 + A (1) vs. Banker 4 (Stands at 4): 5-Card Resolution #248

In walkthrough RES248, Player opens with 7+4 (1) and draws fifth-card A (1) for a modulo-10 total of 2, while Banker opens with A+3 (4) and stands pat at 4 (5-card B outcome).

RES248 Player Path
P:1->2
RES248 Banker Path
B:4->4
RES248 Deal Length
5 Cards
RES248 Showdown
B (2v4)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES248 (P1+1->2 vs B4->4).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

RES248 Four-Card Opening Deal
Player 7+4=1 vs Banker A+3=4

Verified non-natural start via handTotal([7,4])=1 and handTotal([A,3])=4.

RES248 Fifth-Card Modulo Proof
(1 + 1) mod 10 = 2 via A

Player draws fifth-card A (value 1), transforming two-card 1 into three-card 2.

RES248 Banker Tableau Lookup
BANKER_TABLEAU[4][1] = false

Banker 4 stands pat at 4 without pulling sixth-card 7 (7).

RES248 Card Count & Winner
5 Cards -> B (2 vs 4)

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

RES248 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 · RES248

Step-by-Step Card Arithmetic for RES248: P(7+4)+A vs B(A+3)

In coup [RES248], initial cards deal 7+4=1 to Player and A+3=4 to Banker; lacking a four-card natural, Player takes fifth-card A (1) where raw sum 2 projects onto the 0..9 ring to 2.

[RES248-B] Under 4-point six-value gate (2..7) for [RES248], A (1) closes action at 5c with Banker at 4 (had 7=7 landed, 4+7=11 -> 1).

Complete 5-Card Resolution Trace for RES248
RES248 StageRES248 CardsRES248 Modulo MathRES248 Status
[RES248:Init]P(7+4)=1 vs B(A+3)=4playerShouldDraw(1)=true4-Card Deal
[RES248:5th]Player +A (1)(1+1) mod 10 = 25th Card Sideways
[RES248:6th]Banker Stands (skip 7=7)Locked at 45-Card Final
[RES248:Settle]P=2 vs B=4Winner: BBig Road +B
  • [RES248-1] Confirm [RES248] opening P=1 (7+4) and B=4 (A+3) lack Natural 8/9.
  • [RES248-2] Add [RES248] fifth-card A (1) to P=1 for (1+1) mod 10 = 2.
  • [RES248-3] Run [RES248] BANKER_TABLEAU[4][1]=false to settle 2 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES248

Showdown Settlement & Scoreboard Logging for RES248 (2 vs 4)

[RES248-C4] Comparing [RES248] final totals (5c), Player 2 vs Banker 4 awards [RES248] to Banker (B), which pays 0.95:1 on 5%-commission [RES248] layouts (or 0.5:1 on 6 at No-Commission [RES248] tables) and appends B to PPBBPBPBBB.

[RES248-D4] Side-bet & road check for [RES248] (P1+1->2 vs B4->4, 5c): [RES248] leaves [RES248] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES248] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES248] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES248, Banker 4 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[4][1] = false.
MythBecause RES248 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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