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FINAL TOTAL RESOLUTION [RES308] · 5-CARD PROOF

Player 1 + A (1) vs. Banker 5 (Stands at 5): 5-Card Resolution #308

In walkthrough RES308, Player opens with 7+4 (1) and draws fifth-card A (1) for a modulo-10 total of 2, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES308 Player Path
P:1->2
RES308 Banker Path
B:5->5
RES308 Deal Length
5 Cards
RES308 Showdown
B (2v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES308 (P1+1->2 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 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

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

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

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 2.

Cockroach Pig Mark #3

Column 5 has 2 beads. 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 2 beads. 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

RES308 Four-Card Opening Deal
Player 7+4=1 vs Banker 2+3=5

Verified non-natural start via handTotal([7,4])=1 and handTotal([2,3])=5.

RES308 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.

RES308 Banker Tableau Lookup
BANKER_TABLEAU[5][1] = false

Banker 5 stands pat at 5 without pulling sixth-card 8 (8).

RES308 Card Count & Winner
5 Cards -> B (2 vs 5)

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

RES308 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 · RES308

Step-by-Step Card Arithmetic for RES308: P(7+4)+A vs B(2+3)

Step-by-step proof [RES308] pairs Player 7+4 (1) with Banker 2+3 (5); because 1 sits in the 0..5 draw zone, fifth-card A (1) lands and 1+1=2 resolves the unit-digit sum to 2.

[RES308-B] Next in [RES308], Banker applies 5-point four-value window (4..7): vs A (1), Banker 5 stands at 5 in 5c (skipping 8=8 -> 3).

Complete 5-Card Resolution Trace for RES308
RES308 StageRES308 CardsRES308 Modulo MathRES308 Status
[RES308:Init]P(7+4)=1 vs B(2+3)=5playerShouldDraw(1)=true4-Card Deal
[RES308:5th]Player +A (1)(1+1) mod 10 = 25th Card Sideways
[RES308:6th]Banker Stands (skip 8=8)Locked at 55-Card Final
[RES308:Settle]P=2 vs B=5Winner: BBig Road +B
  • [RES308-1] Confirm [RES308] opening P=1 (7+4) and B=5 (2+3) lack Natural 8/9.
  • [RES308-2] Add [RES308] fifth-card A (1) to P=1 for (1+1) mod 10 = 2.
  • [RES308-3] Run [RES308] BANKER_TABLEAU[5][1]=false to settle 2 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES308

Showdown Settlement & Scoreboard Logging for RES308 (2 vs 5)

[RES308-C7] Comparing [RES308] final totals (5c), Player 2 vs Banker 5 awards [RES308] to Banker (B), which pays 0.95:1 on 5%-commission [RES308] layouts (or 0.5:1 on 6 at No-Commission [RES308] tables) and appends B to PPBBBPPBPP.

[RES308-D11] Side-bet & road check for [RES308] (P1+1->2 vs B5->5, 5c): [RES308] leaves [RES308] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES308] Panda 8 inactive (needs winning 3c Player 8, got P=2); on [RES308] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES308, Banker 5 evaluates Player's three-card total (2) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[5][1] = false.
MythBecause RES308 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