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FINAL TOTAL RESOLUTION [RES388] · 5-CARD PROOF

Player 3 + 4 (4) vs. Banker 6 (Stands at 6): 5-Card Resolution #388

In walkthrough RES388, Player opens with 9+4 (3) and draws fifth-card 4 (4) for a modulo-10 total of 7, while Banker opens with 2+4 (6) and stands pat at 6 (5-card P outcome).

RES388 Player Path
P:3->7
RES388 Banker Path
B:6->6
RES388 Deal Length
5 Cards
RES388 Showdown
P (7v6)
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 RES388 (P3+4->7 vs B6->6).

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

RES388 Four-Card Opening Deal
Player 9+4=3 vs Banker 2+4=6

Verified non-natural start via handTotal([9,4])=3 and handTotal([2,4])=6.

RES388 Fifth-Card Modulo Proof
(3 + 4) mod 10 = 7 via 4

Player draws fifth-card 4 (value 4), transforming two-card 3 into three-card 7.

RES388 Banker Tableau Lookup
BANKER_TABLEAU[6][4] = false

Banker 6 stands pat at 6 without pulling sixth-card 4 (4).

RES388 Card Count & Winner
5 Cards -> P (7 vs 6)

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

RES388 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES388

Step-by-Step Card Arithmetic for RES388: P(9+4)+4 vs B(2+4)

In coup [RES388], initial cards deal 9+4=3 to Player and 2+4=6 to Banker; lacking a four-card natural, Player takes fifth-card 4 (4) where raw sum 7 projects onto the 0..9 ring to 7.

[RES388-B] Because BANKER_TABLEAU[6][4]=false (6-point two-value trigger (6..7)) in [RES388], Banker 6 locks 6 at 5c (leaving 4=4 -> 0 unpulled).

Complete 5-Card Resolution Trace for RES388
RES388 StageRES388 CardsRES388 Modulo MathRES388 Status
[RES388:Init]P(9+4)=3 vs B(2+4)=6playerShouldDraw(3)=true4-Card Deal
[RES388:5th]Player +4 (4)(3+4) mod 10 = 75th Card Sideways
[RES388:6th]Banker Stands (skip 4=4)Locked at 65-Card Final
[RES388:Settle]P=7 vs B=6Winner: PBig Road +P
  • [RES388-1] Confirm [RES388] opening P=3 (9+4) and B=6 (2+4) lack Natural 8/9.
  • [RES388-2] Add [RES388] fifth-card 4 (4) to P=3 for (3+4) mod 10 = 7.
  • [RES388-3] Run [RES388] BANKER_TABLEAU[6][4]=false to settle 7 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES388

Showdown Settlement & Scoreboard Logging for RES388 (7 vs 6)

[RES388-C0] Comparing [RES388] final totals (5c), Player 7 vs Banker 6 awards [RES388] to Player (P), which pays 1:1 even money on [RES388] Player boxes with zero commission deducted and appends P to PPBBBPPBPP.

[RES388-D3] Side-bet & road check for [RES388] (P3+4->7 vs B6->6, 5c): [RES388] leaves [RES388] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES388] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES388] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES388, Banker 6 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[6][4] = false.
MythBecause RES388 resolves as P, the next derived-road mark must match P'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

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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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