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FINAL TOTAL RESOLUTION [RES395] · 5-CARD PROOF

Player 4 + 5 (5) vs. Banker 6 (Stands at 6): 5-Card Resolution #395

In walkthrough RES395, Player opens with 2+2 (4) and draws fifth-card 5 (5) for a modulo-10 total of 9, while Banker opens with 3+3 (6) and stands pat at 6 (5-card P outcome).

RES395 Player Path
P:4->9
RES395 Banker Path
B:6->6
RES395 Deal Length
5 Cards
RES395 Showdown
P (9v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
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 RES395 (P4+5->9 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 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

RES395 Four-Card Opening Deal
Player 2+2=4 vs Banker 3+3=6

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

RES395 Fifth-Card Modulo Proof
(4 + 5) mod 10 = 9 via 5

Player draws fifth-card 5 (value 5), transforming two-card 4 into three-card 9.

RES395 Banker Tableau Lookup
BANKER_TABLEAU[6][5] = false

Banker 6 stands pat at 6 without pulling sixth-card 7 (7).

RES395 Card Count & Winner
5 Cards -> P (9 vs 6)

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

RES395 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 · RES395

Step-by-Step Card Arithmetic for RES395: P(2+2)+5 vs B(3+3)

During tableau case [RES395], Player holds 2+2 for 4 while Banker holds 3+3 for 6; drawing fifth-card 5 (5) shifts Player from 4 to 9, which reduces mod-10 to 9.

[RES395-B] Five-card branch [RES395] ends as 5 (5) falls outside 6-point two-value trigger (6..7), keeping Banker 6 at 6 rather than 3 via 7.

Complete 5-Card Resolution Trace for RES395
RES395 StageRES395 CardsRES395 Modulo MathRES395 Status
[RES395:Init]P(2+2)=4 vs B(3+3)=6playerShouldDraw(4)=true4-Card Deal
[RES395:5th]Player +5 (5)(4+5) mod 10 = 95th Card Sideways
[RES395:6th]Banker Stands (skip 7=7)Locked at 65-Card Final
[RES395:Settle]P=9 vs B=6Winner: PBig Road +P
  • [RES395-1] Confirm [RES395] opening P=4 (2+2) and B=6 (3+3) lack Natural 8/9.
  • [RES395-2] Add [RES395] fifth-card 5 (5) to P=4 for (4+5) mod 10 = 9.
  • [RES395-3] Run [RES395] BANKER_TABLEAU[6][5]=false to settle 9 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES395

Showdown Settlement & Scoreboard Logging for RES395 (9 vs 6)

[RES395-C2] Comparing [RES395] final totals (5c), Player 9 vs Banker 6 awards [RES395] to Player (P), which pays 1:1 even money on [RES395] Player boxes with zero commission deducted and appends P to BBPPBPPPBB.

[RES395-D1] Side-bet & road check for [RES395] (P4+5->9 vs B6->6, 5c): [RES395] leaves [RES395] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES395] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES395] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES395, Banker 6 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[6][5] = false.
MythBecause RES395 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
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