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FINAL TOTAL RESOLUTION [RES378] · 5-CARD PROOF

Player 5 + 2 (2) vs. Banker 6 (Stands at 6): 5-Card Resolution #378

In walkthrough RES378, Player opens with A+4 (5) and draws fifth-card 2 (2) for a modulo-10 total of 7, while Banker opens with 2+4 (6) and stands pat at 6 (5-card P outcome).

RES378 Player Path
P:5->7
RES378 Banker Path
B:6->6
RES378 Deal Length
5 Cards
RES378 Showdown
P (7v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road P P B B B P P P P B B P B B B P P P B P
Big Eye Boy = ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = ≠ = = = ≠
Small Road = ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ ≠
Cockroach Pig = = ≠ = = ≠ = ≠ ≠ =

Scoreboard sequence paired with 5-card resolution RES378 (P5+2->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

This bead is at Row 4. Column 1 stopped at Row 2, more than one row above → red (=).

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

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 5 has 1 bead. 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 1 bead. 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

RES378 Four-Card Opening Deal
Player A+4=5 vs Banker 2+4=6

Verified non-natural start via handTotal([A,4])=5 and handTotal([2,4])=6.

RES378 Fifth-Card Modulo Proof
(5 + 2) mod 10 = 7 via 2

Player draws fifth-card 2 (value 2), transforming two-card 5 into three-card 7.

RES378 Banker Tableau Lookup
BANKER_TABLEAU[6][2] = false

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

RES378 Card Count & Winner
5 Cards -> P (7 vs 6)

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

RES378 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 · RES378

Step-by-Step Card Arithmetic for RES378: P(A+4)+2 vs B(2+4)

Step-by-step proof [RES378] pairs Player A+4 (5) with Banker 2+4 (6); because 5 sits in the 0..5 draw zone, fifth-card 2 (2) lands and 5+2=7 resolves the unit-digit sum to 7.

[RES378-B] Under 6-point two-value trigger (6..7) for [RES378], 2 (2) closes action at 5c with Banker at 6 (had 4=4 landed, 6+4=10 -> 0).

Complete 5-Card Resolution Trace for RES378
RES378 StageRES378 CardsRES378 Modulo MathRES378 Status
[RES378:Init]P(A+4)=5 vs B(2+4)=6playerShouldDraw(5)=true4-Card Deal
[RES378:5th]Player +2 (2)(5+2) mod 10 = 75th Card Sideways
[RES378:6th]Banker Stands (skip 4=4)Locked at 65-Card Final
[RES378:Settle]P=7 vs B=6Winner: PBig Road +P
  • [RES378-1] Confirm [RES378] opening P=5 (A+4) and B=6 (2+4) lack Natural 8/9.
  • [RES378-2] Add [RES378] fifth-card 2 (2) to P=5 for (5+2) mod 10 = 7.
  • [RES378-3] Run [RES378] BANKER_TABLEAU[6][2]=false to settle 7 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES378

Showdown Settlement & Scoreboard Logging for RES378 (7 vs 6)

[RES378-C5] Comparing [RES378] final totals (5c), Player 7 vs Banker 6 awards [RES378] to Player (P), which pays 1:1 even money on [RES378] Player boxes with zero commission deducted and appends P to PPBBBPPPPB.

[RES378-D4] Side-bet & road check for [RES378] (P5+2->7 vs B6->6, 5c): [RES378] leaves [RES378] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES378] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES378] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES378, Banker 6 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[6][2] = false.
MythBecause RES378 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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