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FINAL TOTAL RESOLUTION [RES393] · 5-CARD PROOF

Player 2 + 5 (5) vs. Banker 6 (Stands at 6): 5-Card Resolution #393

In walkthrough RES393, Player opens with 10+2 (2) and draws fifth-card 5 (5) for a modulo-10 total of 7, while Banker opens with 3+3 (6) and stands pat at 6 (5-card P outcome).

RES393 Player Path
P:2->7
RES393 Banker Path
B:6->6
RES393 Deal Length
5 Cards
RES393 Showdown
P (7v6)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 5-card resolution RES393 (P2+5->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

RES393 Four-Card Opening Deal
Player 10+2=2 vs Banker 3+3=6

Verified non-natural start via handTotal([10,2])=2 and handTotal([3,3])=6.

RES393 Fifth-Card Modulo Proof
(2 + 5) mod 10 = 7 via 5

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

RES393 Banker Tableau Lookup
BANKER_TABLEAU[6][5] = false

Banker 6 stands pat at 6 without pulling sixth-card 9 (9).

RES393 Card Count & Winner
5 Cards -> P (7 vs 6)

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

RES393 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 · RES393

Step-by-Step Card Arithmetic for RES393: P(10+2)+5 vs B(3+3)

[RES393] Walkthrough #393 begins with Player holding 10+2 (2) against Banker 3+3 (6); since neither side holds 8 or 9, Player draws fifth-card 5 (5) so 2+5=7 applies base-10 modular addition to 7.

[RES393-B] Evaluating bankerShouldDraw(6, 5)=false (6-point two-value trigger (6..7)) in [RES393], Banker 6 preserves 6 while 9 (9) remains undealt.

Complete 5-Card Resolution Trace for RES393
RES393 StageRES393 CardsRES393 Modulo MathRES393 Status
[RES393:Init]P(10+2)=2 vs B(3+3)=6playerShouldDraw(2)=true4-Card Deal
[RES393:5th]Player +5 (5)(2+5) mod 10 = 75th Card Sideways
[RES393:6th]Banker Stands (skip 9=9)Locked at 65-Card Final
[RES393:Settle]P=7 vs B=6Winner: PBig Road +P
  • [RES393-1] Confirm [RES393] opening P=2 (10+2) and B=6 (3+3) lack Natural 8/9.
  • [RES393-2] Add [RES393] fifth-card 5 (5) to P=2 for (2+5) mod 10 = 7.
  • [RES393-3] Run [RES393] BANKER_TABLEAU[6][5]=false to settle 7 vs 6 (P).
SETTLEMENT & SCOREBOARD · RES393

Showdown Settlement & Scoreboard Logging for RES393 (7 vs 6)

[RES393-C3] Comparing [RES393] final totals (5c), Player 7 vs Banker 6 awards [RES393] to Player (P), which pays 1:1 even money on [RES393] Player boxes with zero commission deducted and appends P to BBPPPBBBBP.

[RES393-D9] Side-bet & road check for [RES393] (P2+5->7 vs B6->6, 5c): [RES393] leaves [RES393] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES393] Panda 8 inactive (needs winning 3c Player 8, got P=7); on [RES393] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES393, Banker 6 evaluates Player's three-card total (7) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[6][5] = false.
MythBecause RES393 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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