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FINAL TOTAL RESOLUTION [RES314] · 5-CARD PROOF

Player 1 + 2 (2) vs. Banker 5 (Stands at 5): 5-Card Resolution #314

In walkthrough RES314, Player opens with 7+4 (1) and draws fifth-card 2 (2) for a modulo-10 total of 3, while Banker opens with 2+3 (5) and stands pat at 5 (5-card B outcome).

RES314 Player Path
P:1->3
RES314 Banker Path
B:5->5
RES314 Deal Length
5 Cards
RES314 Showdown
B (3v5)
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 RES314 (P1+2->3 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

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

RES314 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.

RES314 Fifth-Card Modulo Proof
(1 + 2) mod 10 = 3 via 2

Player draws fifth-card 2 (value 2), transforming two-card 1 into three-card 3.

RES314 Banker Tableau Lookup
BANKER_TABLEAU[5][2] = false

Banker 5 stands pat at 5 without pulling sixth-card 7 (7).

RES314 Card Count & Winner
5 Cards -> B (3 vs 5)

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

RES314 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 · RES314

Step-by-Step Card Arithmetic for RES314: P(7+4)+2 vs B(2+3)

Canonical test [RES314] examines Player 1 (7+4) against Banker 5 (2+3); the fifth card 2 (2) brings Player's raw count to 3, which computes the single-digit remainder to 3.

[RES314-B] Under 5-point four-value window (4..7) for [RES314], 2 (2) closes action at 5c with Banker at 5 (had 7=7 landed, 5+7=12 -> 2).

Complete 5-Card Resolution Trace for RES314
RES314 StageRES314 CardsRES314 Modulo MathRES314 Status
[RES314:Init]P(7+4)=1 vs B(2+3)=5playerShouldDraw(1)=true4-Card Deal
[RES314:5th]Player +2 (2)(1+2) mod 10 = 35th Card Sideways
[RES314:6th]Banker Stands (skip 7=7)Locked at 55-Card Final
[RES314:Settle]P=3 vs B=5Winner: BBig Road +B
  • [RES314-1] Confirm [RES314] opening P=1 (7+4) and B=5 (2+3) lack Natural 8/9.
  • [RES314-2] Add [RES314] fifth-card 2 (2) to P=1 for (1+2) mod 10 = 3.
  • [RES314-3] Run [RES314] BANKER_TABLEAU[5][2]=false to settle 3 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES314

Showdown Settlement & Scoreboard Logging for RES314 (3 vs 5)

[RES314-C4] Comparing [RES314] final totals (5c), Player 3 vs Banker 5 awards [RES314] to Banker (B), which pays 0.95:1 on 5%-commission [RES314] layouts (or 0.5:1 on 6 at No-Commission [RES314] tables) and appends B to PPBBBPPPPB.

[RES314-D0] Side-bet & road check for [RES314] (P1+2->3 vs B5->5, 5c): [RES314] leaves [RES314] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES314] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES314] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES314, Banker 5 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 2 (value 2) via BANKER_TABLEAU[5][2] = false.
MythBecause RES314 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
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