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FINAL TOTAL RESOLUTION [RES387] · 5-CARD PROOF

Player 2 + 4 (4) vs. Banker 6 (Stands at 6): 5-Card Resolution #387

In walkthrough RES387, Player opens with 10+2 (2) and draws fifth-card 4 (4) for a modulo-10 total of 6, while Banker opens with 3+3 (6) and stands pat at 6 (5-card T outcome).

RES387 Player Path
P:2->6
RES387 Banker Path
B:6->6
RES387 Deal Length
5 Cards
RES387 Showdown
T (6v6)
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 P B B P P B P P P B B B B
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 5-card resolution RES387 (P2+4->6 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

RES387 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.

RES387 Fifth-Card Modulo Proof
(2 + 4) mod 10 = 6 via 4

Player draws fifth-card 4 (value 4), transforming two-card 2 into three-card 6.

RES387 Banker Tableau Lookup
BANKER_TABLEAU[6][4] = false

Banker 6 stands pat at 6 without pulling sixth-card 10 (0).

RES387 Card Count & Winner
5 Cards -> T (6 vs 6)

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

RES387 Derived Road Independence
Red (=) / Blue (≠) Symmetry Only

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

MODULO-10 ARITHMETIC · RES387

Step-by-Step Card Arithmetic for RES387: P(10+2)+4 vs B(3+3)

Evaluating sequence [RES387], the shoe delivers 10+2 (2) to Player and 3+3 (6) to Banker; after natural checks clear, fifth-card 4 (4) maps the raw pip total mod 10 (2+4=6) to final Player total 6.

[RES387-B] Because BANKER_TABLEAU[6][4]=false (6-point two-value trigger (6..7)) in [RES387], Banker 6 locks 6 at 5c (leaving 10=0 -> 6 unpulled).

Complete 5-Card Resolution Trace for RES387
RES387 StageRES387 CardsRES387 Modulo MathRES387 Status
[RES387:Init]P(10+2)=2 vs B(3+3)=6playerShouldDraw(2)=true4-Card Deal
[RES387:5th]Player +4 (4)(2+4) mod 10 = 65th Card Sideways
[RES387:6th]Banker Stands (skip 10=0)Locked at 65-Card Final
[RES387:Settle]P=6 vs B=6Winner: TBig Road +T
  • [RES387-1] Confirm [RES387] opening P=2 (10+2) and B=6 (3+3) lack Natural 8/9.
  • [RES387-2] Add [RES387] fifth-card 4 (4) to P=2 for (2+4) mod 10 = 6.
  • [RES387-3] Run [RES387] BANKER_TABLEAU[6][4]=false to settle 6 vs 6 (T).
SETTLEMENT & SCOREBOARD · RES387

Showdown Settlement & Scoreboard Logging for RES387 (6 vs 6)

[RES387-C6] Comparing [RES387] final totals (5c), Player 6 vs Banker 6 awards [RES387] to Tie (T), which pushes main [RES387] Player/Banker wagers while settling [RES387] Tie bets at 8:1 or 9:1 and appends T to BBPPPBBPBB.

[RES387-D7] Side-bet & road check for [RES387] (P2+4->6 vs B6->6, 5c): [RES387] leaves [RES387] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=6) and leaves [RES387] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES387] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES387, Banker 6 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 6 inspects only Player's fifth card 4 (value 4) via BANKER_TABLEAU[6][4] = false.
MythBecause RES387 resolves as T, the next derived-road mark must match T'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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