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FINAL TOTAL RESOLUTION [RES355] · 5-CARD PROOF

Player 0 + 9 (9) vs. Banker 5 (Stands at 5): 5-Card Resolution #355

In walkthrough RES355, Player opens with 10+K (0) and draws fifth-card 9 (9) for a modulo-10 total of 9, while Banker opens with A+4 (5) and stands pat at 5 (5-card P outcome).

RES355 Player Path
P:0->9
RES355 Banker Path
B:5->5
RES355 Deal Length
5 Cards
RES355 Showdown
P (9v5)
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 RES355 (P0+9->9 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

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

RES355 Four-Card Opening Deal
Player 10+K=0 vs Banker A+4=5

Verified non-natural start via handTotal([10,K])=0 and handTotal([A,4])=5.

RES355 Fifth-Card Modulo Proof
(0 + 9) mod 10 = 9 via 9

Player draws fifth-card 9 (value 9), transforming two-card 0 into three-card 9.

RES355 Banker Tableau Lookup
BANKER_TABLEAU[5][9] = false

Banker 5 stands pat at 5 without pulling sixth-card 6 (6).

RES355 Card Count & Winner
5 Cards -> P (9 vs 5)

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

RES355 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 · RES355

Step-by-Step Card Arithmetic for RES355: P(10+K)+9 vs B(A+4)

Under audit [RES355], Player opens on two-card 0 (10+K) opposite Banker 5 (A+4), triggering a mandatory fifth-card pull of 9 (value 9) that settles via mod-10 arithmetic from 9 into 9.

[RES355-B] Evaluating bankerShouldDraw(5, 9)=false (5-point four-value window (4..7)) in [RES355], Banker 5 preserves 5 while 6 (6) remains undealt.

Complete 5-Card Resolution Trace for RES355
RES355 StageRES355 CardsRES355 Modulo MathRES355 Status
[RES355:Init]P(10+K)=0 vs B(A+4)=5playerShouldDraw(0)=true4-Card Deal
[RES355:5th]Player +9 (9)(0+9) mod 10 = 95th Card Sideways
[RES355:6th]Banker Stands (skip 6=6)Locked at 55-Card Final
[RES355:Settle]P=9 vs B=5Winner: PBig Road +P
  • [RES355-1] Confirm [RES355] opening P=0 (10+K) and B=5 (A+4) lack Natural 8/9.
  • [RES355-2] Add [RES355] fifth-card 9 (9) to P=0 for (0+9) mod 10 = 9.
  • [RES355-3] Run [RES355] BANKER_TABLEAU[5][9]=false to settle 9 vs 5 (P).
SETTLEMENT & SCOREBOARD · RES355

Showdown Settlement & Scoreboard Logging for RES355 (9 vs 5)

[RES355-C0] Comparing [RES355] final totals (5c), Player 9 vs Banker 5 awards [RES355] to Player (P), which pays 1:1 even money on [RES355] Player boxes with zero commission deducted and appends P to BBPPPBBPBB.

[RES355-D5] Side-bet & road check for [RES355] (P0+9->9 vs B5->5, 5c): [RES355] leaves [RES355] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=5) and leaves [RES355] Panda 8 inactive (needs winning 3c Player 8, got P=9); on [RES355] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES355, Banker 5 evaluates Player's three-card total (9) before deciding whether to draw.
TruthBanker 5 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[5][9] = false.
MythBecause RES355 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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