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FINAL TOTAL RESOLUTION [RES292] · 5-CARD PROOF

Player 3 + 8 (8) vs. Banker 4 (Stands at 4): 5-Card Resolution #292

In walkthrough RES292, Player opens with 9+4 (3) and draws fifth-card 8 (8) for a modulo-10 total of 1, while Banker opens with A+3 (4) and stands pat at 4 (5-card B outcome).

RES292 Player Path
P:3->1
RES292 Banker Path
B:4->4
RES292 Deal Length
5 Cards
RES292 Showdown
B (1v4)
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 B P P B B P B B B P P P P
Big Eye Boy = ≠ ≠ = ≠ ≠ ≠ ≠ = = ≠ ≠ = ≠ = = ≠
Small Road = = ≠ = = ≠ ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig ≠ = ≠ = = = = ≠ ≠ = ≠ =

Scoreboard sequence paired with 5-card resolution RES292 (P3+8->1 vs B4->4).

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

RES292 Four-Card Opening Deal
Player 9+4=3 vs Banker A+3=4

Verified non-natural start via handTotal([9,4])=3 and handTotal([A,3])=4.

RES292 Fifth-Card Modulo Proof
(3 + 8) mod 10 = 1 via 8

Player draws fifth-card 8 (value 8), transforming two-card 3 into three-card 1.

RES292 Banker Tableau Lookup
BANKER_TABLEAU[4][8] = false

Banker 4 stands pat at 4 without pulling sixth-card 8 (8).

RES292 Card Count & Winner
5 Cards -> B (1 vs 4)

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

RES292 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 · RES292

Step-by-Step Card Arithmetic for RES292: P(9+4)+8 vs B(A+3)

Floor verification [RES292] inspects Player 9+4 (3) versus Banker A+3 (4); once fifth-card 8 (8) is exposed sideways, 3+8=11 drops the tens digit to three-card 1.

[RES292-B] Five-card branch [RES292] ends as 8 (8) falls outside 4-point six-value gate (2..7), keeping Banker 4 at 4 rather than 2 via 8.

Complete 5-Card Resolution Trace for RES292
RES292 StageRES292 CardsRES292 Modulo MathRES292 Status
[RES292:Init]P(9+4)=3 vs B(A+3)=4playerShouldDraw(3)=true4-Card Deal
[RES292:5th]Player +8 (8)(3+8) mod 10 = 15th Card Sideways
[RES292:6th]Banker Stands (skip 8=8)Locked at 45-Card Final
[RES292:Settle]P=1 vs B=4Winner: BBig Road +B
  • [RES292-1] Confirm [RES292] opening P=3 (9+4) and B=4 (A+3) lack Natural 8/9.
  • [RES292-2] Add [RES292] fifth-card 8 (8) to P=3 for (3+8) mod 10 = 1.
  • [RES292-3] Run [RES292] BANKER_TABLEAU[4][8]=false to settle 1 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES292

Showdown Settlement & Scoreboard Logging for RES292 (1 vs 4)

[RES292-C4] Comparing [RES292] final totals (5c), Player 1 vs Banker 4 awards [RES292] to Banker (B), which pays 0.95:1 on 5%-commission [RES292] layouts (or 0.5:1 on 6 at No-Commission [RES292] tables) and appends B to PPBBBPPBPP.

[RES292-D10] Side-bet & road check for [RES292] (P3+8->1 vs B4->4, 5c): [RES292] leaves [RES292] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES292] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES292] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES292, Banker 4 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[4][8] = false.
MythBecause RES292 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

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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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