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FINAL TOTAL RESOLUTION [RES291] · 5-CARD PROOF

Player 2 + 8 (8) vs. Banker 4 (Stands at 4): 5-Card Resolution #291

In walkthrough RES291, Player opens with 10+2 (2) and draws fifth-card 8 (8) for a modulo-10 total of 0, while Banker opens with 2+2 (4) and stands pat at 4 (5-card B outcome).

RES291 Player Path
P:2->0
RES291 Banker Path
B:4->4
RES291 Deal Length
5 Cards
RES291 Showdown
B (0v4)
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 RES291 (P2+8->0 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

RES291 Four-Card Opening Deal
Player 10+2=2 vs Banker 2+2=4

Verified non-natural start via handTotal([10,2])=2 and handTotal([2,2])=4.

RES291 Fifth-Card Modulo Proof
(2 + 8) mod 10 = 0 via 8

Player draws fifth-card 8 (value 8), transforming two-card 2 into three-card 0.

RES291 Banker Tableau Lookup
BANKER_TABLEAU[4][8] = false

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

RES291 Card Count & Winner
5 Cards -> B (0 vs 4)

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

RES291 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 · RES291

Step-by-Step Card Arithmetic for RES291: P(10+2)+8 vs B(2+2)

Shoe deal [RES291] places 10+2 (2) on Player and 2+2 (4) on Banker; because 2 is below 6, Player draws 8 (8) and 10 truncates the decimal tens place to 0.

[RES291-B] Five-card branch [RES291] ends as 8 (8) falls outside 4-point six-value gate (2..7), keeping Banker 4 at 4 rather than 8 via 4.

Complete 5-Card Resolution Trace for RES291
RES291 StageRES291 CardsRES291 Modulo MathRES291 Status
[RES291:Init]P(10+2)=2 vs B(2+2)=4playerShouldDraw(2)=true4-Card Deal
[RES291:5th]Player +8 (8)(2+8) mod 10 = 05th Card Sideways
[RES291:6th]Banker Stands (skip 4=4)Locked at 45-Card Final
[RES291:Settle]P=0 vs B=4Winner: BBig Road +B
  • [RES291-1] Confirm [RES291] opening P=2 (10+2) and B=4 (2+2) lack Natural 8/9.
  • [RES291-2] Add [RES291] fifth-card 8 (8) to P=2 for (2+8) mod 10 = 0.
  • [RES291-3] Run [RES291] BANKER_TABLEAU[4][8]=false to settle 0 vs 4 (B).
SETTLEMENT & SCOREBOARD · RES291

Showdown Settlement & Scoreboard Logging for RES291 (0 vs 4)

[RES291-C10] Comparing [RES291] final totals (5c), Player 0 vs Banker 4 awards [RES291] to Banker (B), which pays 0.95:1 on 5%-commission [RES291] layouts (or 0.5:1 on 6 at No-Commission [RES291] tables) and appends B to BBPPPBBPBB.

[RES291-D1] Side-bet & road check for [RES291] (P2+8->0 vs B4->4, 5c): [RES291] leaves [RES291] Dragon 7 inactive (needs winning 6c Banker 7, got 5c B=4) and leaves [RES291] Panda 8 inactive (needs winning 3c Player 8, got P=0); on [RES291] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES291, Banker 4 evaluates Player's three-card total (0) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 8 (value 8) via BANKER_TABLEAU[4][8] = false.
MythBecause RES291 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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