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FINAL TOTAL RESOLUTION [RES187] · 6-CARD PROOF

Player 0 + A (1) vs. Banker 3 (Draws 2 (2)): 6-Card Resolution #187

In walkthrough RES187, Player opens with 10+K (0) and draws fifth-card A (1) for a modulo-10 total of 1, while Banker opens with 9+4 (3) and draws sixth-card 2 (2) for 5 (6-card B outcome).

RES187 Player Path
P:0->1
RES187 Banker Path
B:3->5
RES187 Deal Length
6 Cards
RES187 Showdown
B (1v5)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

Open this shoe in /calculator
Big Road B B P P B P P P B B B B P B B P P B B P
Big Eye Boy = = ≠ ≠ = ≠ = = ≠ ≠ ≠ ≠ ≠ = = = =
Small Road ≠ = ≠ ≠ ≠ = = ≠ ≠ = ≠ ≠ ≠ = =
Cockroach Pig = ≠ ≠ = ≠ = ≠ = = ≠ = ≠ ≠ ≠

Scoreboard sequence paired with 6-card resolution RES187 (P0+1->1 vs B3->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 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

  1. Column 4 starts, so use Rule 1: compare Column 3 with Column 2, 1 column further back.
  2. Column 3 has 1 bead. Column 2 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 3, the one that just finished, with Column 2.

Small Road Mark #3

This bead is at Row 3. Column 2 stopped at Row 2, one row above → blue (≠).

  1. Column 4 goes down to Row 3, so use Rule 2: look 2 columns back, at Column 2.
  2. Column 2 stopped at Row 2, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 2 stopped exactly one row above this bead.

Cockroach Pig Mark #3

Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

  1. Column 5 starts, so use Rule 1: compare Column 4 with Column 1, 3 columns further back.
  2. Column 4 has 3 beads. Column 1 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 4, the one that just finished, with Column 1.

Verified Reference Data

Key Facts & Table Specifications

RES187 Four-Card Opening Deal
Player 10+K=0 vs Banker 9+4=3

Verified non-natural start via handTotal([10,K])=0 and handTotal([9,4])=3.

RES187 Fifth-Card Modulo Proof
(0 + 1) mod 10 = 1 via A

Player draws fifth-card A (value 1), transforming two-card 0 into three-card 1.

RES187 Banker Tableau Lookup
BANKER_TABLEAU[3][1] = true

Banker 3 draws sixth-card 2 (2) so (3+2) mod 10 = 5.

RES187 Card Count & Winner
6 Cards -> B (1 vs 5)

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

RES187 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 · RES187

Step-by-Step Card Arithmetic for RES187: P(10+K)+A vs B(9+4)

Under audit [RES187], Player opens on two-card 0 (10+K) opposite Banker 3 (9+4), triggering a mandatory fifth-card pull of A (value 1) that settles via mod-10 arithmetic from 1 into 1.

[RES187-B] Six-card branch [RES187] activates as A (1) hits Banker 3's 3-point single-shade row (0..7, 9); drawing 2 (2) sends 3+2=5 to 5.

Complete 6-Card Resolution Trace for RES187
RES187 StageRES187 CardsRES187 Modulo MathRES187 Status
[RES187:Init]P(10+K)=0 vs B(9+4)=3playerShouldDraw(0)=true4-Card Deal
[RES187:5th]Player +A (1)(0+1) mod 10 = 15th Card Sideways
[RES187:6th]Banker +2 (2)(3+2) mod 10 = 56-Card Final
[RES187:Settle]P=1 vs B=5Winner: BBig Road +B
  • [RES187-1] Confirm [RES187] opening P=0 (10+K) and B=3 (9+4) lack Natural 8/9.
  • [RES187-2] Add [RES187] fifth-card A (1) to P=0 for (0+1) mod 10 = 1.
  • [RES187-3] Run [RES187] BANKER_TABLEAU[3][1]=true to settle 1 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES187

Showdown Settlement & Scoreboard Logging for RES187 (1 vs 5)

[RES187-C7] Comparing [RES187] final totals (6c), Player 1 vs Banker 5 awards [RES187] to Banker (B), which pays 0.95:1 on 5%-commission [RES187] layouts (or 0.5:1 on 6 at No-Commission [RES187] tables) and appends B to BBPPBPPPBB.

[RES187-D1] Side-bet & road check for [RES187] (P0+1->1 vs B3->5, 6c): [RES187] leaves [RES187] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES187] Panda 8 inactive (needs winning 3c Player 8, got P=1); on [RES187] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES187, Banker 3 evaluates Player's three-card total (1) before deciding whether to draw.
TruthBanker 3 inspects only Player's fifth card A (value 1) via BANKER_TABLEAU[3][1] = true.
MythBecause RES187 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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