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FINAL TOTAL RESOLUTION [RES151] · 6-CARD PROOF

Player 0 + 5 (5) vs. Banker 2 (Draws 7 (7)): 6-Card Resolution #151

In walkthrough RES151, Player opens with 10+K (0) and draws fifth-card 5 (5) for a modulo-10 total of 5, while Banker opens with 10+2 (2) and draws sixth-card 7 (7) for 9 (6-card B outcome).

RES151 Player Path
P:0->5
RES151 Banker Path
B:2->9
RES151 Deal Length
6 Cards
RES151 Showdown
B (5v9)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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Big Road B B P P B P B P P P B B B B P P B P B B
Big Eye Boy = = ≠ = = ≠ = ≠ = = ≠ ≠ = ≠ ≠ = ≠
Small Road ≠ ≠ = ≠ = ≠ ≠ = = ≠ = ≠ ≠ ≠ ≠
Cockroach Pig ≠ ≠ ≠ = ≠ ≠ = = ≠ ≠ ≠ ≠ ≠ =

Scoreboard sequence paired with 6-card resolution RES151 (P0+5->5 vs B2->9).

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

Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

  1. Column 6 starts, so use Rule 1: compare Column 5 with Column 3, 2 columns further back.
  2. Column 5 has 1 bead. Column 3 has 1 bead. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 5, the one that just finished, with Column 3.

Cockroach Pig Mark #3

This bead is at Row 2. Column 3 stopped at Row 1, one row above → blue (≠).

  1. Column 6 goes down to Row 2, so use Rule 2: look 3 columns back, at Column 3.
  2. Column 3 stopped at Row 1, one row above → blue (≠).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 3 stopped exactly one row above this bead.

Verified Reference Data

Key Facts & Table Specifications

RES151 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+2=2

Verified non-natural start via handTotal([10,K])=0 and handTotal([10,2])=2.

RES151 Fifth-Card Modulo Proof
(0 + 5) mod 10 = 5 via 5

Player draws fifth-card 5 (value 5), transforming two-card 0 into three-card 5.

RES151 Banker Tableau Lookup
BANKER_TABLEAU[2][5] = true

Banker 2 draws sixth-card 7 (7) so (2+7) mod 10 = 9.

RES151 Card Count & Winner
6 Cards -> B (5 vs 9)

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

RES151 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 · RES151

Step-by-Step Card Arithmetic for RES151: P(10+K)+5 vs B(10+2)

Shoe deal [RES151] places 10+K (0) on Player and 10+2 (2) on Banker; because 0 is below 6, Player draws 5 (5) and 5 truncates the decimal tens place to 5.

[RES151-B] Next in [RES151], Banker consults 2-point mandatory draw band: facing fifth-card 5 (5), Banker 2 draws 7 (7) so 2+7=9 -> 9.

Complete 6-Card Resolution Trace for RES151
RES151 StageRES151 CardsRES151 Modulo MathRES151 Status
[RES151:Init]P(10+K)=0 vs B(10+2)=2playerShouldDraw(0)=true4-Card Deal
[RES151:5th]Player +5 (5)(0+5) mod 10 = 55th Card Sideways
[RES151:6th]Banker +7 (7)(2+7) mod 10 = 96-Card Final
[RES151:Settle]P=5 vs B=9Winner: BBig Road +B
  • [RES151-1] Confirm [RES151] opening P=0 (10+K) and B=2 (10+2) lack Natural 8/9.
  • [RES151-2] Add [RES151] fifth-card 5 (5) to P=0 for (0+5) mod 10 = 5.
  • [RES151-3] Run [RES151] BANKER_TABLEAU[2][5]=true to settle 5 vs 9 (B).
SETTLEMENT & SCOREBOARD · RES151

Showdown Settlement & Scoreboard Logging for RES151 (5 vs 9)

[RES151-C3] Comparing [RES151] final totals (6c), Player 5 vs Banker 9 awards [RES151] to Banker (B), which pays 0.95:1 on 5%-commission [RES151] layouts (or 0.5:1 on 6 at No-Commission [RES151] tables) and appends B to BBPPBPBPPP.

[RES151-D2] Side-bet & road check for [RES151] (P0+5->5 vs B2->9, 6c): [RES151] leaves [RES151] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=9) and leaves [RES151] Panda 8 inactive (needs winning 3c Player 8, got P=5); on [RES151] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES151, Banker 2 evaluates Player's three-card total (5) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 5 (value 5) via BANKER_TABLEAU[2][5] = true.
MythBecause RES151 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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