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FINAL TOTAL RESOLUTION [RES277] · 6-CARD PROOF

Player 0 + 6 (6) vs. Banker 4 (Draws 8 (8)): 6-Card Resolution #277

In walkthrough RES277, Player opens with 10+K (0) and draws fifth-card 6 (6) for a modulo-10 total of 6, while Banker opens with 2+2 (4) and draws sixth-card 8 (8) for 2 (6-card P outcome).

RES277 Player Path
P:0->6
RES277 Banker Path
B:4->2
RES277 Deal Length
6 Cards
RES277 Showdown
P (6v2)
Engine-Verified Scoreboard · 20 Hands

Read the Board at Table Speed

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

Scoreboard sequence paired with 6-card resolution RES277 (P0+6->6 vs B4->2).

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

This bead is at Row 2. Column 2 has a bead at Row 2 too → red (=).

  1. Column 3 goes down to Row 2, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 has a bead at Row 2 too → red (=).

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.

Small Road Mark #3

Column 4 has 1 bead. Column 2 has 2 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 2 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 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

  1. Column 7 starts, so use Rule 1: compare Column 6 with Column 3, 3 columns further back.
  2. Column 6 has 1 bead. Column 3 has 2 beads. Different depth → blue (≠).

Common table reading watchout: Comparing the wrong columns. Compare Column 6, the one that just finished, with Column 3.

Verified Reference Data

Key Facts & Table Specifications

RES277 Four-Card Opening Deal
Player 10+K=0 vs Banker 2+2=4

Verified non-natural start via handTotal([10,K])=0 and handTotal([2,2])=4.

RES277 Fifth-Card Modulo Proof
(0 + 6) mod 10 = 6 via 6

Player draws fifth-card 6 (value 6), transforming two-card 0 into three-card 6.

RES277 Banker Tableau Lookup
BANKER_TABLEAU[4][6] = true

Banker 4 draws sixth-card 8 (8) so (4+8) mod 10 = 2.

RES277 Card Count & Winner
6 Cards -> P (6 vs 2)

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

RES277 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 · RES277

Step-by-Step Card Arithmetic for RES277: P(10+K)+6 vs B(2+2)

Shoe deal [RES277] places 10+K (0) on Player and 2+2 (4) on Banker; because 0 is below 6, Player draws 6 (6) and 6 truncates the decimal tens place to 6.

[RES277-B] Evaluating bankerShouldDraw(4, 6)=true (4-point six-value gate (2..7)) in [RES277], sixth-card 8 (8) advances Banker 4 via 4+8=12 to 2.

Complete 6-Card Resolution Trace for RES277
RES277 StageRES277 CardsRES277 Modulo MathRES277 Status
[RES277:Init]P(10+K)=0 vs B(2+2)=4playerShouldDraw(0)=true4-Card Deal
[RES277:5th]Player +6 (6)(0+6) mod 10 = 65th Card Sideways
[RES277:6th]Banker +8 (8)(4+8) mod 10 = 26-Card Final
[RES277:Settle]P=6 vs B=2Winner: PBig Road +P
  • [RES277-1] Confirm [RES277] opening P=0 (10+K) and B=4 (2+2) lack Natural 8/9.
  • [RES277-2] Add [RES277] fifth-card 6 (6) to P=0 for (0+6) mod 10 = 6.
  • [RES277-3] Run [RES277] BANKER_TABLEAU[4][6]=true to settle 6 vs 2 (P).
SETTLEMENT & SCOREBOARD · RES277

Showdown Settlement & Scoreboard Logging for RES277 (6 vs 2)

[RES277-C6] Comparing [RES277] final totals (6c), Player 6 vs Banker 2 awards [RES277] to Player (P), which pays 1:1 even money on [RES277] Player boxes with zero commission deducted and appends P to BBPPBBPBPB.

[RES277-D5] Side-bet & road check for [RES277] (P0+6->6 vs B4->2, 6c): [RES277] leaves [RES277] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=2) and leaves [RES277] Panda 8 inactive (needs winning 3c Player 8, got P=6); on [RES277] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES277, Banker 4 evaluates Player's three-card total (6) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 6 (value 6) via BANKER_TABLEAU[4][6] = true.
MythBecause RES277 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

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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