Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #259
FINAL TOTAL RESOLUTION [RES259] · 6-CARD PROOF

Player 0 + 3 (3) vs. Banker 4 (Draws A (1)): 6-Card Resolution #259

In walkthrough RES259, Player opens with 10+K (0) and draws fifth-card 3 (3) for a modulo-10 total of 3, while Banker opens with 2+2 (4) and draws sixth-card A (1) for 5 (6-card B outcome).

RES259 Player Path
P:0->3
RES259 Banker Path
B:4->5
RES259 Deal Length
6 Cards
RES259 Showdown
B (3v5)
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 6-card resolution RES259 (P0+3->3 vs B4->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 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

RES259 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.

RES259 Fifth-Card Modulo Proof
(0 + 3) mod 10 = 3 via 3

Player draws fifth-card 3 (value 3), transforming two-card 0 into three-card 3.

RES259 Banker Tableau Lookup
BANKER_TABLEAU[4][3] = true

Banker 4 draws sixth-card A (1) so (4+1) mod 10 = 5.

RES259 Card Count & Winner
6 Cards -> B (3 vs 5)

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

RES259 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 · RES259

Step-by-Step Card Arithmetic for RES259: P(10+K)+3 vs B(2+2)

Matrix coordinate [RES259] isolates Player two-card 0 (10+K) and Banker 4 (2+2); dealing fifth-card 3 (3) yields raw 3 that retains the rightmost digit to 3.

[RES259-B] Acting on 3=3 inside [RES259], Banker 4 follows 4-point six-value gate (2..7) and pulls A (1) for 4+1=5 -> 5.

Complete 6-Card Resolution Trace for RES259
RES259 StageRES259 CardsRES259 Modulo MathRES259 Status
[RES259:Init]P(10+K)=0 vs B(2+2)=4playerShouldDraw(0)=true4-Card Deal
[RES259:5th]Player +3 (3)(0+3) mod 10 = 35th Card Sideways
[RES259:6th]Banker +A (1)(4+1) mod 10 = 56-Card Final
[RES259:Settle]P=3 vs B=5Winner: BBig Road +B
  • [RES259-1] Confirm [RES259] opening P=0 (10+K) and B=4 (2+2) lack Natural 8/9.
  • [RES259-2] Add [RES259] fifth-card 3 (3) to P=0 for (0+3) mod 10 = 3.
  • [RES259-3] Run [RES259] BANKER_TABLEAU[4][3]=true to settle 3 vs 5 (B).
SETTLEMENT & SCOREBOARD · RES259

Showdown Settlement & Scoreboard Logging for RES259 (3 vs 5)

[RES259-C4] Comparing [RES259] final totals (6c), Player 3 vs Banker 5 awards [RES259] to Banker (B), which pays 0.95:1 on 5%-commission [RES259] layouts (or 0.5:1 on 6 at No-Commission [RES259] tables) and appends B to BBPPPBBPBB.

[RES259-D12] Side-bet & road check for [RES259] (P0+3->3 vs B4->5, 6c): [RES259] leaves [RES259] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=5) and leaves [RES259] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES259] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES259, Banker 4 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 4 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[4][3] = true.
MythBecause RES259 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

Every reference guide, glossary definition, and road calculator on Baccarat Smart is open for everyone. When you want all 6 modules and 36 lessons (about 5.5 hours of lessons) organized in structured step-by-step order with 74 hands-on boards, 94 quiz checks along the way, and Cloud Shoe Log sync across web, iPhone, and Android, start Module 1 (10 lessons, about 64 minutes of lessons) free or unlock full membership for $25 a month.

  • 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
  • Cloud Shoe Log and cross-device progress on web, iOS, and Android