Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #179
FINAL TOTAL RESOLUTION [RES179] · 6-CARD PROOF

Player 4 + 9 (9) vs. Banker 2 (Draws 9 (9)): 6-Card Resolution #179

In walkthrough RES179, Player opens with 2+2 (4) and draws fifth-card 9 (9) for a modulo-10 total of 3, while Banker opens with 10+2 (2) and draws sixth-card 9 (9) for 1 (6-card P outcome).

RES179 Player Path
P:4->3
RES179 Banker Path
B:2->1
RES179 Deal Length
6 Cards
RES179 Showdown
P (3v1)
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 RES179 (P4+9->3 vs B2->1).

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

RES179 Four-Card Opening Deal
Player 2+2=4 vs Banker 10+2=2

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

RES179 Fifth-Card Modulo Proof
(4 + 9) mod 10 = 3 via 9

Player draws fifth-card 9 (value 9), transforming two-card 4 into three-card 3.

RES179 Banker Tableau Lookup
BANKER_TABLEAU[2][9] = true

Banker 2 draws sixth-card 9 (9) so (2+9) mod 10 = 1.

RES179 Card Count & Winner
6 Cards -> P (3 vs 1)

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

RES179 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 · RES179

Step-by-Step Card Arithmetic for RES179: P(2+2)+9 vs B(10+2)

Shoe deal [RES179] places 2+2 (4) on Player and 10+2 (2) on Banker; because 4 is below 6, Player draws 9 (9) and 13 truncates the decimal tens place to 3.

[RES179-B] Because BANKER_TABLEAU[2][9]=true (2-point mandatory draw band) in [RES179], Banker 2 takes sixth-card 9 (9) and 2+9=11 settles at 1.

Complete 6-Card Resolution Trace for RES179
RES179 StageRES179 CardsRES179 Modulo MathRES179 Status
[RES179:Init]P(2+2)=4 vs B(10+2)=2playerShouldDraw(4)=true4-Card Deal
[RES179:5th]Player +9 (9)(4+9) mod 10 = 35th Card Sideways
[RES179:6th]Banker +9 (9)(2+9) mod 10 = 16-Card Final
[RES179:Settle]P=3 vs B=1Winner: PBig Road +P
  • [RES179-1] Confirm [RES179] opening P=4 (2+2) and B=2 (10+2) lack Natural 8/9.
  • [RES179-2] Add [RES179] fifth-card 9 (9) to P=4 for (4+9) mod 10 = 3.
  • [RES179-3] Run [RES179] BANKER_TABLEAU[2][9]=true to settle 3 vs 1 (P).
SETTLEMENT & SCOREBOARD · RES179

Showdown Settlement & Scoreboard Logging for RES179 (3 vs 1)

[RES179-C0] Comparing [RES179] final totals (6c), Player 3 vs Banker 1 awards [RES179] to Player (P), which pays 1:1 even money on [RES179] Player boxes with zero commission deducted and appends P to BBPPPBBPBB.

[RES179-D7] Side-bet & road check for [RES179] (P4+9->3 vs B2->1, 6c): [RES179] leaves [RES179] Dragon 7 inactive (needs winning 6c Banker 7, got 6c B=1) and leaves [RES179] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES179] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES179, Banker 2 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 2 inspects only Player's fifth card 9 (value 9) via BANKER_TABLEAU[2][9] = true.
MythBecause RES179 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

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