Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rule Chart
  3. Resolution #19
FINAL TOTAL RESOLUTION [RES019] · 6-CARD PROOF

Player 0 + 3 (3) vs. Banker 0 (Draws 7 (7)): 6-Card Resolution #19

In walkthrough RES019, Player opens with 10+K (0) and draws fifth-card 3 (3) for a modulo-10 total of 3, while Banker opens with 10+K (0) and draws sixth-card 7 (7) for 7 (6-card B outcome).

RES019 Player Path
P:0->3
RES019 Banker Path
B:0->7
RES019 Deal Length
6 Cards
RES019 Showdown
B (3v7)
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 RES019 (P0+3->3 vs B0->7).

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

RES019 Four-Card Opening Deal
Player 10+K=0 vs Banker 10+K=0

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

RES019 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.

RES019 Banker Tableau Lookup
BANKER_TABLEAU[0][3] = true

Banker 0 draws sixth-card 7 (7) so (0+7) mod 10 = 7.

RES019 Card Count & Winner
6 Cards -> B (3 vs 7)

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

RES019 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 · RES019

Step-by-Step Card Arithmetic for RES019: P(10+K)+3 vs B(10+K)

Under audit [RES019], Player opens on two-card 0 (10+K) opposite Banker 0 (10+K), triggering a mandatory fifth-card pull of 3 (value 3) that settles via mod-10 arithmetic from 3 into 3.

[RES019-B] Six-card branch [RES019] activates as 3 (3) hits Banker 0's 0-point unconditional draw tier; drawing 7 (7) sends 0+7=7 to 7.

Complete 6-Card Resolution Trace for RES019
RES019 StageRES019 CardsRES019 Modulo MathRES019 Status
[RES019:Init]P(10+K)=0 vs B(10+K)=0playerShouldDraw(0)=true4-Card Deal
[RES019:5th]Player +3 (3)(0+3) mod 10 = 35th Card Sideways
[RES019:6th]Banker +7 (7)(0+7) mod 10 = 76-Card Final
[RES019:Settle]P=3 vs B=7Winner: BBig Road +B
  • [RES019-1] Confirm [RES019] opening P=0 (10+K) and B=0 (10+K) lack Natural 8/9.
  • [RES019-2] Add [RES019] fifth-card 3 (3) to P=0 for (0+3) mod 10 = 3.
  • [RES019-3] Run [RES019] BANKER_TABLEAU[0][3]=true to settle 3 vs 7 (B).
SETTLEMENT & SCOREBOARD · RES019

Showdown Settlement & Scoreboard Logging for RES019 (3 vs 7)

[RES019-C3] Comparing [RES019] final totals (6c), Player 3 vs Banker 7 awards [RES019] to Banker (B), which pays 0.95:1 on 5%-commission [RES019] layouts (or 0.5:1 on 6 at No-Commission [RES019] tables) and appends B to BBPPPBBPBB.

[RES019-D10] Side-bet & road check for [RES019] (P0+3->3 vs B0->7, 6c): [RES019] triggers [RES019] Dragon 7 (winning 3-card Banker 7, 40:1) and leaves [RES019] Panda 8 inactive (needs winning 3c Player 8, got P=3); on [RES019] derived roads, Red (=) marks repeating Big Road depth and Blue (≠) marks breaking depth.

Table Reality Check

Myth vs. Truth

MythIn RES019, Banker 0 evaluates Player's three-card total (3) before deciding whether to draw.
TruthBanker 0 inspects only Player's fifth card 3 (value 3) via BANKER_TABLEAU[0][3] = true.
MythBecause RES019 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