Skip to main content
Baccarat Smart
  1. Home
  2. Third-Card Rules Chart
  3. Player 1 vs Banker 3
NON-NATURAL MATCHUP [M1V3] · 100-BRANCH MATRIX

Player Starts 1 vs. Banker Starts 3 (M1V3): 100-Branch Resolution Matrix

When Player opens at 1 (10+A) and Banker opens at 3 (9+4) in matchup M1V3, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 45 Banker wins, 46 Player wins, and 9 ties (0 four-card, 10 five-card, and 90 six-card branches).

Matchup M1V3 Start
P=1 vs B=3
M1V3 100-Branch Split
45B/46P/9T
M1V3 4c/5c/6c Branches
0/10/90
M1V3 Step 2 Action
P Draws
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M1V3 (Player 1 vs Banker 3).

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 4. Column 1 stopped at Row 2, more than one row above → red (=).

  1. Column 2 goes down to Row 4, so use Rule 2: look 1 column back, at Column 1.
  2. Column 1 stopped at Row 2, more than one row above → red (=).

Common table reading watchout: Thinking "no bead at this row" means blue. It is blue only when Column 1 stopped exactly one row above this bead.

Small Road Mark #3

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

  1. Column 4 goes down to Row 2, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 4 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 1 bead. Column 2 has 4 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

Matchup M1V3 Initial Deal
Player 10+A=1 vs Banker 9+4=3

Non-natural 4-card opening verified via playerShouldDraw(1)=true.

M1V3 100-Branch Outcome Split
45 Banker / 46 Player / 9 Tie

Exact enumeration across all 100 (fifthCard 0..9 × sixthCard 0..9) value pairs.

M1V3 Card-Count Distribution
0 (4-card) / 10 (5-card) / 90 (6-card)

Branch counts by total cards dealt in matchup M1V3.

M1V3 Player Action Rule
Draws 5th Card on 1

Determines whether Banker 3 uses BANKER_TABLEAU[3][p3] or the null-stand rule.

M1V3 Banker Action Rule
Draws on 9/10 5th Cards

Exact Banker response profile in matchup M1V3.

EXACT 100-BRANCH ENUMERATION · M1V3

How Matchup M1V3 (Player 1 vs. Banker 3) Resolves Across Fifth & Sixth Cards

In matchup [M1V3], Player starts with 10+A=1 against Banker 9+4=3. Because P=1 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 1..0 and prompting Banker 3 to consult BANKER_TABLEAU[3].

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M1V3] produces 45 Banker wins, 46 Player wins, and 9 ties across 0 four-card, 10 five-card, and 90 six-card outcomes.

Matchup M1V3 100-Branch Breakdown by Fifth Card Value (0–9)
M1V3 5th CardM1V3 Player PathM1V3 Banker PathM1V3 10-Branch B/P/TM1V3 Hand Size
[M1V3:5th=0] 10(0)[M1V3:P3] P:1+0->1[M1V3:B3] B=3 draws 6th[M1V3:Split] 8B/1P/1T[M1V3:Size] 6 cards
[M1V3:5th=1] A(1)[M1V3:P3] P:1+1->2[M1V3:B3] B=3 draws 6th[M1V3:Split] 7B/2P/1T[M1V3:Size] 6 cards
[M1V3:5th=2] 2(2)[M1V3:P3] P:1+2->3[M1V3:B3] B=3 draws 6th[M1V3:Split] 6B/3P/1T[M1V3:Size] 6 cards
[M1V3:5th=3] 3(3)[M1V3:P3] P:1+3->4[M1V3:B3] B=3 draws 6th[M1V3:Split] 5B/4P/1T[M1V3:Size] 6 cards
[M1V3:5th=4] 4(4)[M1V3:P3] P:1+4->5[M1V3:B3] B=3 draws 6th[M1V3:Split] 4B/5P/1T[M1V3:Size] 6 cards
[M1V3:5th=5] 5(5)[M1V3:P3] P:1+5->6[M1V3:B3] B=3 draws 6th[M1V3:Split] 3B/6P/1T[M1V3:Size] 6 cards
[M1V3:5th=6] 6(6)[M1V3:P3] P:1+6->7[M1V3:B3] B=3 draws 6th[M1V3:Split] 2B/7P/1T[M1V3:Size] 6 cards
[M1V3:5th=7] 7(7)[M1V3:P3] P:1+7->8[M1V3:B3] B=3 draws 6th[M1V3:Split] 1B/8P/1T[M1V3:Size] 6 cards
[M1V3:5th=8] 8(8)[M1V3:P3] P:1+8->9[M1V3:BPat] B=3 stands[M1V3:Split] 0B/10P/0T[M1V3:Size] 5 cards
[M1V3:5th=9] 9(9)[M1V3:P3] P:1+9->0[M1V3:B3] B=3 draws 6th[M1V3:Split] 9B/0P/1T[M1V3:Size] 6 cards
  • [M1V3-Rule1] Verify non-natural opening: P(10+A)=1 vs B(9+4)=3.
  • [M1V3-Rule2] Apply Player 0–5 draw rule first, then Banker 3 response.
  • [M1V3-Rule3] Audit 45B/46P/9T matrix total and record onto shoe PPBBBBPPB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 1 against Banker 3 (M1V3), the higher two-card start always wins most branches.
TruthIn [M1V3], third-card draw rules shift the 100-branch total to 45B / 46P / 9T.
MythA 6-card finish in M1V3 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M1V3 never affects derived road color.
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