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NON-NATURAL MATCHUP [M0V3] · 100-BRANCH MATRIX

Player Starts 0 vs. Banker Starts 3 (M0V3): 100-Branch Resolution Matrix

When Player opens at 0 (6+4) and Banker opens at 3 (10+3) in matchup M0V3, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 44 Banker wins, 47 Player wins, and 9 ties (0 four-card, 10 five-card, and 90 six-card branches).

Matchup M0V3 Start
P=0 vs B=3
M0V3 100-Branch Split
44B/47P/9T
M0V3 4c/5c/6c Branches
0/10/90
M0V3 Step 2 Action
P Draws
Engine-Verified Scoreboard · 34 Hands

Read the Board at Table Speed

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

Scoreboard trajectory paired with the 100-branch matchup matrix M0V3 (Player 0 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 3. Column 2 stopped at Row 1, more than one row above → red (=).

  1. Column 3 goes down to Row 3, so use Rule 2: look 1 column back, at Column 2.
  2. Column 2 stopped at Row 1, more than one row above → 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

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

  1. Column 3 goes down to Row 4, so use Rule 2: look 2 columns 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.

Cockroach Pig Mark #3

Column 5 has 1 bead. Column 2 has 1 bead. Same depth → red (=).

  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 1 bead. Same depth → red (=).

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 M0V3 Initial Deal
Player 6+4=0 vs Banker 10+3=3

Non-natural 4-card opening verified via playerShouldDraw(0)=true.

M0V3 100-Branch Outcome Split
44 Banker / 47 Player / 9 Tie

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

M0V3 Card-Count Distribution
0 (4-card) / 10 (5-card) / 90 (6-card)

Branch counts by total cards dealt in matchup M0V3.

M0V3 Player Action Rule
Draws 5th Card on 0

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

M0V3 Banker Action Rule
Draws on 9/10 5th Cards

Exact Banker response profile in matchup M0V3.

EXACT 100-BRANCH ENUMERATION · M0V3

How Matchup M0V3 (Player 0 vs. Banker 3) Resolves Across Fifth & Sixth Cards

In matchup [M0V3], Player starts with 6+4=0 against Banker 10+3=3. Because P=0 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 0..9 and prompting Banker 3 to consult BANKER_TABLEAU[3].

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M0V3] produces 44 Banker wins, 47 Player wins, and 9 ties across 0 four-card, 10 five-card, and 90 six-card outcomes.

Matchup M0V3 100-Branch Breakdown by Fifth Card Value (0–9)
M0V3 5th CardM0V3 Player PathM0V3 Banker PathM0V3 10-Branch B/P/TM0V3 Hand Size
[M0V3:5th=0] 10(0)[M0V3:P3] P:0+0->0[M0V3:B3] B=3 draws 6th[M0V3:Split] 9B/0P/1T[M0V3:Size] 6 cards
[M0V3:5th=1] A(1)[M0V3:P3] P:0+1->1[M0V3:B3] B=3 draws 6th[M0V3:Split] 8B/1P/1T[M0V3:Size] 6 cards
[M0V3:5th=2] 2(2)[M0V3:P3] P:0+2->2[M0V3:B3] B=3 draws 6th[M0V3:Split] 7B/2P/1T[M0V3:Size] 6 cards
[M0V3:5th=3] 3(3)[M0V3:P3] P:0+3->3[M0V3:B3] B=3 draws 6th[M0V3:Split] 6B/3P/1T[M0V3:Size] 6 cards
[M0V3:5th=4] 4(4)[M0V3:P3] P:0+4->4[M0V3:B3] B=3 draws 6th[M0V3:Split] 5B/4P/1T[M0V3:Size] 6 cards
[M0V3:5th=5] 5(5)[M0V3:P3] P:0+5->5[M0V3:B3] B=3 draws 6th[M0V3:Split] 4B/5P/1T[M0V3:Size] 6 cards
[M0V3:5th=6] 6(6)[M0V3:P3] P:0+6->6[M0V3:B3] B=3 draws 6th[M0V3:Split] 3B/6P/1T[M0V3:Size] 6 cards
[M0V3:5th=7] 7(7)[M0V3:P3] P:0+7->7[M0V3:B3] B=3 draws 6th[M0V3:Split] 2B/7P/1T[M0V3:Size] 6 cards
[M0V3:5th=8] 8(8)[M0V3:P3] P:0+8->8[M0V3:BPat] B=3 stands[M0V3:Split] 0B/10P/0T[M0V3:Size] 5 cards
[M0V3:5th=9] 9(9)[M0V3:P3] P:0+9->9[M0V3:B3] B=3 draws 6th[M0V3:Split] 0B/9P/1T[M0V3:Size] 6 cards
  • [M0V3-Rule1] Verify non-natural opening: P(6+4)=0 vs B(10+3)=3.
  • [M0V3-Rule2] Apply Player 0–5 draw rule first, then Banker 3 response.
  • [M0V3-Rule3] Audit 44B/47P/9T matrix total and record onto shoe BBPBBBBPP.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 0 against Banker 3 (M0V3), the higher two-card start always wins most branches.
TruthIn [M0V3], third-card draw rules shift the 100-branch total to 44B / 47P / 9T.
MythA 6-card finish in M0V3 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M0V3 never affects derived road color.
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Read Every Derived Road at Table Speed

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