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NON-NATURAL MATCHUP [M3V2] · 100-BRANCH MATRIX

Player Starts 3 vs. Banker Starts 2 (M3V2): 100-Branch Resolution Matrix

When Player opens at 3 (9+4) and Banker opens at 2 (10+2) in matchup M3V2, neither side holds a Natural. Evaluating all 100 (fifth-card 0..9 × sixth-card 0..9) branches through resolveHand() yields 45 Banker wins, 45 Player wins, and 10 ties (0 four-card, 0 five-card, and 100 six-card branches).

Matchup M3V2 Start
P=3 vs B=2
M3V2 100-Branch Split
45B/45P/10T
M3V2 4c/5c/6c Branches
0/0/100
M3V2 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 B P P P B B B B P P B B P B B B P P P B B P B P P B B B B P P B
Big Eye Boy = = = = = ≠ ≠ = ≠ = = ≠ ≠ = ≠ = = = = ≠ ≠ = ≠ ≠ = ≠ = ≠ = ≠
Small Road = = ≠ ≠ = ≠ = ≠ ≠ = ≠ ≠ ≠ = ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = =
Cockroach Pig = ≠ = ≠ ≠ = ≠ ≠ = ≠ ≠ ≠ ≠ ≠ ≠ = = ≠ = = ≠ ≠ ≠

Scoreboard trajectory paired with the 100-branch matchup matrix M3V2 (Player 3 vs Banker 2).

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 3 beads. Same depth → red (=).

  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 3 beads. Same depth → red (=).

Common table reading watchout: Comparing the wrong columns. Compare Column 2, the one that just finished, with Column 1.

Small Road Mark #3

This bead is at Row 4. Column 1 stopped at Row 3, one row above → blue (≠).

  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 3, one row above → blue (≠).

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

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

  1. Column 5 goes down to Row 2, so use Rule 2: look 3 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.

Verified Reference Data

Key Facts & Table Specifications

Matchup M3V2 Initial Deal
Player 9+4=3 vs Banker 10+2=2

Non-natural 4-card opening verified via playerShouldDraw(3)=true.

M3V2 100-Branch Outcome Split
45 Banker / 45 Player / 10 Tie

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

M3V2 Card-Count Distribution
0 (4-card) / 0 (5-card) / 100 (6-card)

Branch counts by total cards dealt in matchup M3V2.

M3V2 Player Action Rule
Draws 5th Card on 3

Determines whether Banker 2 uses BANKER_TABLEAU[2][p3] or the null-stand rule.

M3V2 Banker Action Rule
Draws on 10/10 5th Cards

Exact Banker response profile in matchup M3V2.

EXACT 100-BRANCH ENUMERATION · M3V2

How Matchup M3V2 (Player 3 vs. Banker 2) Resolves Across Fifth & Sixth Cards

In matchup [M3V2], Player starts with 9+4=3 against Banker 10+2=2. Because P=3 is in 0–5, Player always draws the fifth card (0..9), shifting Player to 3..2 and prompting Banker 2 to consult BANKER_TABLEAU[2].

Summing all 100 (fifth 0..9 × sixth 0..9) branches for [M3V2] produces 45 Banker wins, 45 Player wins, and 10 ties across 0 four-card, 0 five-card, and 100 six-card outcomes.

Matchup M3V2 100-Branch Breakdown by Fifth Card Value (0–9)
M3V2 5th CardM3V2 Player PathM3V2 Banker PathM3V2 10-Branch B/P/TM3V2 Hand Size
[M3V2:5th=0] 10(0)[M3V2:P3] P:3+0->3[M3V2:B3] B=2 draws 6th[M3V2:Split] 6B/3P/1T[M3V2:Size] 6 cards
[M3V2:5th=1] A(1)[M3V2:P3] P:3+1->4[M3V2:B3] B=2 draws 6th[M3V2:Split] 5B/4P/1T[M3V2:Size] 6 cards
[M3V2:5th=2] 2(2)[M3V2:P3] P:3+2->5[M3V2:B3] B=2 draws 6th[M3V2:Split] 4B/5P/1T[M3V2:Size] 6 cards
[M3V2:5th=3] 3(3)[M3V2:P3] P:3+3->6[M3V2:B3] B=2 draws 6th[M3V2:Split] 3B/6P/1T[M3V2:Size] 6 cards
[M3V2:5th=4] 4(4)[M3V2:P3] P:3+4->7[M3V2:B3] B=2 draws 6th[M3V2:Split] 2B/7P/1T[M3V2:Size] 6 cards
[M3V2:5th=5] 5(5)[M3V2:P3] P:3+5->8[M3V2:B3] B=2 draws 6th[M3V2:Split] 1B/8P/1T[M3V2:Size] 6 cards
[M3V2:5th=6] 6(6)[M3V2:P3] P:3+6->9[M3V2:B3] B=2 draws 6th[M3V2:Split] 0B/9P/1T[M3V2:Size] 6 cards
[M3V2:5th=7] 7(7)[M3V2:P3] P:3+7->0[M3V2:B3] B=2 draws 6th[M3V2:Split] 9B/0P/1T[M3V2:Size] 6 cards
[M3V2:5th=8] 8(8)[M3V2:P3] P:3+8->1[M3V2:B3] B=2 draws 6th[M3V2:Split] 8B/1P/1T[M3V2:Size] 6 cards
[M3V2:5th=9] 9(9)[M3V2:P3] P:3+9->2[M3V2:B3] B=2 draws 6th[M3V2:Split] 7B/2P/1T[M3V2:Size] 6 cards
  • [M3V2-Rule1] Verify non-natural opening: P(9+4)=3 vs B(10+2)=2.
  • [M3V2-Rule2] Apply Player 0–5 draw rule first, then Banker 2 response.
  • [M3V2-Rule3] Audit 45B/45P/10T matrix total and record onto shoe BBBPPPBBB.
Table Reality Check

Myth vs. Truth

MythWhen Player starts with 3 against Banker 2 (M3V2), the higher two-card start always wins most branches.
TruthIn [M3V2], third-card draw rules shift the 100-branch total to 45B / 45P / 10T.
MythA 6-card finish in M3V2 forces a Blue break mark on Small Road.
TruthSmall Road compares Big Road column depths two columns back; card count in M3V2 never affects derived road color.
6 modules · 36 lessons · $25/month · Module 1 (10 lessons) free

Read Every Derived Road at Table Speed

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  • Structured step-by-step track across Foundations, Big Eye Boy, Small Road, and Cockroach Pig
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