Ulam Solitaire Monte Carlo Lab

STANISŁAW ULAM 1946
Demonstrating how random sampling unlocks complex card game probabilities where direct combinatorics fails.

Visual Canfield Table

Game ID: #1001 | Seed: 42
Reserve Left 13
Foundations 0 / 52
Stock / Waste 34 / 0
Tableau Moves 0

Monte Carlo Convergence Engine

N = 1,000
Est. Win Rate (p) 0.1420 142 / 1000
Std Error (SE) 0.0110 √[p(1-p)/N]
95% Confidence Band [0.1205, 0.1635] ± 1.96 × SE
Verified Simulation Artifact Status
Sample Count (N): 1000
Total Wins: 142
Converged Win Rate: 0.1420
Standard Error: 0.0110
SE Trend: decreasing_with_sqrt_N
Exportable Rows: 1001
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