Someone argues: "I generated values from my generator and put them in a histogram of bins
PHYSICS · Subjective · Fermi University Physics · Computational Physics · Monte Carlo and lattice simulation of physical systems · Monte Carlo and lattice simulation of physical systems
Computational Physics, Ch Drawing numbers: random walks and Monte Carlo
Problem
Someone argues: "I generated 10000 values from my generator and put them in a histogram of 100 bins. Every bin held very close to 100 counts, within the count scatter expected from chance. A flat histogram like this means the numbers are genuinely random, so I can safely use this generator to fill a three-dimensional Monte Carlo grid." Find the error in this reasoning, and describe the further test that should be applied before trusting the generator for that purpose.