What am I seeing?
Each trial records how many heads appear in a fixed number of independent fair coin flips. Middle outcomes have more possible arrangements than extreme outcomes, so repeated trials tend to concentrate near half the number of flips.
Why isn't it a perfect curve?
The observed counts are a finite sample. The outlined circles show expected counts from the binomial distribution, not a fit to the simulated data. As trials increase, the observed proportions tend to approach those expectations.
Reproducibility & limits
This is an educational simulation using a seeded pseudorandom generator, not a cryptographic source of randomness. A CSV export records the seed, trial count, flip count, observed results, and expected results. No data is sent to a server.