Mathematics

We see the binomial distribution of coin-flipping possibilities, here based on 10,000 actual tosses iterated 100,000 times, also indicating just how tight the peak is, mostly being between 4,850 and 5,150 H: Thus we see the roots of discussions on fluctuations: Note, not coincidentally, sqrt (10^4) = 10^2, or 100. (Compare the bulk of the 10,000 coin toss plot on 100 k repetitions, centred on 5000h, with +/- 100 capturing the main part. Obviously possibilities run from 0 H to 10,000 H but there is a sharply peaked clustering about the “average”.) END