Comment by version_five

I think I understand, but I also saw a comment above that specifically says (having done 3 iterations)

  The resulting distribution is not equal to random()^3, because e.g. the probability that all 3 random calls give you a number <0.5 is only 0.125.

https://news.ycombinator.com/item?id=35954931

Any thoughts? Am I mixing up two unrelated things?