Because each number is equally as likely as every other number. If you know you're more likely to get certain numbers, or in this case have no chance of getting certain other numbers, it is by definition _less random_.
Ah. My reasoning, with the normal distribution, was that zero was at the left most end of the curve and with a pretty much non-existent chance of appearing.
You are both right, the atom decaying is completely random but the distribution of the decays is still predictable.
If you have a random number generator your are relying on the fact that it is uniformly distributed and thus has no bias towards certain numbers.
Or if it is not uniformly distributed you would want to know the exact distribution so you can correct for it.
If you have an RNG that is treated as putting out uniformly distributed numbers but it is does in fact favor some numbers over others, that would be a defect that can cause problems/be exploited.
As the number of samples approaches infinity, the percentage share of all possible results approaches equality. A uniform random distribution is like the mathematical identity of statistics.
So you think a weighted die is more random than a fair die? A uniform distribution means each outcome has equal probability; it doesn’t mean the outcome is predictable.
So it is not necessarily that it doesn't generate zero, they did not run enough times to increase the probability of actually generating a zero.