Re: Are they random or not?
'Either way, randomness by its nature decrees that a previously picked number has the same equal chance of being picked 100 times in a row as 100 different ones being picked once'
Not quite.
More like this:
If we're generating random numbers in the range 1 - n, the chance of the first being a specific number is 1/n, but of being a 'different' number is 1, since we haven't picked any yet.
For the second number, the chance of it being the specific number is 1/n again, but of it being different from the first is (n-1)/n.
And so on (1/n;n-2/n)...
...which doesn't result in an equal chance.
Maybe that should read:
'If a series of numbers fits the definition of random, then a previously picked number has the same chance of being picked 100 times in a row as 100 specific different ones being picked once'