The issue the anecdote is reflecting is that across the data of 50 naive made-up coin tosses there are too many alternating sequences and probably zero HHHHHH.
Yes, it is possible that any two 50-sequence patterns are actual rng. But some of them are much more likely, and we can tell.
Yeah if you define randomness as subjective "stuff humans can't predict" then sure...
Are you saying we should ignore the distribution we observe from humans and predict them as uniform anyway?
> Samples from an unbiased RNG
you mean a PRNG.
> Are you saying we should ignore the distribution we observe from humans and predict them as uniform anyway?
I'm saying the exercise in general is a little pointless, but that's fine.