I found these definitions of "Random":
: a haphazard course
: without definite aim, direction, rule, or method.
1. Having no specific pattern, purpose, or objective.
2. Mathematics & Statistics. Of or relating to a type of circumstance or event that is described by a probability distribution.
3. Of or relating to an event in which all outcomes are equally likely.
Haphazard, without a regular pattern, with an equal chance of any event or location occurring.
Having no particular pattern, purpose, organization, or structure.
Let us start with "Unpredictable", there has been people here at L.P that have predicted just one pick 3 number for a particular game and draw and that pick 3 number has come out for that particular game and draw, they are not able to do this all of the time, but they have done it once or a few times.
So if something was predicted at least once by somebody, then it might not be "Unpredictable", but a better test of possible predictability, would be to do 1000 predictions as there are 1000 straight pick 3 numbers and then see how many straight wins a person gets while predicting with only one pick 3 number per each prediction, if a person wins 2 times or more often out of 1000 predictions then perhaps either the game or random or both are not unpredictable and so unpredictable might not be a good definition of random.
without definite direction.
Having no specific pattern
without a regular pattern
Having no particular pattern or structure
On some of my past posts somewhere here at LP. I have shown some samples (sections) of true past draws that do show specific particular regular pattern(s).
So either the pick 3 lottery draws as given by the states are not random or such accepted definitions of random are wrong.
I myself would say that perhaps there is no "Random", but that there is "PseudoRandom".
I would also say that often the past draws (winning numbers) don't appear to even be "Good" PseudoRandom.
Not always, but often enough they appear to have biases (Patterns) of some kind(s).
a probability distribution.
Of or relating to an event in which all outcomes are equally likely.
with an equal chance of any event occurring.
A true or good probability distribution, that is a random or pseudorandom probability distribution would make past draws that would have a more uniform or even distribution of all the possible patterns (Including the digits and the numbers) in accord to the particular make-up of a game, this might not mean that such past draws would not show patterns (Maybe?), only that the patterns would not be of the same kind as those of an "UnRandom" (not random) game.
Study very long sections of past draws from many states' pick 3 games and make-up your own mind about this, after all, what matters is what you yourself think.
A late addition to the post:
I don't see mechanical draws as being any more random than RNG draws nor RNG draws being any more random than mechanical draws, except as when faulty programming has made RNG draws less random than mechanical draws.