Arte! Welcome around my friend!!
I'm so happy you are around.
Let's keep it @ the productive side mate.
Quarrels and meaningless argunents "a la GG" are just a waste of server's bandwidth. IMHO.
How can we make an educated guess without falling into some kind of a fallacy?
We can't. The accepted "reality" is the spin is 100% independent, so "guessing" -no matter how "educated" it may be- simply falls in the ground of the accepted as fallacy, which is: the spins have no relation with each other, and you can't use past spins as a guide for current one (i.e. guessing).
In the accepted framework of roulette being only a 1-spin game, everything which uses even as little as the previous spin to try to guess the next one falls into the fallacy.
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You know Art? I wonder if
binomial distribution or
Bernoulli fall into the fallacy category too, since they involve 2 or more spins.
Or is the math mob selective in what they label a fallacy and what is the reality at convenience?
For instance, there are plenty of accepted things which they expect based on sucessive spins such as expecting random to behave and create a somewhat even distribution under large samples (yep, actually expecting something from a random device... accepted reality).
This open the question. Is "
roulette random" random?
Or is it only the next spin what they want random but the "
roulette random" must comply with everything else as expected,
but only accepted as real for the roulette wheel.
You try to use calculations (i.e. binomial) for succesive spins to lay your bets and you will get laughed at. I.e. No matter the calculation, it is still 1/37 for the next spin. That's the accepted reality, the rest is the fallacy.