>It has the same odds as any other specific configuration of randomly assigned dots
Which doesn't change anything in practice, since it having "the same odds as any other specific configuration" ignores the fact that more scattered configurations are still far more numerous than it (or even from ones with more visual order in general) taken all together.
>The overly active human pattern matching behavior is the only reason it would be treated as special.
Nope, it's also the fact that it is ONE configuration, whereas all the rest are much much larger number. That's enough to make this specific configuration ultra rare in comparison (since we don't compare it to each other but to all others put together).
> >It has the same odds as any other specific configuration of randomly assigned dots
> Nope, it's also the fact that it is ONE configuration, whereas all the rest are much much larger number.
That is the human pattern overactive pattern matching at play. I compared the single configuration of all dots on one location to any other specific configuration. You are not comparing to to _every other configuration_ because they are not the same
You are assigning specific importance to a single valid set of randomly selected data, because it seems significant to our brains.
If I asked you to give me an array of 1 million items containing an x, and y coordinate, what are the odds that any single specific set of items are returned?
Based on your answer to that, what are the odds for a set being return with all the same exact x and y coordinates, and a set with different x, and y coordinates?
if you answer anything other than it being the same chance, then you either don't think the selection mechanism is random, or you are falling to the standard fallacies around randomness