What most people intuit as random is some sort of noise function that is generally dispersed and doesn’t trigger the pattern matching part of their brain
It won't happen though. 0.00000000% chance it happens even once in a trillion attempts.
> What most people intuit as random is some sort of noise function that is generally dispersed and doesn’t trigger the pattern matching part of their brain
Yes, people intuit the texture of random wrong in a situation where most buckets are empty. But when you have orders of magnitude more events than buckets, that effect doesn't apply. You get pretty even results that people expect.
It has the same odds as any other specific configuration of randomly assigned dots. The overly active human pattern matching behavior is the only reason it would be treated as special.
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).