Ok so its more like every combination is equally random but it is easier to check some combinations first while brute-forcing. This makes sense.

What does not (in my brain) is that one random method is superior to another. Assuming my 12 words are all different what math would support such a claim?

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Probably something like what "Metalists" do, so like extrapolating information from other sources about you, and that would maybe to find the pattern or at least reduce the number of words to do the brute force.

I amnjust making assumptions anyway, but I think would be like the differences between playing cards with same cards for more rounds, and just shuffle the same everytime, or using a new package for every play. The last option probably is more random then the first one.. again IMO.

I think Itry to understand how rolling the dice could be inferior to hardware random generator. The only idea I have is that with bad algorithm of rolling you might get some numbers more often than others. So knowing the algorithm (e.g. was published on YouTube) makes it easier to guess the passphrase. Some dice algorithms might be more intuitive too.

So if you prepare your dictionary to prioritise such hacks ….