Maybe if you were to wear a blindfold when arranging the dice in the grid you could convince me you have not introduced a bias, but otherwise you have.
ok well i know i can do it wearing a blindfold. the grid might not be 5x10 it might be some other size to make it easier to do but i know i don't need to look at them.
You may think you haven't, you may think you aren't paying attention to the numbers on the dice, you may think you are being totally random, but you aren't, because humans can't be.
for my process, it happens very fast. the entire procedure is only about maybe 15 seconds so there's really no way to be examining each individual number on each die. maybe i see 3 or 4 of them and put them into place manually but that's about it.
And we both know that many people if told to wear a blindfold to arrange the dice would just skip that step, thinking it was a waste of time because they are sure they are being random (just as you are), when they aren't.
i think it's a waste of time but i'm willing to do it anyway once just so i can see if it makes any difference but i know it won't.
because i'm already close to being at that point anyway.
And I would counter that there is no way I personally will be using a process I know nothing about to generate my private keys.
i told you some good news though. you don't need to understand how a one-to-one function works to have a security guarantee from it. that's good news right?
But YMMV.
you think my mileage varies in that regard? that's disappointing to me. because i'm really particular about what kind of tool i would trust. hint: it needs to be something i created or programmed or whatnot. not just gonna go and generate a private key on my android phone and throw some bitcoin in it.
I already have a perfect one - flipping a coin. The outcomes of 256 fair flips are perfectly and provably matched one-to-one with the set of 256 bit numbers.
yes you do have a perfect one-to-one functon there. the problem is it can't work with the type of things mine does. like bingo balls or card decks or anything where you have a set of objects which you are permuting. mine on the other hand is transferrable over to being able to map flips of a coin 256 times into bitcoin private keys. (not that i would be particularly interested in using it for that but i could!)
actually i'm not sure about that last statement. i'll have to think about how i would go about that process...
the point being though that permuting a group of objects is fast while flipping coins is slow. the tech to convert each process's raw entropy into a private key is different. i would say the former is more powerful. but indeed as you have mentioned if you want to guarantee no bias then yours is the gold standard. maybe we can leave it at that.