@4714
"I explained this in detail many times and particularly in my last comment." ++ I also explained in detail many times that if there is at most 1 error then interdependence of errors plays no role.
"poisson distribution wont accurately predict probability" ++ It does not even have to be accurately: approximately is good enough. If it is 99.7% or 99.4% or 98.5% sure that there are 127 games with 0 error and 9 with 1 error does not matter.
"We don't know exactly how inaccurate it is because we dont have any data."
++ We have data. We have a dozen ICCF WC finals with 136 games each.
"we don't have data available to predict the actual error distribution" ++ We have data.
"the distribution could be anything" ++ Not anything, it must be consistent with data.
"Chess is a win for white (and no, I dont actually believe so but its not ruled out)"
++ If you do not believe so, then why do you propose so. OK let us assume chess is a white win.
"120 games with 1 error" ++ 120 draws with 1 error (?) from white win to draw
9 games with 2 errors ++ 6 white wins with 2 errors (?), (?) that undo each other and 3 black wins with a white blunder (??)
7 games with 3 errors ++ 7 more draws.
"How do you know that? A Poisson distribution makes sense as in similar problems."
Because for poisson distribution to make sense, probability of error should stay similar through out the game(s) independently of previous events. This is not the case, because an error will determine the probability for the next error to occur. I explained this in detail many times and particularly in my last comment. In this scenario poisson distribution wont accurately predict probability. We don't know exactly how inaccurate it is because we dont have any data.
"Please show an alternative distribution or errors to explain"
You want me to make a distribution that is basically random because we don't have data available to predict the actual error distribution. Even if we had data it would still be a prediction and the distribution could be anything.
Here you go:
Chess is a win for white (and no, I dont actually believe so but its not ruled out)
120 games with 1 error
9 games with 2 errors
7 games with 3 errors