>自分で好きなの読めよ
じゃ
>https://math.stackexchange.com/questions/3886561/why-does-the-sample-space-of-a-random-variable-not-matter
ね

the exact structure of Ω (ie, the elements of Ω) doesn't matter
とは言ってるが
Ω doesn't matter
とは言ってない

そして
the exact structure of Ω (ie, the elements of Ω) doesn't matter
の理由は極めて自明

任意でよいなんてどこにも書かれてない　語るに落ちる基地外駄々っ子ｗ

I think the author is trying to imply that the exact structure of Ω (ie, the elements of Ω) doesn't matter since we can relabel the elements with some index set of cardinality |Ω|, so if Ω={"head","tails"}, we can just relabel Ω as {0,1} and talk about P(Ω=k) for k=0,1. What really matters is the probability measure on the sample space Ω
– Prasun Biswas Oct 29, 2020 at 18:59