>>4-5 補足
>using a countably infinite fair lottery
>Fair infinite lotteries Sylvia Wenmackers · Leon Horsten

検索 Fair infinite lotteries
をすると 下記がヒットする

　>>8より infinite fair lotteryは、非正則分布 を成す
”非正則分布は確率分布ではない！”

全事象Ωが、無限大に発散していて、確率公理 P(Ω)=1 を満たすことができない
これが、箱入り無数目のトリックです

(参考)”検索 Fair infinite lotteries”より
Fair Infinite Lotteries, Qualitative Probability, and Regularity
PhilSci-Archive
N DiBella 著 · 2021 · 被引用数: 5 — A number of philosophers have thought that fair lotteries over count- ably infinite sets of outcomes are conceptually incoherent by virtue of violating ...
31 ページ

Fair Infinite Lotteries, Qualitative Probability, and Regularity
Cambridge University Press & Assessment
N DiBella 著 · 2022 · 被引用数: 5 — A number of philosophers have thought that fair lotteries over countably infinite sets of out- comes are conceptually incoherent by virtue of ...
21 ページ

(PDF) Vitali Sets and Fair Infinite Lotteries
ResearchGate
2024/01/09 — PDF | There has been recent interest in the theoretical possibility of a uniform probability distribution on the the counting numbers N.