>>486
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さらに、”if i is chosen uniformly independently”とあるところにご注目
これ、https://mathoverflow.net/questions/151286/probabilities-in-a-riddle-involving-axiom-of-choice
Pruss氏の12回答本文の
”Let's go back to the riddle. Suppose u^→ is chosen randomly. The most natural option is that it is a nontrivial i.i.d. sequence (uk), independent of the random index i which is uniformly distributed over [100]={0,...,99}. In general, Mj will be nonmeasurable (one can prove this in at least some cases). We likewise have no reason to think that M is measurable. But without measurability, we can't make sense of talk of the probability that the guess will be correct.”
を再度強調している部分ですよ
”uniformly”の部分は、明らかに ”independent of the random index i which is uniformly distributed over [100]={0,...,99}”のところを、短く言い直しています
そして、本文にあるように、もし、” M is measurable”なら、問題の戦略は正しいが、
実際は”But without measurability, we can't make sense of talk of the probability that the guess will be correct.”ってことです
問題の”riddle”は、一見は、一様分布 {0,...,99}とか{0,...,n}に見えるけれども、実際はそうではない。だから”riddle”（ナゾナゾ）ってことです

（参考）
https://en.wikipedia.org/wiki/Uniform_distribution
Uniform distribution
Uniform distribution may refer to:
Continuous uniform distribution
Discrete uniform distribution

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