1) (>>32より) Sergiu Hart氏のPDF www.ma.huji.ac.il/hart/puzzle/choice.pdf P2 Remark. When the number of boxes is finite Player 1 can guarantee a win with probability 1 in game1, and with probability 9/10 in game2, by choosing the xi independently and uniformly on [0, 1] and {0, 1, ・・・, 9}, respectively. ”independently and uniformly”が、独立同分布(IID)を含意
2) つまり、Sergiu Hart氏のPDFのgame2で、これは選択公理を使わない版だが これも、99/100は不成立だ ”with probability 9/10 in game2”つまり 箱の数当て確率は1/10で、通常の確率論通り