>>945 補足
(引用開始)
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.
(引用終り)

”the xi independently and uniformly on [0, 1] and {0, 1,..., 9}”
にご注目
xi：確率変数
independently and uniformly on：iid 独立同分布 で、”uniformly”は一様分布ね

”xi：確率変数”！ を、百回音読してください