英语翻译Real numbers x,y ,and z are chosen independently and at

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英语翻译
Real numbers x,y ,and z are chosen independently and at random from the interval [0,n]for some positive integer .The probability that no two of x,y ,andz are within 1 unit of each other is greater than1/2 .What is the smallest possible value of

【题目】实数x,y和z是相互独立并且随机地从[0,n]之间选取出来的,n是正整数.x,y和z中间任意两个之差超过1的概率大于1/2,满足此条件的最小的n是多少?
【答案】11

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