2. 外语
  3. If one number is chosen at random from the first 1,000 positive integers, what is the probability that the number chosen is mult

If one number is chosen at random from the first 1,000 positive integers, what is the probability that the number chosen is mult

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问题 If one number is chosen at random from the first 1,000 positive integers, what is the probability that the number chosen is multiple of both 2 and 8?
选项 A、1/125
B、1/8
C、1/2
D、9/16
E、5/8
答案B
解析 若从前1000个正整数中随机选出一个数，问该数是2和8的倍数的概率是多少?
解：本题的正确答案是(B)。在1至1000中，8的倍数有125个，因为2和8的最小公倍数为8，则该数是2和8的倍数的概率为：125/1000=1/8
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