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If one number is chosen at random from the first 1,000 positive integers, what i
If one number is chosen at random from the first 1,000 positive integers, what i
游客
2025-02-23
8
管理
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 a multiple of both 12 and 8?
选项
A、1/25
B、41/1000
C、3/250
D、9/16
E、2/125
答案
B
解析
从前1000个正整数中随机挑选1个数字,则一共有1000种可能的结果。现在需要计算1到1000中有几个12和8的公倍数,由于12和8的最小公倍数是24,所以求24的倍数的个数即可。而1000/24=41……16,共有41个24的倍数。因此概率为41/1000,答案为B选项。
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