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  3. 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  29
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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