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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
2025-02-24
15
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 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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