AMC 8 2007 Problem 24

AMC8 2007 年第 24 题

概率★★★★☆

A bag contains four pieces of paper, each labeled with one of the digits "1, 2, 3" or "4", with no repeats. Three of these pieces are drawn, one at a time without replacement, to construct a three-digit number. What is the probability that the three-digit number is a multiple of 3?

一个包中有 4 张分别标有数字 1，2，3，4 的纸片，每个数字都不重复。从中不放回的选择 3 张纸片，构成一个三位数。则这个三位数是 3 的倍数的概率是多少？

A. $\displaystyle \frac{1}{4}$
B. $\displaystyle \frac{1}{3}$
C. $\displaystyle \frac{1}{2}$
D. $\displaystyle \frac{2}{3}$
E. $\displaystyle \frac{3}{4}$

正确答案 · Correct Answer

C

解析 · Solution

解析整理中

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