2016 AMC 8 第 13 题
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所有题目均经美国数学协会(MAA)官方合法授权使用。
13.
从集合 中随机选出两个不同的数并相乘。乘积为 的概率是多少?
Two different numbers are randomly selected from the set and multiplied together. What is the probability that the product is
小提示:
乘积为 当且仅当选出的数中有一个是
A product is exactly when one of the selected numbers is .
大提示:
在所有选两个不同数的方式中,统计包含 的选择
Count selections containing out of all ways to choose two different numbers.
视频讲解:
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文字解答:
从六个数中选两个不同的数共有 种方法。乘积为 当且仅当选出的一个数是 ,另一个数有 种选择。因此所求概率为 。
所以正确答案是 D。
There are ways to select two different numbers. A product is exactly when one selected number is , and there are choices for the other number. Thus the probability is
Thus, D is the correct answer.
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