返回题库

抽袜子保证同色一双

Matching Socks

专题
Brainteaser / 脑筋急转弯
难度
L4

题目详情

抽屉里有 2 只红袜子、20 只黄袜子、31 只蓝袜子。

不看颜色随机抽取。问:至少抽多少只才能保证一定抽到同色的一双?

You have 2 red socks, 20 yellow socks, and 31 blue socks in a drawer. What is the minimum number of socks you must pull out (without looking) to guarantee a pair of the same color?

解析

需要 4 只。

最坏情况前 3 只分别是红、黄、蓝三种不同颜色,第 4 只必然与其中某一种同色。


Original Explanation

You need 4 socks. In the worst case, you get 3 different colors with the first 3 socks, so the 4th sock must match one of those colors.