The Sock Drawer
Problem
Question
A drawer contains red socks and black socks. When two socks are drawn at random, the probability that both are red is \(\frac{1}{2}\)
(a) How small can the number of socks in the drawer be?
(b) How small if the number of black socks is even?
一个抽屉里装有红袜子和黑袜子。 当随机抽取两只袜子时，两只袜子都是红色的概率为\(\frac{1}{2}\)
(a) 抽屉里的袜子数量最少可以是多少？
(b) 如果黑袜子的数量是偶数，最少可以是多少？