Solution:

Analysis: Key words: black and white two pairs, same number, one, random, two, paired.

Let's write these four black and white socks as A, A, B and B respectively.

According to the meaning of the question, there are 4× 3/2 = 6 methods for taking out socks, in no particular order.

Take out a pair of socks. There are two ways to take them.

The probability that socks are in pairs is 2/6= 1/3.