Matching socks. Consider the following question posed to Marilyn vos Savant in her weekly newspaper column, “Ask Marilyn”:

I have two pairs of argyle socks, and they look nearly identical—

one navy blue and the other black. [When doing the laundry] my wife matches the socks incorrectly much more often than she does correctly…. If all four socks are in front of her, it seems to me that her chances are 50% for a wrong match and 50% for a right match. What do you think?

Source: Parade Magazine, Feb. 27, 1994.

Use your knowledge of probability to answer this question.

[Hint: List the sample points in the experiment.]