Problem

Matching socks. Consider the following question posed to Marilyn vos Savant in her weekly...

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.]

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