# There are three sock drawers in a bureau. The drawers are labeled White, Black, and Mixed, but every drawer is labeled
incorrectly. One drawer has all white socks, one all black socks, and one mixed white and black socks. You are permitted to close your eyes and pick one sock from one drawer. How can you correctly label each drawer?

Show Answer

*Hint:* What does the label say?

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Absolutely essential is to realize the significance of the clue that
every drawer is labeled incorrectly. Once that’s understood, the optimum
strategy is to pick a sock from the drawer (incorrectly) labeled Mixed.
Inspect the sock. If it is a white sock, then the drawer must be full of
white socks. Why? Because it can’t be the Mixed drawer (for then it
would be correctly labeled in the first place). The labels on the two
remaining drawers are simply exchanged. If it is a black sock, then the
drawer gets the Black label. The labels on the two remaining drawers are
simply exchanged. The powerful clue that every drawer is incorrectly
labeled allows the problem to be solved with just one inspection.

*Solution: *Select from the Mixed sock drawer.

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