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For Geeks & Brainiacs #44- Hat Logic -

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Puzzle Image Three very clever students, Huey, Dewey, and Louie, are shown a box containing three red hats and two white hats. The students are then blindfolded and their teacher randomly chooses a hat and puts one on each student's head. The two remaining hats are placed back in the box and the lid is closed.

The teacher removes the blindfold from Huey. Huey looks at the hats of the two other students and says that he cannot say with certainty the color of his own hat. After hearing Huey, Dewey removes his blindfold and looks at the hats of the other two students and says that he cannot say with certainty the color of his own hat either.

After thinking, and without having his blindfold removed, Louie states that he knows with certainty the color of his hat. Which one or more of the following statements are false? Note that any combination of A, B, C, and/or D may be the correct answer.

A) Louie has enough information to determine the color of his hat without removing his blindfold.
B) Louie's hat can be white.
C) The three students can be wearing hats of the same color.
D) Both remaining hats in the bag can be red.
Do you have a suggestion for this puzzle (e.g. something that should be mentioned/clarified in the question or solution, bug, typo, etc.)?
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