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The second student would also open there eyes and see two blue hats, she would know that Arturo had decided to pass but he could have seen a red or blue hat and passed because Carlettas hat was blue so she would have also passed. Carletta would have known that her hat was Blue since she heard both of them pass and if her hat was red then Belicia would have known what color her hat was. This is a possible combination.
Blue-Blue-Red: Arturo would have seen a red and a blue hat and would not have known what color his hat was because there were blue and red hats left he would have passed. Belicia would have also seen a blue and a red hat but she would know that her hat was blue because if Arturo had seen two red hats he would have known that his hat was blue and would have guessed...
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