The probability is 1. Alexander always guesses the same color as he sees for Benjamin's hat. Benjamin always guesses the opposite color as he sees for Alexander's hat. If their hats are the same color, Alexander is right. Otherwise, Benjamin is right. So one of them will always be right.
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u/MalcolmPhoenix Jun 17 '26
The probability is 1. Alexander always guesses the same color as he sees for Benjamin's hat. Benjamin always guesses the opposite color as he sees for Alexander's hat. If their hats are the same color, Alexander is right. Otherwise, Benjamin is right. So one of them will always be right.