The Monty Hall problem post reminded me of another puzzle.
A man is shipwrecked on a remote island. The inhabitants of this island are born with either a red dot or a blue dot on their forehead and they never discuss the color of their dot. In fact, their religion states that if they figure out what color dot they have they must throw themselves in the volcano at dawn the next morning. The people also have perfect logic and deductive reasoning skills. After a few weeks the shipwrecked man builds a new boat and one day at noon he leaves. All the natives are present to see the stranger off, and just as he is leaving he says "At least one of you has a blue dot".
What happens?
A man is shipwrecked on a remote island. The inhabitants of this island are born with either a red dot or a blue dot on their forehead and they never discuss the color of their dot. In fact, their religion states that if they figure out what color dot they have they must throw themselves in the volcano at dawn the next morning. The people also have perfect logic and deductive reasoning skills. After a few weeks the shipwrecked man builds a new boat and one day at noon he leaves. All the natives are present to see the stranger off, and just as he is leaving he says "At least one of you has a blue dot".
What happens?