Three Dots



Difficulty: Hard



A man walks up to you offering you a chance to be named one of the three smartest people in the world. You, of course, agree, and he brings to to a small forest clearing where two other people are tried to their chairs, with their chairs tied to a tree. He offers you a chair, which is also tied to a tree. You sit down and he ties you up as well. You are sitting in one corner of the triangle, so you can see both of the other people and they can see you. Next the man blindfolds all three of you.

"I am going to paint a red or green dot on each of your foreheads. If you see at least one green dot, raise your hand. You must guess which color dot is on your forehead. If you guess right, I will let you go and give you the title of smartest person on earth. If your wrong, I'm not going to untie you."

The man paints a dot on each of your foreheads and takes the blindfolds off. You see a green dot on both peoples' foreheads, so you raise your hand. They see at least one green dot and raise their hands as well.

After a long silence, you say, "Sir, I know which color dot I have."

Which color dot do you have and how do you know?


Hints:

You cannot see any paint, paintbrushes or paintcans

You cannot tell which way the other people are looking.

You cannot see the reflection in thier eyes (boy, some people are just pitifully desparate)



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Last edited: 11-21-MM