Something we worked on today in class, I thought I'd share it. THINK THIS THROUGH. There is a solution. I have more to follow.
Three college students are selected to be on the hit TV game show, Dot of Fortune. One of these students has been enlightened to the ways of mathematics, and the other two are sociology majors. on this game show, there are no mirrors, no reflective surfaces, etc. - there is no way to cheat. When the students go on the game show, they are blindfolded and a dot is placed on each one of their foreheads. The blindfolds are removed and they are told that if they see a red dot, they are to raise their hands. In this case, they all have red dots on their heads, so they all raise their hands (they can't see their own dot). Whoever figures out which color dot they have first wins. After a few minutes, one of the students looks up and says "I have a red dot on my forehead." How did he come to this conclusion?
Note: He did not simply guess or speculate, he was absolutely certain he had a red dot. He had not seen his own forehead.
