I heard our professor Dales say a cool thing in one of the lectures a few months back, and I only got around to writing it down now. The question is simple: What does… … tend to as n tends to infinity? Here are two arguments: 1. The inside of the bracket goes to 1 [...]

I recently came across this really interesting puzzle: Three players enter a room and a red or blue hat is placed on each person’s head. The color of each hat is determined by a coin toss, with the outcome of one coin toss having no effect on the others. Each person can see the other [...]