An Interesting question about probability...
You are in the audience at a small, intimate theatre, watching a magic show. The magician hands a pack of cards to a random member of the audience, asks him to check that it's an ordinary pack, and would he please give it a shuffle. The magician turns to another member of the audience and asks her to name a card at random. "Ace of Hearts," she says. The magician covers his eyes, reaches out to the pack of cards, and after some fumbling around he pulls out a card. The question to you is what is the probability of the card being the Ace of Hearts?
Answer in the comments and then read the whole article.
(I could argue that this is related to game strategy, and it may be, but I really just like the arguments this causes.)