Lots of my readers are poker fans, so here is one for you from the current issue of online stats/probability journal Chance:
You may assume you are playing straight five-card stud poker (everyone gets five cards, all closed, no exchange) with (say) five companions, using a single normal deck. As a result of God owing you a favor, you are entitled to a full house, and you get to choose the full house you will get. Which should you choose?
Post your answer here.
[Update] By popular request — okay email besiegement — there is an answer here, but be sure not to peek too soon.