Interesting question I found on
Paul Kedroskey's Blog.
"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?"
According to the blog, this question is the subject of a paper published in the most recent edition of Chance.
I think we are to assume the game has a no limit betting structure.