(I did not make this one up, but it's one of my favorites and I didn't see it on here!)
After a long shift at the restaurant, your fellow waiter Jeremiah proposes the following game: Start with an empty round table, and take turns placing a single round plate anywhere you want on the table. The plates cannot be stacked on top of each other but they can overhang the edge of the table. The first person who is not able to place a plate loses. Jeremiah's going to let you choose who goes first because he's a nice guy.
Do you go first or second, and what's your strategy?