Of course, I would risk AA preflop if that $200 were the last money in my bankroll. AA is the best hand in Hold'em preflop, if you don't risk this hand, then which hands should you risk with?) Whether or not you are lucky in this hand is another question. There are many factors that influence the outcome of a given hand, for example, how many opponents entered the hand with you, what style of play these opponents are, loose or tight, and many other factors. AA can be folded on the flop when you are sure your opponents are stronger than you, but you cannot fold that hand preflop.