: The Truel : as opposed to the duel : This is a mathematical puzzle, which I recently saw on the A Word A Day mailing : list. : You're involved in a duel, but with three people, hence a truel. You face two : other competitors, and all of you are armed with guns which will kill an opponent : if the shot hits. Each of you is allowed to fire a single shot at a time, and may fire : at one of your remaining opponents. However, not everyone is an equally good shot: : you're the worst of the three, hitting only once out of every three shots fired; the : next person hits once out of every two shots; and the last person is an expert, : hitting with every shot fired. The shots are fired in reverse order of accuracy, : so you get the first shot, and the expert-shot gets the last shot of each round. : The trilemma : How do you maximize your chances of surviving this conflict? : Note: Your options are restricted to choosing what to do with your gun at each : turn. You may not make friends with either of your opponents (there has been : some bitter feud), nor may you run away (you'll be shot in the back as a coward), : etc.