Three-way Pistol Duel

This is very cool!

You’re a cowboy, and get involved in a three way pistol duel with two other cowboys. You are a poor shot, with an accuracy of only 33%. The other two cowboys shoot with accuracies of 50% and 100%, respectively. The rules of the duel are one shot per cowboy per round. The shooting order is from worst shooter to best shooter, so you get to shoot first, the 50% guy goes second, and the 100% guy goes third, then repeat. If a cowboy is shot he’s out for good, and his turn is skipped. Where or who should you shoot first?

Without going into to any detailed probability outcome calculations, is there any other heuristic other than “aim for the guy with the best aim first?” I suppose I would be surprised if that wasn’t the case.

http://www.boingboing.net/2007/09/21/puzzle-threeway-pist.html

http://howithappened.com/2007/09/three-way-pistol-duel-puzzle.html

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