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Q: Analysis of options in a shooting match ( Answered ,   0 Comments )
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 Subject: Analysis of options in a shooting match Category: Miscellaneous Asked by: maxinebrooklyln-ga List Price: \$5.00 Posted: 27 Jun 2006 04:54 PDT Expires: 27 Jul 2006 04:54 PDT Question ID: 741403
 ```There is a riddle or puzzle that analyzes the options of three people with guns, each of whom is in a position to kill the others. (I just watched "The Good, the Bad and the Ugly" and can't remember the analysis of strategies.) It might seem that the worst shooter should aim for the best shooter, but my memory says that isn't the way the analysis worked out. Can you help?```
 ```Dear maxinebrooklyln-ga, It is known as the Truel puzzle. According to the Brainyplanet article referred to below, the earliest reference to puzzle is in Kinnaird?s Encyclopedia of Puzzles and Pastimes (1946). There are slight variations to the puzzle, so here below are some examples. Article ?Truel in the sun.? http://www.maa.org/mathland/mathtrek_1_26_98.html Brainteaser Central http://www.brainteasercentral.com/riddle.php?riddleid=648&status=a&PHPSESSID=11e504651b6cbeb90a618042ad2a3086 Everything2.com Question http://www.everything2.com/index.pl?node=old%20chestnut%3A%20truel Answer http://www.everything2.com/index.pl?node=answer%3A%20truel Math Forum http://mathforum.org/library/drmath/view/55662.html http://mathforum.org/library/drmath/view/55630.html Braingle http://www.braingle.com/brainteasers/teaser.php?op=2;id=22672;comm=1 Brainyplanet which unfortunately does not give the set up of the original problem which appears in the below book. http://brainyplanet.com/index.php/Truel%20Solution?PHPSESSID=d799d1707bf6337c0547a1d6d275c326 Challenging Problems in Probability with Solutions (Paperback) by Frederick Mosteller http://www.amazon.com/gp/product/0486653552/104-2767448-8741565?v=glance&n=283155 I hope this answers your question. If it does not, or the answer is unclear, then please ask for clarification of this research before rating the answer. I shall respond to the clarification request as soon as I receive it. Thank you answerfinder Search strategy "three men " shoot logic duel Truel ://www.google.co.uk/search?hl=en&q=truel&btnG=Search&meta=``` Request for Answer Clarification by maxinebrooklyln-ga on 29 Jun 2006 04:02 PDT ```Thank you for your answer, which is fine. This is what I was looking for in terms of the analysis I had read and forgotten. However, I am sorry I didn't get back to Google Answers in time to ask for clarification (I was waiting for an e-mail and forgot that there is no e-mail notification). It seems to me that the situation in "The Good, the Bad, and the Ugly" is different from what the truel puzzle sets up in that 1) there is no prescribed order of shooting, i.e., each shooter has the option of shooting first, and 2) shooting into the ground isn't an option because it would be a wasted shot since each shooter knows that he'll either kill or be killed. Is it possible to say under these conditions what each shooter's first shot should be? Specifically, if Blondie is the best shooter, Angel Eyes is the second best, and Tuco is the worst, who should each one shoot first? Obviously the script writer had Blondie shoot Angel Eyes first. Thanks, Maxine Brooklyn``` Clarification of Answer by answerfinder-ga on 29 Jun 2006 06:27 PDT ```I'm sorry Maxine, but I cannot help you on that. All the references I found to to the problem have the participants taking their shots in turn. None in which they all shoot at once. As for the film, I'm not a fan of the genre and I saw it years ago and really cannot recall any part of it. Perhaps a more logically minded researcher may come up with a solution. answerfinder-ga```
 maxinebrooklyln-ga rated this answer: ```I must take responsibility for not getting a completely satisfactory answer because I didn't get back to the Google Answers web site in time to ask for a clarification before the closing deadline.```