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Three Gunmen

Logic puzzles require you to think. You will have to be logical in your reasoning.


Puzzle ID:#47695
Fun:*** (2.53)
Difficulty:** (1.23)
Submitted By:Mathgeek007Aca****!




There are three gunmen on horses. Ab has a 100% chance of hitting his target when he shoots, but has a weak gun. He never misses. Bob also has a 100% chance of hitting, but he has a tremendous strong gun. However, Cam only has a 50% chance of hitting with his musket. Simultaneously, they all take a shot. One man is left alive. Who?

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Aug 08, 2010

This was fun to think through; thanks!

BUT! I don't think you are using logic. You suggest one course of action, but it is simply a presumption.

I think A and B would be silly to aim for each other as they know they will both be killed. It is more likely that they both aim for C. Thus C will be shot and each of A and B has only a 25% chance of being shot. This seems logical to me, but it is still presumption, not logic.

In my scenario, C managed to hit his target, but we can not know who was left alive.
Aug 08, 2010

dalfamnest is right!
Aug 08, 2010

But honestly, why wouldyou shoot Cam? If you did that, then the other person would probably shoot you, and you know you'd be dead. Get rid of the competition.
Aug 09, 2010

Andin addition, dalamfest,he would shoot for B most likely because he has a stronger gun.
Aug 14, 2010

The true question is: Why are they shooting each other? But I always ask questions like that. Good teaser, even though it was pretty easy. You just gotta know what you would probably do in each guy's position.
Oct 04, 2010

@dalfamnest .. I think the solution is quite logical.. Cam will be the one alive. Firstly it is reasonable to assume that after an initial calculation of survival probabilities, they shoot away immediately and not wait till they point guns at each other. If Ab doesn't know who Bob will shoot, killing off Bob would give him a 75% chance of survival against Bob choosing Ab randomly and shooting him which would give him a 50% chance of survival. Same logic applies for Bob. Hence they shoot each other.
Oct 11, 2010

Great teaser even though a bit easy. But it doesnt quite make sense. If all men are logical then they shouldnt be shooting at all. If A shoot C, B will shoot A, and B will surely win (same thing for B). If A and B shoot each other then C surely will win. So yeah if they all think then one way or another who ever fire first will get killed so no one should fire at all.
Nov 06, 2010

Good job, Racers.

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Jan 15, 2011

This was difficult for me (not a problem, though). It was fun and I rated it TOPS. Thanks for posting and thanks for visiting some of my teasers.
Jun 28, 2011

three gunmen has chances of shooting themselves
Jul 01, 2011

The biggest problem I have with this is that there is no mention that the men know each others strengths and weaknesses. However, since the teaser implies there is only one correct answer, you have to fill in some blanks to make that true. When you do, you come to the logical conclusion (as any good Vulcan would) that Cam is left standing.
Aug 23, 2011

it never says that they were shooting each other.
Oct 13, 2011

I was thinking along the lines of Bob surviving. My logic was that having a stronger gun may have recoiled enough to dislodge him from his horse causing whoever was firing to miss.

But, the other guy has a 100% chance if he aims at Bob right? Well in this scenario I see no difference between a strong and weak gun as evidenced by the answer; both men die. Why else mention a strong gun??

Enjoyed it though!
Oct 13, 2011

To add confusion to that fact.

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