Title: Truel Post by: Cf on May 14, 2012, 09:47:12 PM I imagine a few have seen this before, but I hadn't until today and thought it was quite cool.
Three shooters, A, B, and C. Each has 1 bullet and they are going to take their shots sequentially in that order. A has a 1/3 chance of hitting his target. B has a 1/2 chance of hitting his target. C has a 100% chance of hitting his target. A goes first. Who should he shoot, and why? Title: Re: Truel Post by: AndrewT on May 14, 2012, 09:52:36 PM They did this on QI, before anyone pretends they worked it out.
http://www.youtube.com/watch?v=qL8raEwtzVQ Title: Re: Truel Post by: RED-DOG on May 14, 2012, 09:59:44 PM I imagine a few have seen this before, but I hadn't until today and thought it was quite cool. Three shooters, A, B, and C. Each has 1 bullet and they are going to take their shots sequentially in that order. A has a 1/3 chance of hitting his target. B has a 1/2 chance of hitting his target. C has a 100% chance of hitting his target. A goes first. Who should he shoot, and why? Are we to assume that they are shooting at each other? Title: Re: Truel Post by: Cf on May 14, 2012, 10:00:49 PM I imagine a few have seen this before, but I hadn't until today and thought it was quite cool. Three shooters, A, B, and C. Each has 1 bullet and they are going to take their shots sequentially in that order. A has a 1/3 chance of hitting his target. B has a 1/2 chance of hitting his target. C has a 100% chance of hitting his target. A goes first. Who should he shoot, and why? Are we to assume that they are shooting at each other? Yes, though with differing degrees of accuracy. Title: Re: Truel Post by: Claw75 on May 14, 2012, 10:05:25 PM if they miss their intended target will they deffo hit one of the others? If so he's got to aim at himself, surely? seems far too obvious though so assuming that's wrong.
Title: Re: Truel Post by: Jon MW on May 14, 2012, 10:13:55 PM They did this on QI, before anyone pretends they worked it out. http://www.youtube.com/watch?v=qL8raEwtzVQ They did it in game theory a long time before they did it on QI Title: Re: Truel Post by: RED-DOG on May 14, 2012, 10:19:46 PM I imagine a few have seen this before, but I hadn't until today and thought it was quite cool. Three shooters, A, B, and C. Each has 1 bullet and they are going to take their shots sequentially in that order. A has a 1/3 chance of hitting his target. B has a 1/2 chance of hitting his target. C has a 100% chance of hitting his target. A goes first. Who should he shoot, and why? Farce! Correct answer wasn't offered as an option. Title: Re: Truel Post by: bobby1 on May 14, 2012, 10:20:30 PM Surely A shoots B, as if A shoots C then its B to have a turn next and he shoots A.
Or did I misunderstand it? Title: Re: Truel Post by: gatso on May 14, 2012, 10:28:14 PM Surely A shoots B, as if A shoots C then its B to have a turn next and he shoots A. Or did I misunderstand it? but if he kills B then he's left with just C who will shoot him 100% of the time. not great odds for A Title: Re: Truel Post by: Cf on May 15, 2012, 05:47:11 PM I imagine a few have seen this before, but I hadn't until today and thought it was quite cool. Three shooters, A, B, and C. Each has 1 bullet and they are going to take their shots sequentially in that order. A has a 1/3 chance of hitting his target. B has a 1/2 chance of hitting his target. C has a 100% chance of hitting his target. A goes first. Who should he shoot, and why? Farce! Correct answer wasn't offered as an option. Yes it was... technically. What's your answer? Title: Re: Truel Post by: RED-DOG on May 15, 2012, 06:18:07 PM I imagine a few have seen this before, but I hadn't until today and thought it was quite cool. Three shooters, A, B, and C. Each has 1 bullet and they are going to take their shots sequentially in that order. A has a 1/3 chance of hitting his target. B has a 1/2 chance of hitting his target. C has a 100% chance of hitting his target. A goes first. Who should he shoot, and why? Farce! Correct answer wasn't offered as an option. Yes it was... technically. What's your answer? Well if he had to shoot at someone, (As the question implies) He would be better off shooting at himself. Title: Re: Truel Post by: rfgqqabc on May 15, 2012, 06:20:03 PM I imagine a few have seen this before, but I hadn't until today and thought it was quite cool. Three shooters, A, B, and C. Each has 1 bullet and they are going to take their shots sequentially in that order. A has a 1/3 chance of hitting his target. B has a 1/2 chance of hitting his target. C has a 100% chance of hitting his target. A goes first. Who should he shoot, and why? Farce! Correct answer wasn't offered as an option. Yes it was... technically. What's your answer? Supposing A shoots skywards, B shoots and misses, what does C do? Just chill and not get an attempted murder charge right? Title: Re: Truel Post by: bobby1 on May 15, 2012, 06:27:02 PM Surely A shoots B, as if A shoots C then its B to have a turn next and he shoots A. Or did I misunderstand it? but if he kills B then he's left with just C who will shoot him 100% of the time. not great odds for A If A shoots B, who does B then shoot when it is his turn if A has been successful? Title: Re: Truel Post by: pokerfan on May 15, 2012, 06:28:45 PM Surely A shoots B, as if A shoots C then its B to have a turn next and he shoots A. Or did I misunderstand it? but if he kills B then he's left with just C who will shoot him 100% of the time. not great odds for A If A shoots B, who does B then shoot when it is his turn if A has been successful? No one, he's dead. Title: Re: Truel Post by: smashedagain on May 15, 2012, 07:57:28 PM B then knows he has to shoot C because he knows that if he hits A then C will then take him out with his 100% accuracy. C has to shoot B because as C is still alive it means B has missed his first shot and with a 50% success will hit his second shot at C if C takes out A. A knows he will get 2 shots at B because if B hits C then he will miss his 2nd shot for his 50% record to be true. So A takes second shot at B knowing that B will miss his 2nd shot so gives A the third bullet to complete job with 3rd bullet and 33% success If A or B take out each other with their first shot they are dead from C's accuracy Lol. They only got one bullet. Obv not seen this before either Title: Re: Truel Post by: bobby1 on May 15, 2012, 08:01:34 PM Surely A shoots B, as if A shoots C then its B to have a turn next and he shoots A. Or did I misunderstand it? but if he kills B then he's left with just C who will shoot him 100% of the time. not great odds for A If A shoots B, who does B then shoot when it is his turn if A has been successful? No one, he's dead. correct, so the shooting sequence order has stopped at A, coz C doesnt fire if B doesnt fire? Title: Re: Truel Post by: gatso on May 15, 2012, 08:09:27 PM pretty sure c will still get his turn and you've not allowed for the 2 times in 3 when a misses b
we don't have enough info in op really but if we're assuming that b and c will always fire at one of the others and that their choice of target is random rather than revenge or game theory based then a is def better off shooting into the air. back of a fag packet calculations give me a 50% death rate for that, a 66% death rate if he shoots at b and some other number if he shoots at c, I got bored at this point Title: Re: Truel Post by: Cf on May 16, 2012, 12:08:11 AM It is always best for A to intentionally miss. By doing so B is forced to shoot C. For B to shoot and kill A at this point would be stupid as C will then shoot him with 100% accuracy. If B successfully shoots C then it ends with A and B alive. If B misses then C will shoot either A or B at random - but this is still better than A shooting and killing and being aimed at with certainty.
If we assume they all have infinite bullets, and continue shooting in the order A, B, C, it still works. If B and C are alive then A should intentionally miss. By doing so he ensures he will always have the first shot when it becomes a duel. Title: Re: Truel Post by: George2Loose on May 16, 2012, 12:13:29 AM Always find these thing tedious. Why does anyone have to shoot anyone?
PEACE! Title: Re: Truel Post by: smashedagain on May 16, 2012, 07:47:33 AM George is sat playing the scoop. He just posted on facebook die stars and his fairy god mother hears him. He is allowed to shoot the guy who donked him out or the CEO of Pokerstars. Who does he shoot?
Title: Re: Truel Post by: david3103 on May 16, 2012, 08:30:48 AM George is sat playing the scoop. He just posted on facebook die stars and his fairy god mother hears him. He is allowed to shoot the guy who donked him out or the CEO of Pokerstars. Who does he shoot? Lederer obv |