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Author Topic: Truel  (Read 3223 times)
Cf
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« 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?
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AndrewT
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« Reply #1 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
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RED-DOG
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« Reply #2 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?
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Cf
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« Reply #3 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.
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Claw75
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« Reply #4 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.
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« Reply #5 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
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« Reply #6 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.
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bobby1
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« Reply #7 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?
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« Reply #8 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
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Cf
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« Reply #9 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?
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« Reply #10 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.
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« Reply #11 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?
Spoiler so in small
Supposing A shoots skywards, B shoots and misses, what does C do? Just chill and not get an attempted murder charge right?
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« Reply #12 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?
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« Reply #13 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.
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« Reply #14 on: May 15, 2012, 07:57:28 PM »

A has to shoot C and miss on purpose.
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
« Last Edit: May 15, 2012, 08:00:13 PM by smashedagain » Logged

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