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8 members have voted

Ibeatyouraces
Ibeatyouraces
Joined: Jan 12, 2010
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June 11th, 2017 at 10:24:13 AM permalink
Quote: billryan

I approached it differently.
I simply killed 22 of the horses, the survivors were now my three fastest. Only ran one race and had a heck of a bbq.
Sometimes a hammer works just as well as math.


In that case, a race wasn't necessary.
DUHHIIIIIIIII HEARD THAT!
prozema
prozema
Joined: Oct 24, 2016
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June 11th, 2017 at 10:26:21 AM permalink
Quote: billryan

I approached it differently.
I simply killed 22 of the horses, the survivors were now my three fastest. Only ran one race and had a heck of a bbq.
Sometimes a hammer works just as well as math.



Glue and hotdogs are +EV?
billryan
billryan
Joined: Nov 2, 2009
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June 11th, 2017 at 10:27:54 AM permalink
22 dead horses is like six weeks of free Carl Jr's.
Ibeatyouraces
Ibeatyouraces
Joined: Jan 12, 2010
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June 11th, 2017 at 10:31:52 AM permalink
This reminds me of the episode of All in the Family where Archie eats horse meat.
DUHHIIIIIIIII HEARD THAT!
OnceDear
Administrator
OnceDear
Joined: Jun 1, 2014
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Thanks for this post from:
charliepatrick
June 11th, 2017 at 1:07:24 PM permalink
I googled it and still too slow to win a beer.
Here's a graphical explantaion
http://puzzles.nigelcoldwell.co.uk/fiftynine.htm
Take care out there. Spare a thought for the newly poor who were happy in their world just a few days ago, but whose whole way of life just collapsed..
Wizard
Administrator
Wizard
Joined: Oct 14, 2009
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June 11th, 2017 at 1:33:28 PM permalink
Quote: OnceDear

I googled it and still too slow to win a beer.
Here's a graphical explantaion
http://puzzles.nigelcoldwell.co.uk/fiftynine.htm



That's a good site. I think that will give me more math problem ammunition for a while.
It's not whether you win or lose; it's whether or not you had a good bet.
TheoHuxtable
TheoHuxtable
Joined: Feb 24, 2016
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June 11th, 2017 at 1:54:29 PM permalink
I was asked this exact question as part of the interview for an entry level casino analyst (bean counter) position by one of the major Strip companies.

Other questions included:
-I give you three identical brown paper bags. One contains only apples, one has only oranges, and one has both apples and oranges. I intentionally mislabeled each bag (ie the bag with only apples is definitely not labeled as "apples only"). You can reach into one bag and pull out one item. After that you must properly label each bag. Which bag do you pull from and why?
-You have 9 cue balls but one of them weighs slightly less than the rest. To be able to determine which is lighter I give you a two-sided scale. What is the least number of scale uses needed to identify the light cue ball with 100% success?
-You have a pistol and sit at a table with two other armed men. Your weapon has a 1/3 chance of successfully firing when you pull the trigger. The man to your right's gun successfully fires 2/3 of the time and the other man's weapon always fires with success. Everyone in the room knows the individual success probabilities for the firearms and they all know that the other men in the room know this as well. You will be first to shoot your gun, then the man to your right has his turn to shoot (if he is still alive), then the other man (if he is still alive). What strategy gives you the greatest chance of survival?

I have no beers to give but folks might find it interesting to see how some of these dreadful bean counters are selected.
Views are my own...
prozema
prozema
Joined: Oct 24, 2016
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Thanks for this post from:
TheoHuxtable
June 11th, 2017 at 2:07:36 PM permalink
Quote: TheoHuxtable


-You have a pistol and sit at a table with two other armed men. Your weapon has a 1/3 chance of successfully firing when you pull the trigger. The man to your right's gun successfully fires 2/3 of the time and the other man's weapon always fires with success. Everyone in the room knows the individual success probabilities for the firearms and they all know that the other men in the room know this as well. You will be first to shoot your gun, then the man to your right has his turn to shoot (if he is still alive), then the other man (if he is still alive). What strategy gives you the greatest chance of survival?



This is a common paradox used as an example of a perfectly competitive market failure used in Economic study.
onenickelmiracle
onenickelmiracle
Joined: Jan 26, 2012
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June 11th, 2017 at 2:52:04 PM permalink
My gun has a 1/3 chance of success, the other 2/3, the last, 3/3. If I shoot the 2/3 and succeed, surely the sure thing will kill me if I succeed. We will both fire at the sure thing, if I succeed, the 2/3 will have no other option than to try and take me out, and if the sure thing survives, he will go after the 2/3 first because he is a greater threat. Being the 1/3, I will never be the first to die.
In the land of the blind, the man with one eye is the care taker. Hold my beer.
TheoHuxtable
TheoHuxtable
Joined: Feb 24, 2016
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Thanks for this post from:
onenickelmiracle
June 11th, 2017 at 3:08:18 PM permalink
Quote: onenickelmiracle

My gun has a 1/3 chance of success, the other 2/3, the last, 3/3. If I shoot the 2/3 and succeed, surely the sure thing will kill me if I succeed. We will both fire at the sure thing, if I succeed, the 2/3 will have no other option than to try and take me out, and if the sure thing survives, he will go after the 2/3 first because he is a greater threat. Being the 1/3, I will never be the first to die.



It's kind of a trick question as the unstated third option of "firing at the ground" is the best strategy. Shooting at the ground is the best strategy for all the men - this is what make's the paradox prozema states above.

If you shoot at the ground then the man to your right can either shoot at you (which guarantee's his death 2/3 of the time) or shoot at the other man (which results in 2/3*1/3=2/9 chance of his death on the next round) so he will also shoot at the ground. If the last man chooses to shoot directly at you then the last man now has to face a 2/3 chance of death when the man to your right shoots and if he shoots at the other man he will have to face a 1/3 chance of death from your next shot.
After seeing that the strategy chosen by the first two men poses no threat, the last man will also shoot at the ground so as to maintain this peaceful state with zero chance of death. So you all end up sitting at this table shooting your infinite rounds of ammo into the dirt until the end of time.

However, if the situation absolutely required each man to take aim at someone else at the table then I agree that your strategy is best.
Views are my own...

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