1/7000000000000 or 50/50

Kamehapa

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Weslebear said:
UNKNOWNINCOGNITO said:
Okay I've been trying to wrap my head around this and cannot make exact logical sense in it. If I were to push a button and the result of doing so shall randomly kill a person in the world what are the chances of it being my best friend ?

My argument is that it would 50/50 of it being my friend since the process is random and no one is favoured in anyway so it is either it is him or it is not him.

2 friends of mine instead say that the chances are 1 to 7 billion (assuming there are still 7 billion people on earth) that someone I know shall get axed from the random process.

I ask you escapist which one is it and why ?
The 2 given probabilities are BOTH correct but for DIFFERENT events.

The chance of your friend SPECIFICALLY dying is 50/50, there is two possibilities. Dead or alive.

HOWEVER the chance of him being chosen to die out of everyone is 1 to 7 billion because he is 1 out of 7 billion.

Just because it's random does not make it 50/50 for him being chosen, infact it specifically makes it fair for all, because it's random anyone has an equal chance so it's 1 out of 7 billion.
Completely wrong for the first part. The chance of your freind dying is infact 100% because all people die. The odds of friend dying at that exact moment is slightly better, but almost indistinguishable from, 1/(the world's population) because he could die from something unrelated to the button press. Finally the chance of your friend dying BECAUSE of the button press is 1/(the world's population). There are no 50/50 odds concerning life and death anywhere near this question.
 

4173

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ZeroMachine said:
4173 said:
Marter said:
Man, I remember when Corner Gas did a gag on this.

Anyway, it's 1/7,000,000,000, as the number of possibilities doesn't equate to the probability that one of them is chosen.
There's either a riot or there's not. 50/50
Except no. We aren't talking that. We're talking whether or not (I seriously can't believe people even had to explain this) his friend dies when he presses the button. The button kills one of the 7 billion people on the planet at random. From his point of view, yes- either his friend lives or dies. But we're talking about the actual odds that he dies if the button is pressed.

Look at it this way:

1 Button Press = 1 Dead Person other than the OP
People other than the OP = 7 Billion
OP's Friend = 1

In order for the outcome to be 50/50, OP's friend would have to equal half of the people other than the OP. 1/2 of 7 billion is 3.5 billion. His friend is only 1. That means that he is 1 out of 7 billion. And there are the odds. 1 out of 7 billion.

And I swear, don't even try and prove me wrong. Because you will be wrong. This is how probability works when you're just looking at the numbers.
Well, I can prove you wrong quite easily. I was paraphrasing the t.v. show mentioned in the post I quoted. So I'll just sit here not being wrong.
 

Doom-Slayer

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Jul 18, 2009
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UNKNOWNINCOGNITO said:
Okay I've been trying to wrap my head around this and cannot make exact logical sense in it. If I were to push a button and the result of doing so shall randomly kill a person in the world what are the chances of it being my best friend ?

My argument is that it would 50/50 of it being my friend since the process is random and no one is favoured in anyway so it is either it is him or it is not him.

2 friends of mine instead say that the chances are 1 to 7 billion (assuming there are still 7 billion people on earth) that someone I know shall get axed from the random process.

I ask you escapist which one is it and why ?
The chance of your friend being killed out of everyone in the world is 1/(7billion - 1) or whatever the population is.

You're logic is that there are 2 possibilities and its a 50/50 each way. You're looking at it wrong. Flipping a coin is 50/50 NOT because there are 2 options. Its because there are 2 options and BOTH ARE EQUALLY likely. The chance that one person OTHER than your friend dying is almost guaranteed, the chance of your friend dying out of everyone is tiny, these are 2 options but they do not have the same chance.
 

Vhite

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OldKingClancy said:
Vhite said:
I agree. If you did it 1000 times and your best friend would be still alive then the truth would be noticable howover when you do it just once you have no idea what might happen because there always is chance that it would be him so it would be 50/50.
You seem to be doing the same; it has to be the same number of people on either side for it to be 50/50.

The 50/50 refers to the actual numbers, not the "he's dead or he's not" aspect. Its not "him or not", its "him or one of the other 6,999,999,999 other people".
I know that chance is actually really low but normally chance could be proven only when tested. If you would have done it multiple times and the chance would be proven, you would not have a problem pressing the button again however mental state of person who is going to press this button for a first time would be that anything can happen and subjectively for him/her it would be 50/50 . I know we are talking about two different things and and that 50% isnt chance but the thing is if someone told you they will give you 1000? if you press a button that has 0.0001% chance to kill you or do nothing, would you press it?
 

Imperioratorex Caprae

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It depends on the truth of algorithm this so called killer button uses. Depending on the malicious intent of said button, and whoever made it, it could be more than a 50/50 chance. I wouldn't trust that whoever puts that choice before me to be completely honest.
 

direkiller

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HerbertTheHamster said:
UNKNOWNINCOGNITO said:
2 friends of mine instead say that the chances are 1 to 7 billion (assuming there are still 7 billion people on earth
should be 1 to 6999999999999. None of you are right.
err no
a 100 year storm happens once in a 100 years or 1/100

its (part/total) not (part/total-part)
 

Cap'n Ninja

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UNKNOWNINCOGNITO said:
My argument is that it would 50/50 of it being my friend since the process is random and no one is favoured in anyway so it is either it is him or it is not him.

2 friends of mine instead say that the chances are 1 to 7 billion (assuming there are still 7 billion people on earth) that someone I know shall get axed from the random process.

I ask you escapist which one is it and why ?
It is either him, his neighbour, his mother, his brother, his aunt, his childhood friend, the child who made his shoes in a factory in Indonesia, the person who lives in a building on the exact opposite side of the earth or anyone else.

The odds of it being him are one in 6.8 billion and the odds of it not being him are 6.799999999 billion in 6.8 billion
 

Luke5515

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1 in 7 billion.
Just because it only has two effects for your friend, doesn't mean that there is an equal chance that either will happen.
 

Beryl77

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You're thinking this the wrong way. The outcome isn't either your friend or not your friend. It's your friend or one of the other 7 billion people out there. With your way of thinking, winning in the lottery is really easy. It'd be either you win or you don't but the real chances are much much much lower. The same goes here, if it's really random between all human beings, then the probability of it being your friend who dies, is 1/7billion. Of course the 7 billion is just a number used to make it easier.
 

Kamehapa

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Vhite said:
OldKingClancy said:
Vhite said:
I agree. If you did it 1000 times and your best friend would be still alive then the truth would be noticable howover when you do it just once you have no idea what might happen because there always is chance that it would be him so it would be 50/50.
You seem to be doing the same; it has to be the same number of people on either side for it to be 50/50.

The 50/50 refers to the actual numbers, not the "he's dead or he's not" aspect. Its not "him or not", its "him or one of the other 6,999,999,999 other people".
I know that chance is actually really low but normally chance could be proven only when tested. If you would have done it multiple time and the chance would be proven, you would not have a problem pressing the button again however mental state of person who is going to press this button for a first time would be that anything can happen and subjectively for him/her it would be 50/50 . I know we are thinking two different things and and that 50% isnt chance but the thing is if someone told you they will give you 1000? if you press a button that has 0.0001% chance to kill you or do nothing, would you press it?
But the rules for this box were already stipulated, so no, it's not 50/50. you might be able to argue some odds based on the likelihood the information was correct, but even then it would not be anywhere near a 50/50 chance. Numbers are not subjective, I am sorry if you do not realize this.

as for you question, 0.0001% to kill me or do nothing I wouldn't press, because there is a 99.9999% chance that it will do something that won't kill me and I don't have any clue what that something is. if you meant 0.0001% that it will kill me and a 99.9999% it would do nothing, Hellz yeah I would press it.
 

Bebus

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Imagine the same on a smaller scale: rolling a die when you want a six.

Theoretically, you have two potential outcomes: you get a six or you don't. But that does not make both possibilities equally likely; it is more likely to be 'not six' than 6; there are 5 equally likely 'not six' outcomes as opposed to only one 'six'.
 

ultimateownage

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A half would mean that it would have to favour him 6.97 billion times more than anyone else on the planet.
Pretty sure the number in the title is larger than 7 billion. Actually, that number is 7 trillion.
 

Scarim Coral

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Dammit this is mind boggling me!
Quite frankly I think possibility are correct. Yes it is 50/50 but to be honest the chanse of your mate being being killed is very slim due to the other random people involve in the chance.
 

Callate

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The fact that a possibility is an either/or (or can be viewed as an either or) does not mean that the two possibilities are equally weighted. You could be struck by a wildly off-course bus the instant you walk out the door. You could be struck by a wildly off course bus at the same moment your lottery ticket is announced as the winner. That there is a state of "not being struck by a bus and simultaneously winning the lottery" and a state of "being struck by a bus and simultaneously winning the lottery" does not make the chances of those two possibilities "50/50".
 

Indeterminacy

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SirBryghtside said:
Read my above post. Different perspectives don't matter.

Also, I don't believe there's such a thing as being too logical. I detest philosophy.
Look, the way you enumerate the range of states you consider is exactly what matters when it comes to ascribing probabilities. How you do that is a matter of understanding the logical division of any given problem into state descriptions, which is in the abstract a very difficult question. I phrased it as a philosophical problem to draw upon the notion of "explanation", but it's equivalently a very difficult computational problem too (most likely an intractible one, if Godel is to be taken at face value).

What happened in the OP's case is that he misunderstood the space in question as being one of each person's dying being independent of anyone else's. In such a state space, the probability of 1/2 would be entirely correct. It's quite easy to make misinterpretations like this, especially if you're inclined to take a more generous view of the range of logical possibilities that might be available than whoever posed the question. And in fact people generally share the view that not all classical rules of logic apply in all interpretable circumstances (three-value and continuum-value logics have been used more widely recently in theoretical computer science), despite classial logic being taken for granted in high-school/junior undergraduate mathematics.

Basically, there is usually a good reason why people get confused about certain mathematical features and structures. It's just plain arrogance to dismiss it as incomprehensible ignorance, and in this case, suggests you're taking things for granted that you most likely haven't even realised.
 

Jaime_Wolf

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The button doesn't randomly choose between killing him or not killing him, it randomly chooses which person to kill.

Imagine you flip a coin a hundred times. Either it comes up heads one hundred times or it doesn't. Does this mean that there's a 50% chance it comes up heads a hundred times?