Another hypothetical situation with tough decisions. If you have trouble understanding the probabilities of survival look at the comments.

Posted by: Mathgeekjoe

You and another person are in dangerous situation. You can choose to save yourself and have a 50% chance of surviving but the other person is guaranteed to die. Or you can try to save both of you, which give each of you a 25% chance of surviving that is independant from the other person's survival.

  • Save yourself

  • Try to save yourself and the other person

33% 2 votes
67% 4 votes
Leave a comment...
(Maximum 900 words)
Mathgeekjoe says2015-04-15T11:08:54.0350732-05:00
If you try to save both of you, there is 3/16 chance only you will survive, there is a 3/16 chance only the other person will survive, there is a 1/16 chance both of you survive, and there is a 9/16 chance neither of you will survive. If you try to save yourself, there is 8/16 chance of only you surviving, there is a 0/16 chance the other person will survive, there is a 0/16 chance both of you will survive, and there is a 8/16 chance neither of you will survive.
Diqiucun_Cunmin says2015-04-15T11:17:18.3722121-05:00
If one life = one util, then expected value of the first choice is 1/2 utils; that of the second choice is 1/2, so the two are the same in utils anyway. In any case, I don't know why I'm saying all this because I'm not a utilitarian. It would be selfish of me to vote for saving myself.
Diqiucun_Cunmin says2015-04-15T11:17:34.5426697-05:00
I couldn't write out the sums in full because they get caught in the filter.
Mathgeekjoe says2015-04-15T12:14:02.6333430-05:00
Diqiucun_Cunmin, I design this and my other hypothetical choice to have the same expected values.
heil41 says2015-04-15T13:54:59.7554275-05:00
Since if we were to replay this situation 16 times we would expect 8 lives to be saved when we add up all 16 times both ways so now it comes to if you prioritize your friend's survival or yours. For me that breaks down into which race my friend is
heil41 says2015-04-15T14:06:21.9615079-05:00
heil41 says2015-04-15T14:06:56.7644386-05:00
@Diqiucun_Cunmin: were those the calculations you couldn't post?
heil41 says2015-04-15T14:47:00.0503944-05:00
Oh i need to make corrections http://goo.Gl/1JLrej
Mathgeekjoe says2015-04-15T14:55:55.4499299-05:00
Heil, I prefer you to keep racism out of my polls.
Sophia13 says2015-04-15T21:23:51.8796303-05:00
I say we ban heil again. Who's with me?

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