Omega appears and makes you the arbiter over life and death. Refuse, and everybody dies.
The task is this: You are presented with n (say, 1000) individuals and have to select a certain number who are to survive.
You can query Omega for their IQ, their life story and most anything that comes to mind, you cannot meet them in person. You know none of them personally.
You cannot base your decision on their expected life span. (Omega matches them in life expectancy brackets.)
You also cannot base your decision on their expected charitable donations, or a proxy thereof.
What do?
The key question is: "Why is Omega playing that game with you?"
If it's worth saying, but not worth its own post, even in Discussion, it goes here.