should be the same as probabilities for other things we have very strong reason to believe are simply impossible: 1 - epsilon.
I'm pretty sure the probability of almost certainly impossible things being possible is lower than 1-epsilon. Except for very large values of epsilon.
Indeed, for values of epsilon approaching one.
I was very interested in the discussions and opinions that grew out of the last time this was played, but find digging through 800+ comments for a new game to start on the same thread annoying. I also don't want this game ruined by a potential sock puppet (whom ever it may be). So here's a non-sockpuppetiered Irrationality Game, if there's still interest. If there isn't, downvote to oblivion!
The original rules:
Enjoy!