I've been playing around with this for a little bit now. It's clear that it's not as straightforward as a pure plug-and-chug probability problem or a simple combinatorics problem. I'm looking at it from a couple different angles, but I don't really have time to post about them, sadly. I've played with permutations and countings of subsets and such. I'll keep thinking about it, because this does seem totally wack yo.
How will we know, when the morning comes, we are still human? - 2D
Don't worry, my friend. If this be the end, then so shall it be.
Don't worry, my friend. If this be the end, then so shall it be.