in 4d chess, kings have more legal moves than rooks
a rook can move across the whole board in each dimension, so that's 8n-1 legal moves
a king can move to either the faces or the vertices of the surrounding hypercube, so that's 2n+2^n
2d: 15 vs 8
3d: 23 vs 14
4d: 31 vs 32
@samlakig wait for the first 51 cards. if they turn up 25R/26B, then say stop and collect your dollar. otherwise, don't say stop at all. this gives you $0.5 in expectation.
(of course, with the stipulation that you *must* say stop, you can't beat 50/50)
@nosilverv dude WHAT how did you do that
I skipped the 2nd para on first read before registering what I was doing
and then had to read it 3x from the beginning and consciously refocus because nothing was going in. did not have this experience with first and last bit. all subconscious!
@andreamiotti wouldn't log utility consider the value of ending human existence to be log(0) = โโ, and thus refuse to take any gamble involving any positive probability of it?
@yhdistyminen you can read this another way. I could well agree with Kitten that this is "the strongest argument against women's suffrage". it's also not compelling at all! this goes to show that women's suffrage is good.
@vivian39_ why is throughput the optimisation target? the more valuable metric is how quickly you *can* get through. saving time for walkers is more important than saving time for standersโif the latter cared about speed, they would be walkers!
@farfromallover@McVities I did the maths on this some time back. If you have seen N varieties but there are more, there is a 95% chance you see a new one within the next 3N samples. you've seen 16, so if you buy 48 *more*, there's a 95% chance you will see a new one, if it exists. https://t.co/X27DYHc6hL
@OrionMorales085@Ground_app yeah, I agree with this. maybe it's nice in theory to keep very young children off the depths of tiktok, but a blanket ban they try to enforce with ID has far too many horrible implications for online privacy.
@OrionMorales085@Ground_app I agree! it'll require you to submit your photo ID to every site you want to access. I'd rather not do that. (and if it didn't, as you say, the best they can do is "Are you 16?", and that doesn't do anything!)
@jakonian these people will do nothing but pull up the ladder behind them day after day. "yes of course we went out to play with our friends every day and came back after dark, had fun, got into trouble. no you can't do the same. get back inside."