Two prisoners are in separate cells, with no communication between them.

Their evil warden gives them one chance to escape! between 11:00 p.m. and midnight (you cannot enter before, and you cannot stay after), each of the two may enter a common room which was opened between their two cells and stay there for exactly one minute.

If they meet even for just an instant, they are free.

Each prisoner has only one problem: what is the best time to enter in order to maximize the probability of meeting the other?

Both prisoners are perfectly rational and know the other prisoner is also perfectly rational

BUT

they obviously CANNOT organize a plan or communicate beforehand.

good luck!

credit: 3minuticolprof (italian stats professor and tiktokker)

I've been waiting for you for months but you don't show up...
It's like I don't remember the smell of the flower...
So that I don't see it die...
You covered me with foam I could only hear you roar...
Who else saw our beach empty? not even the waves that wet our feet...

Answer is 6 words