Quote:
Originally Posted by fetofs
The monster will then place black or white hats on their heads randomly

Since the monster is putting the hats randomly there is no real solution, there is nothing to mathematically or logically think about. Standing anywhere is equivalent. The main factor will be luck, which is again random. Or as some say "chance favors the prepared mind". What if the people united to fight the monster.
Anyway for the probability of being eaten is here, based on position
#10=50%
#9=33%
....
Since the person standing first in the line has the lowest probability of being eaten, standing there is the best thing. They will avoid the monster the longest. But again it is based on luck and anything can happen.
Citrix