Posts Tagged ‘logic puzzles’
You and a friend have time to kill and lots and lots of Toblerone (thanks Santa!) so you have decided to pass the time by playing a lethal game involving chocolate.
100 dwarves are captured by an evil goblin milliner who has an over-abundance of red and blue hats and who really does not like dwarves. Being an evil goblin, he has concocted a fiendish, fiendishly complex game by which he hopes to kill as many of them as possible:
Five hyper-rationalists have been forced to pick a number between 1 and 100. The individual (or individuals) who pick the 2nd highest number is allowed to live, all others are executed by some capricious demon. What number do the hyper-rationalists pick and how many survive?
NB: Me and some friends spent 10 minutes discussing this and could not agree on a solution, is there one?