Someone should do a proper game-theoretical analysis of hangman: you're playing hangman with DEATH, who has chosen an n-letter word according to an optimised st

Someone should do a proper game-theoretical analysis of hangman: you're playing hangman with DEATH, who has chosen an n-letter word according to an optimised strategy to minimise your chances of survival, assuming that you too will be following an optimal strategy. So a word containing very few common letters will probably be chosen with a higher probability that one that contains lots of common letters, so a frequency analysis of a dictionary won't directly help you.