Those who know the movie “Deer Hunter” might remember the game of Russian Roulette, a sort of duel in which two players are supposed to shut in their own heads from a revolver until someone dies. Only one of the six positions in the drum of the revolver is loaded with a bullet. Consider the two variations of this “game”. (A) The drum of the revolver is rotated and Player 1 shuts in his head. If he dyes the game is over. If he does not, the drum is rotated again, Player 2 shuts in his head, and so on until someone dies. ... (or until ∞ ?) (B) The drum of the revolver is rotated and Player 1 shuts in his
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