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3. This is the marble game: There are a certain number of marbles; I can pick up anywhere from 1-4 marbles. My opponent then chooses

3. This is the marble game: There are a certain number of marbles; I can pick up anywhere from 1-4 marbles. My opponent then chooses to pick up 1-4 marbles. The person who picks up the last match loses. There are 10 marbles. You go first. Do you have a dominant move that will guarantee you will win? What is the nature to win this game?


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