User:Vampire Library: Difference between revisions

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-I'm not certain of the origins of this puzzle.
-==Puzzle==
-Two friends, Sam and Lloyd, play the following game: each boy, on their turn, removes a number from 1,...,9 without replacement. The winner of the game is the one who first obtains 3 numbers that sum to 15. Does Sam have a winning strategy assuming he goes first?
-==Help==
-{{Hint| Try to reinterpret the game as taking place on a 3x3 grid.}}
-{{Answer| No. At most he can guarantee a draw.}}
-{{Solution| We can translate the rules of the game to that of Tic Tac Toe on a 3x3 magic square (i.e. each row, column and diagonal sums to 15). Since there is no winning strategy in Tic Tac Toe neither is there for this game.}}
-==See also==
-[[Category:Game theory]]

Current revision as of 09:10, 18 November 2010