Consider the following two player game:
Two players take turns naming numbers 1 through 9. Players may not name a number that has already been named. If at any point three of the numbers that one of the players has named add up to exactly 15, that player wins. After all 9 numbers have been named, if neither player has already won, the game is declared a tie.
Is this game a first player win, a second player win, or a tie? This problem shouldnt be too difficult to solve on a computer, but you get bonus points if you can convince a friend of the correct answer in two minutes with out a computer. Solution in comments.