Two players play this game. Numbers from 1 to 9 are layed out in a row. Players take turns putting a coin on one of the numbers that does not yet have a coin on it. Player one puts his coins head-up, and player two -- tails-up.
The winner of this game is the first person to have their coins on three numbers that add up to 15. (For example if a player has coins on 1, 6 and 9, they can win the game by putting a coin on either 8 or 5.)
Is there a strategy for playing this game? Is there a sure-fire way of winning?
Excellent problem. I am sure no one would see the connection between the 1-9 row and a tic-tac-toe board. Very interesting