A Guaranteed Winning Position?
You are playing a game of Tic-tac-toe. You are playing as while your opponent plays as . The game plays as shown:
If it's your turn, which of the following moves should put your next in order to guarantee a win? or ?
Assume your opponent plays optimally, that is your opponent always try to win and always try to save themselves from losing.
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1 solution
If you put the X on A, your opponent has to put the O on the bottom row- middle column. Then you place the X on the center or top row-last column. Your opponent can't stop both the winning possibilities in a single move so you can win with A.
If you put X on B, your opponent has to put the O on the top row-first column. Then you put the X on the bottom row-first column. Your opponent can't stop both the winning possibilities in a single move so you can win with B.
If you put X on C, your opponent has to put the O on the middle row third column. Then you put the X on the center. Your opponent can't stop both the winning possibilities in a single move so you can win with C.
Hence you can win with all A,B and C.