What is the probability of winning Tic-Tac-Toe?

In this way, we have assigned a probability to each possible tic-tac-toe game. We can then also ask for the probability of any event, or subset of the sample space of all games. In class we showed that the probability of the event that the game ends in a draw is exactly 8/63.

How many winning configurations are possible for a player in the Tic-Tac-Toe game?

There are 255168 possible game of Tic-tac-toe excluding symmetry. The first player wins 131184 of these, the second player wins 77904 games and the remaining 46080 are drawn. As has been pointed out, with best play all games should result in a draw.

Is tic tac toe a game theory?

Because tic tac toe is a game with a finite amount of possible grid positions and finite amount of ways to fill up the grid with different combinations of 5 Xs and 4 Os, this makes tic tac toe game that can be completely analyzed for a perfect strategy in which neither player wins, concluding in a draw.

Why is tic tac toe a tie?

Originally Answered: What is the best strategy for Tic-Tac-Toe? Best strategy, if followed by both players, leads always to a tie. This is because the game is a zero-sum game (as defined in game theory) and if both players are playing with an optimal strategy, every game will end in a tie.

Can Tic Tac Toe be won?

A player can play a perfect game of tic-tac-toe (to win or at least draw) if, each time it is their turn to play, they choose the first available move from the following list, as used in Newell and Simon’s 1972 tic-tac-toe program. Win: If the player has two in a row, they can place a third to get three in a row.

Is there a strategy to Tic Tac Toe?

When you’re the first one up, there is a simple strategy on how to win tic tac toe: put your ‘X’ in any corner. This move will pretty much send you to the winner’s circle every time, so long as your opponent doesn’t put their first ‘O’ in the center box. This can make it harder to win, but it can happen.