Tic tac toe winner

Logic Level 1

tic tac toe

It's $\text{(O)}$ 's turn. Which one wins the game?

Note : Both of the players play the game optimally.

This problem and image of the problem are both orginal.

\text{O}

\text{X}

It is a

\text{Draw}

Not enough information

2 solutions

Matin Naseri
Feb 16, 2018

There are two case for that $\text{(X)}$ wins the game.

first case :

Second case :

Kiehl Y�igo Dela Fuente
May 27, 2020

First, let's solve on who will win this tic-tac-toe game step by step using numbers and letters on the grid. Since it's O's turn to move play, O realizes that on B-2 and C-3, there are X's which means that if O doesn't place an O on A-1, X will place a X on A-1 and wins the game regardless what O does. So O will place an O on A-1. X to move and since both think optimally, X realizes that if X places a X on C-1, he wins the game because he has two ways to win: by placing an X on either C-1, or A-3. So with both O and X knowing this, X does that. And if one way is blocked, the other way is available. But there is another way and I won't tell you because you have to look at other explanations to know out of absolute certainty that X would win. So X would win regardless of what O does.

Tic tac toe winner

2 solutions

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