$O \text{Vs} X$ #2

Logic Level 3

Its $\color{#D61F06} \text{X's}$ turn. $\color{#3D99F6}\text{O}$ and $\color{#D61F06}\text{X}$ are playing optimally. Who will win this tic tac toe game?

$$3 \times 4$ tic tac toe board$ $3 \times 4$ tic tac toe board

O X Tie

1 solution

Oliver Papillo
Oct 20, 2017

The answer is X: Assuming that 3 in a row is required to win, X can force a win.

First, x moves in the upper left centre square.

Then o is forced to move in the upper right centre square.

Then x is forced to move in the lower left corner square.

Then o is forced to move in the left centre edge square.

Then x is forced to move in the right centre middle square.

Then o is forced to move in the lower right corner square.

Now, if x moves in the lower left centre square, the board will look like this (where B is a blank square),

X X O B

O O X B

X X B O

X now has two winning options on the next turn, and as o cannot block both of them or win this turn, x will win and therefore has a winning strategy.

O Vs X O \text{Vs} X O Vs X #2

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$O \text{Vs} X$ #2