How are probabilities of x winning in tic-tac-toe calculated?

197 viewsMathematicsOther

Below is an example of a board state showing the probabilities of x winning in each cell. Is there a mathematical way to calculating the probabilities? I understand that the bottom left corner for x is 1 because the game will end but for the other cells i tried combinatorics/permutations but am getting no where unless I draw every possibility.

|X|0.45|0.4|
|:-|:-|:-|
|**O**|**X**|**0.1**|
|**O**|**0.25**|**1**|

In: Mathematics

3 Answers

Anonymous 0 Comments

You can’t calculate probabilities here because the choices are neither random nor equally likely. I think you’re using the wrong term.

You are viewing 1 out of 3 answers, click here to view all answers.