Can anyone tell me factually, What are the odds of reaching a tie in the game Othello?

Question

My best friend and I one evening played a game of othello, and we tied at the end. It was wierd. Upto that piont Ididnt even think it was possible.

Answer 1

Well I do not believe there is a set answer.

If you get two identically matched players there there is a high chance of them getting a draw.

If 64 pieces are played and the play is even then it could be 32 each.

Where one player is much better than the other then it is not likely to be a draw at all.

I would estimate where the players are fairly even then it is about 20-1 allowing for the fact that there may be an odd number played in which case it could not be a draw.

Good game.

Answer 2

99 to 1

Answer 3

There are 8 x 8 x 2 x 64! combinations.

That is 8^2 x 2 x 64!

That is 64 x 2 x 64!

That is 64^2 x 2 x 63!

That is 4092 x 2 x 63!

That is 8184 x 63!

etc etc etc until....

The number of places left on the board that could cause a tie barring all other outcomes = 1/64

So 1 in 64