Every child knows how to play this game. You make a square of nine cells,
and each of the two players, playing alternately, puts his mark (a nought
or a cross, as the case may be) in a cell with the object of getting
three in a line. Whichever player first gets three in a line wins with
the exulting cry:--
"Tit, tat, toe,
My last go;
Three jolly butcher boys
All in a row."
It is a very ancient game. But if the two players have a perfect
knowledge of it, one of three things must always happen. (1) The first
player should win; (2) the first player should lose; or (3) the game
should always be drawn. Which is correct?