You can always win this game if you go second | An SOS (math olympiad) puzzle

The video explains the rules of the SOS game and presents a Math Olympiad problem where two players take turns placing S or O in a line of 2000 squares. The goal is to spell SOS in three consecutive squares, with the last player to do so winning. The video explores strategies and thought processes to prove that the second player can always win, using symmetry and optimal play. It also includes a sponsor message about Click Up.

What is the role of symmetry in determining the outcome of the game?

What are the three chances to spell SOS in the game?

How can a player create a situation where the opponent is forced to lose?

Explain the importance of the S blank blank S setup in the game.