In short, no, Modern Warfare 3's Zombies experience is not free-to-play. Players have to purchase the full version of Modern Warfare 3 in order to access the game mode, even if they have no interest in the campaign or multiplayer. If you're an experienced CoD player, this shouldn't exactly come as a surprise.
OPERATION DEADBOLT: AN ALL-NEW OPEN-WORLD ZOMBIES EXPERIENCE\n\n For the first time, team up with other squads to survive and fight massive hordes of the undead in the largest Call of Duty Zombies map ever.
The AI developed by Google for this game uses a complex algorithm that makes it nearly unbeatable, as it is designed to always make the best possible move. However, it's not entirely impossible for a human to win, but it would require a rare set of circumstances and a mistake by the AI.
It is not possible to beat an artificial intelligence program at Tic Tac Toe using brute force, as the game has a limited number of possible outcomes and can easily be solved by the computer. Tic Tac Toe is a simple game with a relatively small number of possible moves and outcomes.