And if you give a monkey a typewriter he will eventually write the complete works of shakespeare and if you play the powerball enough you'll eventually hit a $1.5 Billion dollar jackpot but there are easier ways to read Shakespeare and more profitable ways to get a billion dollars.
What makes humans (specifically their brains and the brains of other species) so powerful is it doesn't need hundreds at attempts at playing pacman or Skyrim before it wins. There are definitely applications where it's not unreasonable to expect an AI to have the correct answer to most possibilities at its disposable (handwriting detection, for instance) but the most useful applications will be if/when AI can solve problems that rarely have similar inputs (global economics, for instance).