PUMaC 2019 Combinatrics B Problem 5

Marko lives on the origin of the Cartesian plane. Every second, Marko moves 1 unit up with probability 2 / 9,1 unit right with probability 2 / 9,1 unit up and 1 unit right with probability 4/9, and he doesn’t move with probability 1 / 9. After 2019 seconds, Marko ends up on the point (A, B). What is the expected value of A \cdot B?