Mr. A lives at origin on the Cartesian plane and has his office at (4, 5). His friend lives at (2,3) on the same plane. Mr. A can go to his office travelling one black at a time either in the + y or + x direction. If all possible paths are equally likely then the probability that Mr. A passed his friends house is (shortest path for any event must be considered)

Question : Mr. A lives at origin on the Cartesian plane and has his office at (4, 5). His friend lives at (2,3) on the same plane. Mr. A can go to his office travelling one black at a time either in the + y or + x direction. If all possible paths are equally likely then the probability that Mr. A passed his friends house is (shortest path for any event must be considered)