Mathemaniac: Random walks in 2D and 3D are fundamentally different

We previously delved into the statistical physics of birds on a wire, where the avian subjects, though sober, exhibited remarkably short tempers. Now, consider the following: which journey is more likely to be completed, that of a drunkard finding their way home or a tipsy bird navigating its flight path homeward? It's an intriguing question posed by Mathemaniac in a video that explores the theoretical disparities between Brownian motion in 2D and 3D realms, all without any harm to our feathered or human friends.