Counter-Intuitive Probability Puzzle: Random Walkers Meeting On A Grid

Alice and Bob start at opposite corners of a 5x5 grid. Alice moves up/right randomly and Bob moves down/left randomly. What is the chance they meet? What happens for an nxn grid? As n goes to infinity, the answer is interesting and involves pi! Watch the video for the solution. My blog post for this video: Links for asymptotic formula #Identities_involving_binomial_coefficients ’s_approximation If you like my videos, you can support me at Patreon: Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: