PROBABILITY of RANDOM walkers MEETING on a 2D grid - [EXPLAINED]
Channel: Phys Whiz
Date: 2021-05-27

This video is heavily inspired from the video by MindYourDecisions YouTube video: https://www.youtube.com/watch?v=F_kt51Qj1RI&t=576s

Problem: Alice (starts from point A) will walk north(up) or east(right) with a probability of 50% each. At the same time and at the same speed, Bob (starts form point B) will walk south (down) and west (left) with equal probabilities. What is the probability that they will meet?

The reason I make this is because I delved into some points in more detail and go at a slower pace. Furthermore, I show some simulations done using Python and also provide the links to the Python scripts down below.

Simulation video:
https://youtu.be/MBSaunCJ6f8

PowerPoint Presentation:
https://www.bragitoff.com/wp-content/uploads/2021/05/random_walkers-copy.pptx

Python scripts:
https://www.bragitoff.com/2021/05/random-walkers-walking-on-a-2d-grid/

References:
https://www.youtube.com/watch?v=F_kt51Qj1RI&t=576s

https://math.stackexchange.com/questions/2262353/probability-of-two-people-meeting-in-a-given-square-grid


If you have any questions/doubts/suggestions, leave them in the comment's section down below.

Hope you find it useful!

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