Grid Walking Problem | Quant Interview Question

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Question: A mouse starts at the bottom left corner of a 8 x 6 grid. At each step, he can only move RIGHT or UP, moving on the grid lines. He wants to get to the upper right corner, where the cheese is located.
All unique paths are equally likely to be chosen. What's the probability that he will pass through the center of the grid?

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Timecodes
00:00 - Series Intro: Quant Interview Questions
00:16 - Question
00:55 - Understanding the Problem
01:57 - Solving the Problem
03:01 - Outro

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Book recommendations: atypicalquant.net/quant-books/

These should cover all the types of interview problems that one encounters at hedge funds such as Two Sigma (2sigma), Citadel, WorldQuant, BlackRock, Optiver, Jane Street, Akuna Capital, Hudson River Trading, etc.

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These animations are largely made using manim: github.com/3b1b/manim. Special thanks to 3Blue1Brown and the manim community!

Music: www.bensound.com/

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